problem: Rosenbrock Function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 94 ( 0.1 percent) Integer Workspace declared as 1000 is used up to 54 ( 5.4 percent) N = 2 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 2 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.348E+01 0.366E+01 0 2 0.576E+01 1 0.345E+01 * 0.362E+01 0.01000 1 0.345E+01 0.356E+01 0 2 0.560E+01 2 0.116E+02 * 0.753E+00 0.55029 2 0.116E+02 0.115E+01 0 2 0.100E+01 3 0.664E+01 * 0.523E+00 0.87723 3 0.664E+01 0.818E+00 0 2 0.352E+01 4 0.102E+00 * 0.102E-01 1.00000 4 0.102E+00 0.102E-01 0 2 0.400E+01 5 0.000E+00 * 0.000E+00 1.00000 5 0.000E+00 0.000E+00 0 2 0.400E+01 6 0.000E+00 * 0.000E+00 1.00000 Solution of nonlinear system of equations obtained within 6 iteration steps Achieved relative accuracy 0.000E+00 Subcondition ( 1, 2) 0.400E+01 Sensitivity ( 1, 2) 0.141E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 6 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 6 *** *** Function eval. : 7 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.0000E+00 problem: Powell Singular Function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 134 ( 0.2 percent) Integer Workspace declared as 1000 is used up to 56 ( 5.6 percent) N = 4 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 4 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.733E+01 0.677E+00 0 4 0.203E+01 1 0.726E+01 * 0.670E+00 0.01000 1 0.726E+01 0.671E+00 0 4 0.203E+01 2 0.157E+01 * 0.616E-01 1.00000 2 0.157E+01 0.160E+00 0 4 0.203E+01 3 0.393E+00 * 0.400E-01 1.00000 3 0.393E+00 0.153E+00 0 4 0.243E+01 4 0.981E-01 * 0.381E-01 1.00000 4 0.981E-01 0.763E-01 0 4 0.243E+01 5 0.245E-01 * 0.191E-01 1.00000 5 0.245E-01 0.381E-01 0 4 0.243E+01 6 0.613E-02 * 0.953E-02 1.00000 6 0.613E-02 0.191E-01 0 4 0.243E+01 7 0.153E-02 * 0.477E-02 1.00000 7 0.153E-02 0.953E-02 0 4 0.243E+01 8 0.383E-03 * 0.238E-02 1.00000 8 0.383E-03 0.477E-02 0 4 0.243E+01 9 0.958E-04 * 0.119E-02 1.00000 9 0.958E-04 0.238E-02 0 4 0.243E+01 10 0.240E-04 * 0.596E-03 1.00000 10 0.240E-04 0.119E-02 0 4 0.243E+01 11 0.599E-05 * 0.298E-03 1.00000 11 0.599E-05 0.596E-03 0 4 0.243E+01 12 0.150E-05 * 0.149E-03 1.00000 12 0.150E-05 0.298E-03 0 4 0.243E+01 13 0.374E-06 * 0.745E-04 1.00000 13 0.374E-06 0.149E-03 0 4 0.243E+01 14 0.936E-07 * 0.372E-04 1.00000 14 0.936E-07 0.745E-04 0 4 0.243E+01 15 0.234E-07 * 0.186E-04 1.00000 15 0.234E-07 0.372E-04 0 4 0.243E+01 16 0.585E-08 * 0.931E-05 1.00000 16 0.585E-08 0.186E-04 0 4 0.243E+01 17 0.146E-08 * 0.465E-05 1.00000 17 0.146E-08 0.931E-05 0 4 0.243E+01 18 0.366E-09 * 0.233E-05 1.00000 18 0.366E-09 0.465E-05 0 4 0.243E+01 19 0.914E-10 * 0.116E-05 1.00000 19 0.914E-10 0.233E-05 0 4 0.243E+01 20 0.229E-10 * 0.582E-06 1.00000 20 0.229E-10 0.116E-05 0 4 0.243E+01 21 0.571E-11 * 0.291E-06 1.00000 21 0.571E-11 0.582E-06 0 4 0.243E+01 22 0.143E-11 * 0.145E-06 1.00000 22 0.143E-11 0.291E-06 0 4 0.243E+01 23 0.357E-12 * 0.727E-07 1.00000 23 0.357E-12 0.145E-06 0 4 0.243E+01 24 0.893E-13 * 0.364E-07 1.00000 24 0.893E-13 0.727E-07 0 4 0.243E+01 25 0.223E-13 * 0.182E-07 1.00000 25 0.223E-13 0.364E-07 0 4 0.243E+01 26 0.558E-14 * 0.909E-08 1.00000 26 0.558E-14 0.182E-07 0 4 0.243E+01 27 0.139E-14 * 0.455E-08 1.00000 27 0.139E-14 0.909E-08 0 4 0.243E+01 28 0.349E-15 * 0.227E-08 1.00000 28 0.349E-15 0.455E-08 0 4 0.243E+01 29 0.872E-16 * 0.114E-08 1.00000 29 0.872E-16 0.227E-08 0 4 0.243E+01 30 0.218E-16 * 0.568E-09 1.00000 30 0.218E-16 0.114E-08 0 4 0.243E+01 31 0.545E-17 * 0.284E-09 1.00000 31 0.545E-17 0.568E-09 0 4 0.243E+01 32 0.136E-17 * 0.142E-09 1.00000 32 0.136E-17 0.284E-09 0 4 0.243E+01 33 0.340E-18 * 0.710E-10 1.00000 Solution of nonlinear system of equations obtained within 33 iteration steps Achieved relative accuracy 0.710E-10 Warning: No quadratic or superlinear convergence established yet your solution may perhaps may be less accurate as indicated by the standard error estimate Subcondition ( 1, 4) 0.243E+01 Sensitivity ( 1, 4) 0.141E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 33 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 33 *** *** Function eval. : 34 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1915E-18 problem: Powell Badly Scaled Function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 94 ( 0.1 percent) Integer Workspace declared as 1000 is used up to 54 ( 5.4 percent) N = 2 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 2 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.753E+00 0.707E+00 0 2 0.544E+01 1 0.746E+00 * 0.700E+00 0.01000 1 0.746E+00 0.703E+00 0 2 0.546E+01 2 0.682E+00 * 0.260E+00 0.99501 2 0.682E+00 0.469E+00 0 2 0.985E+01 3 0.719E-01 * 0.261E+00 0.58428 3 0.719E-01 0.307E+00 0 2 0.116E+02 4 0.639E-01 * 0.147E+00 0.73779 4 0.639E-01 0.238E+00 0 2 0.188E+02 5 0.397E-01 * 0.121E+00 0.67876 5 0.397E-01 0.192E+00 0 2 0.299E+02 6 0.277E-01 * 0.947E-01 0.70405 6 0.277E-01 0.160E+00 0 2 0.506E+02 7 0.203E-01 * 0.794E-01 0.69948 7 0.203E-01 0.137E+00 0 2 0.871E+02 8 0.154E-01 * 0.665E-01 0.71181 8 0.154E-01 0.117E+00 0 2 0.153E+03 9 0.119E-01 * 0.555E-01 0.72874 9 0.119E-01 0.991E-01 0 2 0.273E+03 10 0.907E-02 * 0.442E-01 0.76856 10 0.907E-02 0.798E-01 0 2 0.494E+03 11 0.653E-02 * 0.302E-01 0.86073 11 0.653E-02 0.552E-01 0 2 0.901E+03 12 0.343E-02 * 0.139E-01 1.00000 12 0.343E-02 0.237E-01 0 2 0.154E+04 13 0.628E-03 * 0.309E-02 1.00000 13 0.628E-03 0.391E-02 0 2 0.194E+04 14 0.175E-04 * 0.958E-04 1.00000 14 0.175E-04 0.988E-04 0 2 0.200E+04 15 0.113E-07 * 0.632E-07 1.00000 15 0.113E-07 0.631E-07 0 2 0.200E+04 16 0.457E-14 * 0.502E-16 1.00000 Solution of nonlinear system of equations obtained within 16 iteration steps Achieved relative accuracy 0.502E-16 Subcondition ( 1, 2) 0.200E+04 Sensitivity ( 1, 2) 0.141E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 16 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 16 *** *** Function eval. : 17 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1491E-16 problem: Wood Function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 134 ( 0.2 percent) Integer Workspace declared as 1000 is used up to 56 ( 5.6 percent) N = 4 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 4 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.428E+04 0.497E+01 0 4 0.846E+02 1 0.423E+04 * 0.492E+01 0.01000 1 0.423E+04 0.490E+01 0 4 0.848E+02 2 0.418E+03 * 0.710E+00 1.00000 2 0.418E+03 0.722E+00 0 4 0.844E+02 3 0.256E+03 * 0.161E+00 0.81339 3 0.256E+03 0.240E+00 0 4 0.307E+02 4 0.976E+02 * 0.544E-01 1.00000 4 0.976E+02 0.204E+00 0 4 0.376E+02 5 0.334E+02 * 0.493E-01 1.00000 5 0.334E+02 0.155E+00 0 4 0.537E+02 6 0.966E+01 * 0.322E-01 1.00000 6 0.966E+01 0.788E-01 0 4 0.112E+03 7 0.161E+01 * 0.110E-01 1.00000 7 0.161E+01 0.192E-01 0 4 0.605E+03 8 0.703E-01 * 0.600E-02 1.00000 8 0.703E-01 0.579E-01 0 4 0.482E+04 9 0.683E-01 * 0.560E-01 0.03209 9 0.683E-01 0.548E-01 0 4 0.477E+04 10 0.237E+00 * 0.435E-01 1.00000 10 0.237E+00 0.104E+00 0 4 0.235E+05 11 0.221E+00 * 0.811E-01 0.15641 11 0.221E+00 0.517E-02 0 4 0.170E+05 11 0.263E-02 * 0.200E-01 1.00000 12 0.192E+00 * 0.417E-02 0.12897 12 0.192E+00 0.130E-02 0 4 0.113E+05 13 0.521E-01 * 0.119E-02 0.72945 13 0.521E-01 0.671E-03 0 4 0.424E+04 14 0.542E-04 * 0.152E-03 1.00000 14 0.542E-04 0.124E-03 0 4 0.344E+04 15 0.121E-05 * 0.200E-07 1.00000 15 0.121E-05 0.205E-07 0 4 0.344E+04 16 0.306E-13 * 0.867E-13 1.00000 Solution of nonlinear system of equations obtained within 16 iteration steps Achieved relative accuracy 0.867E-13 Subcondition ( 1, 4) 0.344E+04 Sensitivity ( 1, 4) 0.141E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 16 *** *** Corrector steps : 1 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 16 *** *** Function eval. : 18 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.2060E-13 problem: Helical Valley Function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 113 ( 0.2 percent) Integer Workspace declared as 1000 is used up to 55 ( 5.5 percent) N = 3 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 3 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.289E+02 0.181E+01 0 3 0.139E+01 1 0.286E+02 * 0.180E+01 0.01000 1 0.286E+02 0.180E+01 0 3 0.139E+01 2 0.215E+02 * 0.136E+01 0.32137 2 0.215E+02 0.191E+01 0 3 0.148E+01 3 0.155E+02 * 0.139E+01 0.32066 3 0.155E+02 0.160E+01 0 3 0.208E+01 4 0.906E+01 * 0.843E+00 0.60661 4 0.906E+01 0.706E+00 0 3 0.202E+01 5 0.518E+01 * 0.553E+00 1.00000 5 0.518E+01 0.442E+00 0 3 0.225E+01 6 0.174E+01 * 0.174E+00 1.00000 6 0.174E+01 0.125E+00 0 3 0.148E+01 7 0.184E+00 * 0.121E-01 1.00000 7 0.184E+00 0.140E-01 0 3 0.141E+01 8 0.289E-02 * 0.192E-03 1.00000 8 0.289E-02 0.191E-03 0 3 0.139E+01 9 0.456E-06 * 0.351E-07 1.00000 9 0.456E-06 0.353E-07 0 3 0.139E+01 10 0.175E-13 * 0.114E-14 1.00000 Solution of nonlinear system of equations obtained within 10 iteration steps Achieved relative accuracy 0.114E-14 Subcondition ( 1, 3) 0.139E+01 Sensitivity ( 1, 3) 0.118E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 10 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 10 *** *** Function eval. : 11 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.5323E-21 problem: Watson Function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 302 ( 0.4 percent) Integer Workspace declared as 1000 is used up to 62 ( 6.2 percent) N = 10 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 10 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.300E+02 0.331E+02 0 10 0.442E+11 1 0.297E+02 * 0.327E+02 0.01000 1 0.297E+02 0.325E+02 0 10 0.441E+11 2 0.548E+01 * 0.937E+01 1.00000 2 0.548E+01 0.721E+00 0 10 0.333E+11 3 0.633E+00 * 0.987E-01 1.00000 3 0.633E+00 0.341E+00 0 10 0.303E+11 4 0.567E+00 * 0.227E+00 0.33070 4 0.567E+00 0.362E+00 0 10 0.301E+11 5 0.102E+01 * 0.179E+00 1.00000 5 0.102E+01 0.789E-01 0 10 0.259E+11 6 0.228E+00 * 0.763E-01 1.00000 6 0.228E+00 0.335E+00 0 10 0.233E+11 7 0.206E+00 * 0.277E+00 0.17791 7 0.206E+00 0.336E+00 0 10 0.221E+11 8 0.530E+00 * 0.255E+00 1.00000 8 0.530E+00 0.396E-01 0 10 0.177E+11 8 0.602E-01 * 0.538E-01 1.00000 9 0.343E+00 * 0.310E-01 0.36867 9 0.343E+00 0.935E-01 0 10 0.146E+11 10 0.293E+00 * 0.811E-01 0.15073 10 0.293E+00 0.106E+00 0 10 0.148E+11 11 0.167E+00 * 0.696E-01 0.49780 11 0.167E+00 0.133E+00 0 10 0.150E+11 12 0.106E+00 * 0.749E-01 0.51974 12 0.106E+00 0.127E+00 0 10 0.164E+11 13 0.784E-01 * 0.142E-01 1.00000 13 0.784E-01 0.556E-01 0 10 0.178E+11 14 0.241E-01 * 0.184E-01 0.90666 14 0.241E-01 0.340E-01 0 10 0.164E+11 15 0.693E-02 * 0.395E-02 1.00000 15 0.693E-02 0.622E-02 0 10 0.161E+11 16 0.265E-03 * 0.331E-03 1.00000 16 0.265E-03 0.364E-03 0 10 0.160E+11 17 0.866E-06 * 0.811E-06 1.00000 17 0.866E-06 0.815E-06 0 10 0.161E+11 18 0.457E-11 * 0.605E-11 1.00000 Solution of nonlinear system of equations obtained within 18 iteration steps Achieved relative accuracy 0.605E-11 Subcondition ( 1, 10) 0.161E+11 Sensitivity ( 1, 10) 0.316E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 18 *** *** Corrector steps : 1 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 18 *** *** Function eval. : 20 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1603E-13 problem: Chebyquad Function, n=7 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 209 ( 0.3 percent) Integer Workspace declared as 1000 is used up to 59 ( 5.9 percent) N = 7 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 7 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.695E-01 0.120E+00 0 7 0.100E+02 1 0.688E-01 * 0.119E+00 0.01000 1 0.688E-01 0.116E+00 0 7 0.995E+01 2 0.312E-01 * 0.320E-01 0.42935 2 0.312E-01 0.156E+00 0 7 0.223E+02 3 0.285E-01 * 0.139E+00 0.05767 3 0.285E-01 0.507E-01 0 7 0.827E+01 4 0.193E-01 * 0.306E-01 0.27534 4 0.193E-01 0.180E-01 0 7 0.394E+01 5 0.694E-02 * 0.403E-02 1.00000 5 0.694E-02 0.294E-02 0 7 0.243E+01 6 0.135E-03 * 0.647E-04 1.00000 6 0.135E-03 0.685E-04 0 7 0.249E+01 7 0.121E-06 * 0.575E-07 1.00000 7 0.121E-06 0.576E-07 0 7 0.249E+01 8 0.785E-13 * 0.379E-13 1.00000 Solution of nonlinear system of equations obtained within 8 iteration steps Achieved relative accuracy 0.379E-13 Subcondition ( 1, 7) 0.249E+01 Sensitivity ( 1, 7) 0.236E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 8 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 8 *** *** Function eval. : 9 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1358E-15 problem: Chebyquad Function, n=9 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 269 ( 0.4 percent) Integer Workspace declared as 1000 is used up to 61 ( 6.1 percent) N = 9 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 9 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.566E-01 0.237E+00 0 9 0.401E+02 1 0.561E-01 * 0.235E+00 0.01000 1 0.561E-01 0.224E+00 0 9 0.394E+02 2 0.655E-01 * 0.166E+00 0.19826 2 0.655E-01 0.399E+00 0 9 0.778E+02 2 0.672E-01 * 0.424E+00 0.03445 3 0.652E-01 * 0.398E+00 0.00615 3 0.652E-01 0.229E+02 0 9 0.442E+04 3 0.653E-01 * 0.229E+02 0.00010 3 Not accepted damping factor 0.00000 0 9 3 0.652E-01 0.223E+02 0 8 0.344E+04 3 Not accepted damping factor 0.00000 0 8 3 0.652E-01 0.365E-01 0 7 0.168E+02 4 0.451E-01 * 0.273E-01 0.21755 4 0.451E-01 0.131E+02 0 9 0.486E+04 4 0.451E-01 * 0.131E+02 0.00010 4 Not accepted damping factor 0.00000 0 9 4 0.451E-01 0.162E+01 0 8 0.324E+03 4 Not accepted damping factor 0.00008 0 8 4 0.451E-01 0.213E-01 0 7 0.918E+01 5 0.336E-01 * 0.111E-01 0.98445 5 0.336E-01 0.389E+00 0 9 0.647E+03 6 0.335E-01 * 0.386E+00 0.00155 6 0.335E-01 0.523E-01 0 9 0.867E+02 7 0.330E-01 * 0.512E-01 0.01329 7 0.330E-01 0.266E-01 0 9 0.437E+02 8 0.313E-01 * 0.246E-01 0.05310 8 0.313E-01 0.138E-01 0 9 0.222E+02 9 0.244E-01 * 0.983E-02 0.21583 9 0.244E-01 0.680E-02 0 9 0.114E+02 10 0.996E-03 * 0.203E-02 1.00000 10 0.996E-03 0.124E-02 0 9 0.620E+01 11 0.520E-04 * 0.572E-04 1.00000 11 0.520E-04 0.631E-04 0 9 0.677E+01 12 0.145E-06 * 0.167E-06 1.00000 12 0.145E-06 0.167E-06 0 9 0.680E+01 13 0.120E-11 * 0.124E-11 1.00000 Solution of nonlinear system of equations obtained within 13 iteration steps Achieved relative accuracy 0.124E-11 Subcondition ( 1, 9) 0.680E+01 Sensitivity ( 1, 9) 0.273E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 13 *** *** Corrector steps : 3 *** *** Rejected rk-1 st. : 4 *** *** Jacobian eval. : 13 *** *** Function eval. : 17 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.8562E-16 problem: Brown Almost Linear Function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 302 ( 0.4 percent) Integer Workspace declared as 1000 is used up to 62 ( 6.2 percent) N = 10 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 10 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.523E+01 0.167E+04 0 10 0.233E+02 0 0.138E+08 * 0.737E+11 0.01000 0 0.523E+01 * 0.167E+04 0.00010 0 Not accepted damping factor 0.00002 0 10 0 0.523E+01 0.140E+02 0 9 0.377E+01 1 0.521E+01 * 0.140E+02 0.00010 1 0.521E+01 0.163E+04 0 10 0.233E+02 1 0.521E+01 * 0.163E+04 0.00010 1 Not accepted damping factor 0.00002 0 10 1 0.521E+01 0.137E+02 0 9 0.377E+01 2 0.462E+01 * 0.136E+02 0.00419 2 0.462E+01 0.563E+03 0 10 0.217E+02 2 0.462E+01 * 0.563E+03 0.00010 2 Not accepted damping factor 0.00004 0 10 2 0.462E+01 0.529E+01 0 9 0.377E+01 3 0.364E+01 * 0.517E+01 0.01771 3 0.364E+01 0.120E+03 0 10 0.201E+02 4 0.364E+01 * 0.120E+03 0.00010 4 0.364E+01 0.243E+03 0 10 0.407E+02 5 0.364E+01 * 0.243E+03 0.00010 5 0.364E+01 0.298E+03 0 10 0.504E+02 5 0.364E+01 * 0.298E+03 0.00010 5 Not accepted damping factor 0.00004 0 10 5 0.364E+01 0.146E+01 0 9 0.377E+01 5 0.570E+03 * 0.221E+04 1.00000 6 0.364E+01 * 0.146E+01 0.00033 6 0.364E+01 0.297E+03 0 10 0.506E+02 6 0.363E+01 * 0.297E+03 0.00010 6 Not accepted damping factor 0.00004 0 10 6 0.364E+01 0.146E+01 0 9 0.377E+01 7 0.272E+01 * 0.135E+01 0.06059 7 0.272E+01 0.184E+03 0 10 0.115E+03 7 0.272E+01 * 0.184E+03 0.00010 7 Not accepted damping factor 0.00003 0 10 7 0.272E+01 0.560E+00 0 9 0.377E+01 8 0.114E+01 * 0.344E+00 0.26952 8 0.114E+01 0.198E+02 0 10 0.175E+03 9 0.114E+01 * 0.198E+02 0.00013 9 0.114E+01 0.517E+02 0 10 0.457E+03 9 0.114E+01 * 0.517E+02 0.00010 9 Not accepted damping factor 0.00003 0 10 9 0.114E+01 0.129E+00 0 9 0.377E+01 10 0.236E+00 * 0.334E-01 1.00000 10 0.236E+00 0.181E+00 0 10 0.833E+02 10 0.204E+00 * 0.182E+00 0.13225 11 0.221E+00 * 0.175E+00 0.06226 11 0.221E+00 0.771E+00 0 10 0.432E+03 12 0.220E+00 * 0.771E+00 0.00235 12 0.220E+00 0.825E+01 0 10 0.465E+04 12 0.220E+00 * 0.825E+01 0.00010 12 Not accepted damping factor 0.00002 0 10 12 0.220E+00 0.193E-01 0 9 0.377E+01 13 0.435E-02 * 0.418E-03 1.00000 13 0.435E-02 0.260E+01 0 10 0.381E+04 14 0.435E-02 * 0.260E+01 0.00010 14 0.435E-02 0.108E+01 0 10 0.158E+04 15 0.435E-02 * 0.108E+01 0.00041 15 0.435E-02 0.539E+00 0 10 0.791E+03 16 0.434E-02 * 0.538E+00 0.00165 16 0.434E-02 0.269E+00 0 10 0.396E+03 17 0.431E-02 * 0.266E+00 0.00663 17 0.431E-02 0.133E+00 0 10 0.198E+03 18 0.418E-02 * 0.128E+00 0.02680 18 0.418E-02 0.639E-01 0 10 0.988E+02 19 0.367E-02 * 0.532E-01 0.11170 19 0.367E-02 0.266E-01 0 10 0.495E+02 20 0.152E-02 * 0.488E-02 0.53756 20 0.152E-02 0.247E-02 0 10 0.249E+02 21 0.947E-05 * 0.104E-03 1.00000 21 0.947E-05 0.983E-04 0 10 0.232E+02 22 0.152E-07 * 0.158E-06 1.00000 22 0.152E-07 0.159E-06 0 10 0.233E+02 23 0.396E-13 * 0.413E-12 1.00000 Solution of nonlinear system of equations obtained within 23 iteration steps Achieved relative accuracy 0.413E-12 Subcondition ( 1, 10) 0.233E+02 Sensitivity ( 1, 10) 0.200E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 23 *** *** Corrector steps : 11 *** *** Rejected rk-1 st. : 8 *** *** Jacobian eval. : 23 *** *** Function eval. : 35 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1685E-14 problem: Discrete Boundary Function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 302 ( 0.4 percent) Integer Workspace declared as 1000 is used up to 62 ( 6.2 percent) N = 10 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 10 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.888E-02 0.651E-01 0 10 0.104E+02 1 0.879E-02 * 0.644E-01 0.01000 1 0.879E-02 0.644E-01 0 10 0.104E+02 2 0.758E-04 * 0.711E-03 1.00000 2 0.758E-04 0.696E-03 0 10 0.102E+02 3 0.945E-08 * 0.883E-07 1.00000 3 0.945E-08 0.884E-07 0 10 0.102E+02 4 0.156E-15 * 0.144E-14 1.00000 Solution of nonlinear system of equations obtained within 4 iteration steps Achieved relative accuracy 0.144E-14 Subcondition ( 1, 10) 0.102E+02 Sensitivity ( 1, 10) 0.122E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 4 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 4 *** *** Function eval. : 5 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.2481E-16 problem: Discrete Integral Function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 302 ( 0.4 percent) Integer Workspace declared as 1000 is used up to 62 ( 6.2 percent) N = 10 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 10 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.796E-01 0.651E-01 0 10 0.102E+01 1 0.788E-01 * 0.644E-01 0.01000 1 0.788E-01 0.644E-01 0 10 0.102E+01 2 0.886E-03 * 0.711E-03 1.00000 2 0.886E-03 0.696E-03 0 10 0.102E+01 3 0.113E-06 * 0.883E-07 1.00000 3 0.113E-06 0.884E-07 0 10 0.102E+01 4 0.186E-14 * 0.145E-14 1.00000 Solution of nonlinear system of equations obtained within 4 iteration steps Achieved relative accuracy 0.145E-14 Subcondition ( 1, 10) 0.102E+01 Sensitivity ( 1, 10) 0.101E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 4 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 4 *** *** Function eval. : 5 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1335E-16 problem: Trigonometric Function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 302 ( 0.4 percent) Integer Workspace declared as 1000 is used up to 62 ( 6.2 percent) N = 10 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 10 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.266E-01 0.162E+00 0 10 0.703E+01 1 0.263E-01 * 0.161E+00 0.01000 1 0.263E-01 0.141E+01 0 10 0.597E+02 2 0.263E-01 * 0.141E+01 0.00015 2 0.263E-01 0.376E+01 0 10 0.158E+03 2 0.263E-01 * 0.376E+01 0.00010 2 Not accepted damping factor 0.00004 0 10 2 0.263E-01 0.348E-01 0 9 0.218E+01 3 0.192E-01 * 0.305E-01 0.45151 3 0.192E-01 0.153E+01 0 10 0.652E+02 4 0.192E-01 * 0.153E+01 0.00020 4 0.192E-01 0.108E+01 0 10 0.464E+02 5 0.191E-01 * 0.108E+01 0.00096 5 0.191E-01 0.522E+00 0 10 0.236E+02 6 0.191E-01 * 0.519E+00 0.00384 6 0.191E-01 0.239E+00 0 10 0.119E+02 7 0.187E-01 * 0.233E+00 0.01519 7 0.187E-01 0.103E+00 0 10 0.590E+01 8 0.176E-01 * 0.944E-01 0.05413 8 0.176E-01 0.671E-01 0 10 0.271E+01 9 0.154E-01 * 0.591E-01 0.10992 9 0.154E-01 0.505E-01 0 10 0.241E+01 10 0.619E-02 * 0.138E-01 0.56850 10 0.619E-02 0.950E-02 0 10 0.170E+01 11 0.610E-03 * 0.738E-03 1.00000 11 0.610E-03 0.715E-03 0 10 0.178E+01 12 0.615E-05 * 0.135E-04 1.00000 12 0.615E-05 0.142E-04 0 10 0.183E+01 13 0.348E-08 * 0.989E-08 1.00000 13 0.348E-08 0.991E-08 0 10 0.183E+01 14 0.147E-14 * 0.451E-14 1.00000 Solution of nonlinear system of equations obtained within 14 iteration steps Achieved relative accuracy 0.451E-14 Subcondition ( 1, 10) 0.183E+01 Sensitivity ( 1, 10) 0.136E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 14 *** *** Corrector steps : 1 *** *** Rejected rk-1 st. : 1 *** *** Jacobian eval. : 14 *** *** Function eval. : 16 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1349E-14 problem: Variably Dimensioned Function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 302 ( 0.4 percent) Integer Workspace declared as 1000 is used up to 62 ( 6.2 percent) N = 10 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 10 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.708E+06 0.207E+00 0 10 0.219E+07 1 0.701E+06 * 0.205E+00 0.01000 1 0.701E+06 0.206E+00 0 10 0.218E+07 2 0.208E+06 * 0.611E-01 1.00000 2 0.208E+06 0.137E+00 0 10 0.968E+06 3 0.616E+05 * 0.407E-01 1.00000 3 0.616E+05 0.917E-01 0 10 0.430E+06 4 0.183E+05 * 0.272E-01 1.00000 4 0.183E+05 0.612E-01 0 10 0.191E+06 5 0.541E+04 * 0.181E-01 1.00000 5 0.541E+04 0.409E-01 0 10 0.848E+05 6 0.161E+04 * 0.121E-01 1.00000 6 0.161E+04 0.274E-01 0 10 0.376E+05 7 0.479E+03 * 0.815E-02 1.00000 7 0.479E+03 0.184E-01 0 10 0.166E+05 8 0.143E+03 * 0.552E-02 1.00000 8 0.143E+03 0.125E-01 0 10 0.732E+04 9 0.434E+02 * 0.380E-02 1.00000 9 0.434E+02 0.874E-02 0 10 0.318E+04 10 0.134E+02 * 0.271E-02 1.00000 10 0.134E+02 0.635E-02 0 10 0.136E+04 11 0.424E+01 * 0.200E-02 1.00000 11 0.424E+01 0.471E-02 0 10 0.577E+03 12 0.120E+01 * 0.133E-02 0.99733 12 0.120E+01 0.260E-02 0 10 0.295E+03 13 0.123E+00 * 0.266E-03 1.00000 13 0.123E+00 0.317E-03 0 10 0.247E+03 14 0.189E-03 * 0.489E-06 1.00000 14 0.189E-03 0.490E-06 0 10 0.247E+03 15 0.699E-12 * 0.181E-14 1.00000 Solution of nonlinear system of equations obtained within 15 iteration steps Achieved relative accuracy 0.181E-14 Subcondition ( 1, 10) 0.247E+03 Sensitivity ( 1, 10) 0.316E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 15 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 15 *** *** Function eval. : 16 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.0000E+00 problem: Broyden Tridiagonal Function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 302 ( 0.4 percent) Integer Workspace declared as 1000 is used up to 62 ( 6.2 percent) N = 10 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 10 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.145E+01 0.303E+00 0 10 0.121E+01 1 0.143E+01 * 0.300E+00 0.01000 1 0.143E+01 0.301E+00 0 10 0.122E+01 2 0.205E+00 * 0.431E-01 1.00000 2 0.205E+00 0.608E-01 0 10 0.133E+01 3 0.915E-02 * 0.274E-02 1.00000 3 0.915E-02 0.303E-02 0 10 0.137E+01 4 0.276E-04 * 0.927E-05 1.00000 4 0.276E-04 0.933E-05 0 10 0.138E+01 5 0.304E-09 * 0.102E-09 1.00000 5 0.304E-09 0.102E-09 0 10 0.138E+01 6 0.527E-15 * 0.889E-16 1.00000 Solution of nonlinear system of equations obtained within 6 iteration steps Achieved relative accuracy 0.889E-16 Subcondition ( 1, 10) 0.138E+01 Sensitivity ( 1, 10) 0.108E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 6 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 6 *** *** Function eval. : 7 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.3988E-15 problem: Broyden Banded Function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 302 ( 0.4 percent) Integer Workspace declared as 1000 is used up to 62 ( 6.2 percent) N = 10 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 10 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.600E+01 0.281E+00 0 10 0.102E+01 1 0.594E+01 * 0.278E+00 0.01000 1 0.594E+01 0.279E+00 0 10 0.102E+01 2 0.141E+01 * 0.668E-01 1.00000 2 0.141E+01 0.125E+00 0 10 0.102E+01 3 0.232E+00 * 0.210E-01 1.00000 3 0.232E+00 0.320E-01 0 10 0.101E+01 4 0.147E-01 * 0.214E-02 1.00000 4 0.147E-01 0.249E-02 0 10 0.101E+01 5 0.938E-04 * 0.166E-04 1.00000 5 0.938E-04 0.168E-04 0 10 0.101E+01 6 0.440E-08 * 0.808E-09 1.00000 6 0.440E-08 0.808E-09 0 10 0.101E+01 7 0.283E-15 * 0.386E-16 1.00000 Solution of nonlinear system of equations obtained within 7 iteration steps Achieved relative accuracy 0.386E-16 Subcondition ( 1, 10) 0.101E+01 Sensitivity ( 1, 10) 0.100E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 7 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 7 *** *** Function eval. : 8 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.2651E-15 problem: Chemical Equilibrium 1 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 94 ( 0.1 percent) Integer Workspace declared as 1000 is used up to 54 ( 5.4 percent) N = 2 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 2 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.354E+05 0.353E+05 0 2 0.200E+01 1 0.350E+05 * 0.350E+05 0.01000 1 0.350E+05 0.116E+03 0 2 0.383E+01 2 0.310E+05 * 0.103E+03 0.07334 2 0.310E+05 0.508E+01 0 2 0.285E+01 3 0.173E+05 * 0.300E+01 0.29948 3 0.173E+05 0.142E+01 0 2 0.180E+01 4 0.102E+05 * 0.468E+00 0.97042 4 0.102E+05 0.205E+00 0 2 0.129E+01 5 0.169E+03 * 0.356E-02 1.00000 5 0.169E+03 0.391E-02 0 2 0.230E+01 6 0.000E+00 * 0.000E+00 1.00000 6 0.000E+00 0.000E+00 0 2 0.200E+01 7 0.000E+00 * 0.000E+00 1.00000 Solution of nonlinear system of equations obtained within 7 iteration steps Achieved relative accuracy 0.000E+00 Subcondition ( 1, 2) 0.200E+01 Sensitivity ( 1, 2) 0.141E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 7 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 7 *** *** Function eval. : 8 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.0000E+00 problem: Chemical Equilibrium 2 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 182 ( 0.3 percent) Integer Workspace declared as 1000 is used up to 58 ( 5.8 percent) N = 6 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 6 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.225E+16 0.219E+02 0 6 0.232E+01 1 0.222E+16 * 0.217E+02 0.01000 1 0.222E+16 0.171E+02 0 6 0.247E+01 2 0.495E+15 * 0.823E-01 1.00000 2 0.495E+15 0.177E+00 0 6 0.562E+02 3 0.124E+15 * 0.443E-01 1.00000 3 0.124E+15 0.885E-01 0 6 0.110E+03 4 0.309E+14 * 0.221E-01 1.00000 4 0.309E+14 0.443E-01 0 6 0.110E+03 5 0.773E+13 * 0.111E-01 1.00000 5 0.773E+13 0.221E-01 0 6 0.110E+03 6 0.193E+13 * 0.553E-02 1.00000 6 0.193E+13 0.111E-01 0 6 0.110E+03 7 0.483E+12 * 0.277E-02 1.00000 7 0.483E+12 0.553E-02 0 6 0.110E+03 8 0.121E+12 * 0.138E-02 1.00000 8 0.121E+12 0.277E-02 0 6 0.110E+03 9 0.302E+11 * 0.692E-03 1.00000 9 0.302E+11 0.138E-02 0 6 0.110E+03 10 0.755E+10 * 0.346E-03 1.00000 10 0.755E+10 0.691E-03 0 6 0.110E+03 11 0.189E+10 * 0.172E-03 1.00000 11 0.189E+10 0.344E-03 0 6 0.110E+03 12 0.472E+09 * 0.855E-04 1.00000 12 0.472E+09 0.170E-03 0 6 0.111E+03 13 0.118E+09 * 0.414E-04 1.00000 13 0.118E+09 0.809E-04 0 6 0.113E+03 14 0.293E+08 * 0.185E-04 1.00000 14 0.293E+08 0.344E-04 0 6 0.120E+03 15 0.682E+07 * 0.698E-05 1.00000 15 0.682E+07 0.122E-04 0 6 0.134E+03 16 0.969E+06 * 0.183E-05 1.00000 16 0.969E+06 0.244E-05 0 6 0.141E+03 17 0.215E+05 * 0.592E-07 1.00000 17 0.215E+05 0.614E-07 0 6 0.141E+03 18 0.667E+01 * 0.201E-10 1.00000 Solution of nonlinear system of equations obtained within 18 iteration steps Achieved relative accuracy 0.201E-10 Subcondition ( 1, 6) 0.141E+03 Sensitivity ( 1, 6) 0.173E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 18 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 18 *** *** Function eval. : 19 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.3433E-02 problem: Chemical Equilibrium 3, Variante 1 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 302 ( 0.4 percent) Integer Workspace declared as 1000 is used up to 62 ( 6.2 percent) N = 10 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 10 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.137E+02 0.199E+01 0 10 0.374E+01 1 0.136E+02 * 0.197E+01 0.01000 1 0.136E+02 0.182E+01 0 10 0.374E+01 2 0.999E+01 * 0.122E+01 0.19268 2 0.999E+01 0.637E+00 0 10 0.366E+01 3 0.376E+01 * 0.307E+00 0.67397 3 0.376E+01 0.633E+00 0 10 0.335E+01 4 0.208E+01 * 0.347E+00 0.58766 4 0.208E+01 0.614E+00 0 10 0.356E+01 5 0.975E+00 * 0.275E+00 0.77705 5 0.975E+00 0.578E+00 0 10 0.434E+01 6 0.478E+00 * 0.265E+00 0.74471 6 0.478E+00 0.462E+00 0 10 0.608E+01 7 0.227E+00 * 0.201E+00 0.79137 7 0.227E+00 0.330E+00 0 10 0.748E+01 8 0.112E+00 * 0.144E+00 0.78519 8 0.112E+00 0.250E+00 0 10 0.105E+02 9 0.585E-01 * 0.109E+00 0.78438 9 0.585E-01 0.198E+00 0 10 0.126E+02 10 0.330E-01 * 0.871E-01 0.78143 10 0.330E-01 0.162E+00 0 10 0.132E+02 11 0.203E-01 * 0.736E-01 0.76378 11 0.203E-01 0.141E+00 0 10 0.143E+02 12 0.137E-01 * 0.675E-01 0.72577 12 0.137E-01 0.118E+00 0 10 0.157E+02 13 0.101E-01 * 0.572E-01 0.71612 13 0.101E-01 0.102E+00 0 10 0.176E+02 14 0.793E-02 * 0.500E-01 0.70601 14 0.793E-02 0.908E-01 0 10 0.195E+02 15 0.637E-02 * 0.465E-01 0.67940 15 0.637E-02 0.836E-01 0 10 0.211E+02 16 0.513E-02 * 0.438E-01 0.66188 16 0.513E-02 0.776E-01 0 10 0.220E+02 17 0.401E-02 * 0.411E-01 0.65283 17 0.401E-02 0.714E-01 0 10 0.218E+02 18 0.294E-02 * 0.374E-01 0.65925 18 0.294E-02 0.639E-01 0 10 0.221E+02 19 0.195E-02 * 0.316E-01 0.69723 19 0.195E-02 0.540E-01 0 10 0.240E+02 20 0.110E-02 * 0.234E-01 0.78206 20 0.110E-02 0.405E-01 0 10 0.253E+02 21 0.419E-03 * 0.120E-01 0.97427 21 0.419E-03 0.210E-01 0 10 0.262E+02 22 0.775E-04 * 0.371E-02 1.00000 22 0.775E-04 0.508E-02 0 10 0.267E+02 23 0.396E-05 * 0.259E-03 1.00000 23 0.396E-05 0.277E-03 0 10 0.268E+02 24 0.118E-07 * 0.823E-06 1.00000 24 0.118E-07 0.821E-06 0 10 0.268E+02 25 0.105E-12 * 0.731E-11 1.00000 Solution of nonlinear system of equations obtained within 25 iteration steps Achieved relative accuracy 0.731E-11 Subcondition ( 1, 10) 0.268E+02 Sensitivity ( 1, 10) 0.159E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 25 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 25 *** *** Function eval. : 26 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1382E-14 problem: Chemical Equilibrium 3, Variante 2 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 302 ( 0.4 percent) Integer Workspace declared as 1000 is used up to 62 ( 6.2 percent) N = 10 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 10 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.117E+02 0.626E+01 0 10 0.374E+01 1 0.116E+02 * 0.620E+01 0.01000 1 0.116E+02 0.569E+01 0 10 0.360E+01 2 0.194E+01 * 0.146E+01 0.85390 2 0.194E+01 0.434E+00 0 10 0.324E+01 3 0.522E-01 * 0.399E-01 1.00000 3 0.522E-01 0.700E-01 0 10 0.351E+01 4 0.515E-02 * 0.164E-01 1.00000 4 0.515E-02 0.352E-01 0 10 0.368E+01 5 0.123E-02 * 0.997E-02 1.00000 5 0.123E-02 0.220E-01 0 10 0.397E+01 6 0.443E-03 * 0.638E-02 1.00000 6 0.443E-03 0.133E-01 0 10 0.446E+01 7 0.170E-03 * 0.311E-02 1.00000 7 0.170E-03 0.526E-02 0 10 0.507E+01 8 0.248E-04 * 0.546E-03 1.00000 8 0.248E-04 0.672E-03 0 10 0.552E+01 9 0.370E-06 * 0.873E-05 1.00000 9 0.370E-06 0.896E-05 0 10 0.568E+01 10 0.626E-10 * 0.146E-08 1.00000 10 0.626E-10 0.146E-08 0 10 0.568E+01 11 0.901E-15 * 0.544E-16 1.00000 Solution of nonlinear system of equations obtained within 11 iteration steps Achieved relative accuracy 0.544E-16 Subcondition ( 1, 10) 0.568E+01 Sensitivity ( 1, 10) 0.142E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 11 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 11 *** *** Function eval. : 12 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.9222E-15 problem: SST pollution, 0 dim., sst1=360 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 134 ( 0.2 percent) Integer Workspace declared as 1000 is used up to 56 ( 5.6 percent) N = 4 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 4 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.193E+12 0.253E+01 0 4 0.660E+07 1 0.191E+12 * 0.250E+01 0.01000 1 0.191E+12 0.249E+01 0 4 0.647E+07 2 0.930E+11 * 0.183E+01 0.51221 2 0.930E+11 0.223E+01 0 4 0.437E+07 3 0.728E+11 * 0.185E+01 0.21754 3 0.728E+11 0.151E+01 0 4 0.162E+07 4 0.415E+11 * 0.110E+01 0.43036 4 0.415E+11 0.142E+01 0 4 0.107E+07 5 0.269E+11 * 0.108E+01 0.35145 5 0.269E+11 0.130E+01 0 4 0.550E+06 6 0.162E+11 * 0.960E+00 0.39914 6 0.162E+11 0.140E+01 0 4 0.336E+06 7 0.112E+11 * 0.110E+01 0.30732 7 0.112E+11 0.155E+01 0 4 0.192E+06 8 0.821E+10 * 0.126E+01 0.26656 8 0.821E+10 0.167E+01 0 4 0.126E+06 9 0.615E+10 * 0.138E+01 0.25114 9 0.615E+10 0.174E+01 0 4 0.965E+05 10 0.461E+10 * 0.143E+01 0.25014 10 0.461E+10 0.175E+01 0 4 0.750E+05 11 0.344E+10 * 0.143E+01 0.25378 11 0.344E+10 0.172E+01 0 4 0.570E+05 12 0.254E+10 * 0.140E+01 0.26155 12 0.254E+10 0.168E+01 0 4 0.434E+05 13 0.185E+10 * 0.135E+01 0.27157 13 0.185E+10 0.161E+01 0 4 0.351E+05 14 0.133E+10 * 0.129E+01 0.28432 14 0.133E+10 0.153E+01 0 4 0.352E+05 15 0.928E+09 * 0.121E+01 0.30058 15 0.928E+09 0.144E+01 0 4 0.463E+05 16 0.628E+09 * 0.111E+01 0.32442 16 0.628E+09 0.131E+01 0 4 0.702E+05 17 0.399E+09 * 0.966E+00 0.36719 17 0.399E+09 0.110E+01 0 4 0.111E+06 18 0.217E+09 * 0.734E+00 0.46390 18 0.217E+09 0.775E+00 0 4 0.183E+06 19 0.604E+08 * 0.342E+00 0.75857 19 0.604E+08 0.293E+00 0 4 0.334E+06 20 0.658E+07 * 0.226E-01 1.00000 20 0.658E+07 0.155E-01 0 4 0.421E+06 21 0.666E+04 * 0.114E-04 1.00000 21 0.666E+04 0.984E-05 0 4 0.438E+06 22 0.147E-01 * 0.402E-10 1.00000 Solution of nonlinear system of equations obtained within 22 iteration steps Achieved relative accuracy 0.402E-10 Subcondition ( 1, 4) 0.438E+06 Sensitivity ( 1, 4) 0.173E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 22 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 22 *** *** Function eval. : 23 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.6888E-07 problem: SST pollution, 0 dim., sst1=3250 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 134 ( 0.2 percent) Integer Workspace declared as 1000 is used up to 56 ( 5.6 percent) N = 4 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 4 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.193E+12 0.252E+01 0 4 0.660E+07 1 0.191E+12 * 0.250E+01 0.01000 1 0.191E+12 0.249E+01 0 4 0.647E+07 2 0.931E+11 * 0.183E+01 0.51183 2 0.931E+11 0.223E+01 0 4 0.437E+07 3 0.730E+11 * 0.185E+01 0.21609 3 0.730E+11 0.150E+01 0 4 0.162E+07 4 0.418E+11 * 0.110E+01 0.42725 4 0.418E+11 0.141E+01 0 4 0.107E+07 5 0.273E+11 * 0.107E+01 0.34658 5 0.273E+11 0.127E+01 0 4 0.554E+06 6 0.164E+11 * 0.938E+00 0.39844 6 0.164E+11 0.132E+01 0 4 0.341E+06 7 0.111E+11 * 0.103E+01 0.32243 7 0.111E+11 0.142E+01 0 4 0.196E+06 8 0.794E+10 * 0.113E+01 0.28703 8 0.794E+10 0.152E+01 0 4 0.126E+06 9 0.576E+10 * 0.122E+01 0.27379 9 0.576E+10 0.156E+01 0 4 0.882E+05 10 0.416E+10 * 0.126E+01 0.27758 10 0.416E+10 0.156E+01 0 4 0.665E+05 11 0.298E+10 * 0.125E+01 0.28502 11 0.298E+10 0.153E+01 0 4 0.485E+05 12 0.210E+10 * 0.121E+01 0.29630 12 0.210E+10 0.148E+01 0 4 0.350E+05 13 0.145E+10 * 0.116E+01 0.30837 13 0.145E+10 0.142E+01 0 4 0.267E+05 14 0.982E+09 * 0.110E+01 0.32317 14 0.982E+09 0.134E+01 0 4 0.250E+05 15 0.644E+09 * 0.102E+01 0.34469 15 0.644E+09 0.123E+01 0 4 0.317E+05 16 0.396E+09 * 0.895E+00 0.38673 16 0.396E+09 0.105E+01 0 4 0.475E+05 17 0.202E+09 * 0.675E+00 0.49103 17 0.202E+09 0.717E+00 0 4 0.774E+05 18 0.330E+08 * 0.256E+00 0.85476 18 0.330E+08 0.202E+00 0 4 0.148E+06 19 0.154E+07 * 0.328E-02 1.00000 19 0.154E+07 0.252E-02 0 4 0.173E+06 20 0.321E+03 * 0.347E-05 1.00000 20 0.321E+03 0.320E-05 0 4 0.166E+06 21 0.545E-03 * 0.882E-11 1.00000 Solution of nonlinear system of equations obtained within 21 iteration steps Achieved relative accuracy 0.882E-11 Subcondition ( 1, 4) 0.166E+06 Sensitivity ( 1, 4) 0.173E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 21 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 21 *** *** Function eval. : 22 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.6016E-07 problem: Distillation Column, Hydrocarbon-6 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 1309 ( 1.9 percent) Integer Workspace declared as 1000 is used up to 81 ( 8.1 percent) N = 29 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 29 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.491E+06 0.168E+00 0 29 0.106E+03 1 0.486E+06 * 0.167E+00 0.01000 1 0.486E+06 0.163E+00 0 29 0.106E+03 2 0.294E+06 * 0.964E-01 0.30806 2 0.294E+06 0.796E-01 0 29 0.102E+03 3 0.626E+05 * 0.176E-01 1.00000 3 0.626E+05 0.142E-01 0 29 0.112E+03 4 0.185E+04 * 0.530E-03 1.00000 4 0.185E+04 0.566E-03 0 29 0.139E+03 5 0.761E+00 * 0.735E-06 1.00000 5 0.761E+00 0.734E-06 0 29 0.139E+03 6 0.109E-05 * 0.888E-12 1.00000 Solution of nonlinear system of equations obtained within 6 iteration steps Achieved relative accuracy 0.888E-12 Subcondition ( 1, 29) 0.139E+03 Sensitivity ( 1, 29) 0.235E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 6 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 6 *** *** Function eval. : 7 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1304E-08 problem: Distillation Column, Hydrocarbon-20 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 11249 ( 16.1 percent) Integer Workspace declared as 1000 is used up to 151 ( 15.1 percent) N = 99 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 99 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.229E+06 0.234E+00 0 99 0.254E+03 1 0.226E+06 * 0.232E+00 0.01000 1 0.226E+06 0.229E+00 0 99 0.255E+03 2 0.108E+06 * 0.112E+00 0.43656 2 0.108E+06 0.114E+00 0 99 0.304E+03 3 0.251E+05 * 0.345E-01 1.00000 3 0.251E+05 0.714E-01 0 99 0.118E+04 4 0.120E+05 * 0.385E-01 1.00000 4 0.120E+05 0.784E-01 0 99 0.384E+04 5 0.623E+04 * 0.375E-01 0.83386 5 0.623E+04 0.741E-01 0 99 0.103E+05 6 0.580E+04 * 0.334E-01 0.85322 6 0.580E+04 0.576E-01 0 99 0.209E+05 7 0.373E+04 * 0.153E-01 1.00000 7 0.373E+04 0.144E-01 0 99 0.266E+05 8 0.296E+03 * 0.654E-03 1.00000 8 0.296E+03 0.673E-03 0 99 0.206E+05 9 0.563E+00 * 0.147E-05 1.00000 9 0.563E+00 0.148E-05 0 99 0.204E+05 10 0.241E-05 * 0.540E-11 1.00000 Solution of nonlinear system of equations obtained within 10 iteration steps Achieved relative accuracy 0.540E-11 Subcondition ( 1, 99) 0.204E+05 Sensitivity ( 1, 99) 0.237E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 10 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 10 *** *** Function eval. : 11 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.2593E-08 problem: Distillation Column, Hydrocarbon-40 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 42449 ( 60.6 percent) Integer Workspace declared as 1000 is used up to 251 ( 25.1 percent) N = 199 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 199 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.238E+06 0.298E+00 0 199 0.358E+03 1 0.235E+06 * 0.295E+00 0.01000 1 0.235E+06 0.291E+00 0 199 0.358E+03 2 0.131E+06 * 0.148E+00 0.40936 2 0.131E+06 0.152E+00 0 199 0.419E+03 3 0.224E+05 * 0.331E-01 1.00000 3 0.224E+05 0.497E-01 0 199 0.222E+04 4 0.725E+04 * 0.268E-01 1.00000 4 0.725E+04 0.550E-01 0 199 0.640E+04 5 0.404E+04 * 0.272E-01 0.82525 5 0.404E+04 0.554E-01 0 199 0.171E+05 6 0.349E+04 * 0.280E-01 0.74958 6 0.349E+04 0.547E-01 0 199 0.390E+05 7 0.340E+04 * 0.277E-01 0.75057 7 0.340E+04 0.544E-01 0 199 0.947E+05 8 0.330E+04 * 0.277E-01 0.74216 8 0.330E+04 0.542E-01 0 199 0.220E+06 9 0.325E+04 * 0.277E-01 0.73998 9 0.325E+04 0.540E-01 0 199 0.517E+06 10 0.322E+04 * 0.276E-01 0.73903 10 0.322E+04 0.537E-01 0 199 0.122E+07 11 0.322E+04 * 0.274E-01 0.74107 11 0.322E+04 0.533E-01 0 199 0.276E+07 12 0.324E+04 * 0.270E-01 0.74672 12 0.324E+04 0.525E-01 0 199 0.615E+07 13 0.320E+04 * 0.263E-01 0.75664 13 0.320E+04 0.498E-01 0 199 0.143E+08 14 0.274E+04 * 0.219E-01 0.83072 14 0.274E+04 0.310E-01 0 199 0.264E+08 15 0.156E+04 * 0.561E-02 1.00000 15 0.156E+04 0.559E-02 0 199 0.232E+08 16 0.698E+02 * 0.236E-03 1.00000 16 0.698E+02 0.240E-03 0 199 0.211E+08 17 0.102E+00 * 0.281E-06 1.00000 17 0.102E+00 0.281E-06 0 199 0.210E+08 18 0.138E-06 * 0.200E-10 1.00000 Solution of nonlinear system of equations obtained within 18 iteration steps Achieved relative accuracy 0.200E-10 Subcondition ( 1, 199) 0.210E+08 Sensitivity ( 1, 199) 0.237E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 18 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 18 *** *** Function eval. : 19 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.2482E-08 problem: Distillation Column, Methanol-8 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 1457 ( 2.1 percent) Integer Workspace declared as 1000 is used up to 83 ( 8.3 percent) N = 31 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 31 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.118E+07 0.385E-01 0 31 0.746E+02 1 0.117E+07 * 0.381E-01 0.01000 1 0.117E+07 0.381E-01 0 31 0.744E+02 2 0.157E+06 * 0.563E-02 1.00000 2 0.157E+06 0.457E-02 0 31 0.554E+02 3 0.380E+04 * 0.910E-04 1.00000 3 0.380E+04 0.964E-04 0 31 0.556E+02 4 0.229E+01 * 0.634E-07 1.00000 4 0.229E+01 0.637E-07 0 31 0.555E+02 5 0.834E-06 * 0.314E-13 1.00000 Solution of nonlinear system of equations obtained within 5 iteration steps Achieved relative accuracy 0.314E-13 Subcondition ( 1, 31) 0.555E+02 Sensitivity ( 1, 31) 0.250E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 5 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 5 *** *** Function eval. : 6 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.4434E-08 problem: Semiconductor boundary condition N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 182 ( 0.3 percent) Integer Workspace declared as 1000 is used up to 58 ( 5.8 percent) N = 6 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 6 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.473E+07 0.612E+05 0 6 0.137E+01 0 FCN could not be evaluated 0.01000 0 6 0 FCN could not be evaluated 0.00500 0 6 0 FCN could not be evaluated 0.00250 0 6 0 FCN could not be evaluated 0.00125 0 6 0 FCN could not be evaluated 0.00063 0 6 0 FCN could not be evaluated 0.00031 0 6 0 FCN could not be evaluated 0.00016 0 6 0 FCN could not be evaluated 0.00010 0 6 Newton method fails to converge Subcondition ( 1, 6) 0.137E+01 Sensitivity ( 1, 6) 0.112E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 1 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 1 *** *** Function eval. : 9 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.4440E-12 problem: Exponentional/Sine function N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 94 ( 0.1 percent) Integer Workspace declared as 1000 is used up to 54 ( 5.4 percent) N = 2 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 2 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.193E+01 0.443E+03 0 2 0.164E+03 0 0.301E+18 * 0.565E+19 0.01000 1 0.193E+01 * 0.443E+03 0.00010 1 0.193E+01 0.445E+02 0 2 0.175E+02 2 0.193E+01 * 0.444E+02 0.00111 2 0.193E+01 0.200E+02 0 2 0.924E+01 3 0.194E+01 * 0.198E+02 0.00447 3 0.194E+01 0.758E+01 0 2 0.528E+01 4 0.192E+01 * 0.732E+01 0.01893 4 0.192E+01 0.223E+01 0 2 0.348E+01 5 0.177E+01 * 0.185E+01 0.09090 5 0.177E+01 0.545E+00 0 2 0.266E+01 6 0.103E+01 * 0.125E+00 0.50993 6 0.103E+01 0.865E-01 0 2 0.200E+01 7 0.174E+00 * 0.140E-01 1.00000 7 0.174E+00 0.219E-01 0 2 0.178E+01 8 0.854E-02 * 0.121E-02 1.00000 8 0.854E-02 0.142E-02 0 2 0.165E+01 9 0.258E-04 * 0.460E-05 1.00000 9 0.258E-04 0.466E-05 0 2 0.162E+01 10 0.250E-09 * 0.460E-10 1.00000 Solution of nonlinear system of equations obtained within 10 iteration steps Achieved relative accuracy 0.460E-10 Subcondition ( 1, 2) 0.162E+01 Sensitivity ( 1, 2) 0.141E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 10 *** *** Corrector steps : 1 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 10 *** *** Function eval. : 12 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.5341E-14 problem: Combustion of Propane - Full formulation N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 337 ( 0.5 percent) Integer Workspace declared as 1000 is used up to 63 ( 6.3 percent) N = 11 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 11 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.120E+23 0.220E+02 0 11 0.670E+15 0 FCN could not be evaluated 0.01000 0 11 0 FCN could not be evaluated 0.00500 0 11 0 FCN could not be evaluated 0.00250 0 11 0 FCN could not be evaluated 0.00125 0 11 0 FCN could not be evaluated 0.00063 0 11 0 FCN could not be evaluated 0.00031 0 11 0 FCN could not be evaluated 0.00016 0 11 0 FCN could not be evaluated 0.00010 0 11 Newton method fails to converge Subcondition ( 1, 11) 0.670E+15 Sensitivity ( 1, 11) 0.245E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 1 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 1 *** *** Function eval. : 9 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.6839E-12 problem: Combustion of Propane - Reduced formulation N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 157 ( 0.2 percent) Integer Workspace declared as 1000 is used up to 57 ( 5.7 percent) N = 5 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 5 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.804E+00 0.153E+02 0 5 0.319E+04 1 0.795E+00 * 0.151E+02 0.01000 1 0.795E+00 0.108E+02 0 5 0.413E+04 2 0.757E+00 * 0.103E+02 0.04779 2 0.757E+00 0.114E+02 0 5 0.987E+04 3 0.403E+00 * 0.785E+01 0.43508 3 0.403E+00 0.169E+01 0 5 0.260E+05 4 0.109E+00 * 0.150E+00 0.82612 4 0.109E+00 0.138E-01 0 5 0.272E+05 5 0.295E-01 * 0.731E-02 1.00000 5 0.295E-01 0.344E-02 0 5 0.172E+05 6 0.106E-02 * 0.160E-03 1.00000 6 0.106E-02 0.173E-03 0 5 0.176E+05 7 0.155E-05 * 0.287E-06 1.00000 7 0.155E-05 0.287E-06 0 5 0.176E+05 8 0.326E-11 * 0.648E-12 1.00000 Solution of nonlinear system of equations obtained within 8 iteration steps Achieved relative accuracy 0.648E-12 Subcondition ( 1, 5) 0.176E+05 Sensitivity ( 1, 5) 0.173E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 8 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 8 *** *** Function eval. : 9 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.3565E-16 problem: Intersection of an Ellipsoid with a Hyperboloid N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 209 ( 0.3 percent) Integer Workspace declared as 1000 is used up to 59 ( 5.9 percent) N = 7 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 7 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.471E+01 0.144E+01 0 7 0.128E+02 1 0.466E+01 * 0.143E+01 0.01000 1 0.466E+01 0.139E+01 0 7 0.126E+02 2 0.347E+00 * 0.689E-01 0.63516 2 0.347E+00 0.109E+00 0 7 0.227E+02 3 0.169E+00 * 0.729E-01 1.00000 3 0.169E+00 0.396E-01 0 7 0.102E+02 4 0.226E-01 * 0.113E-02 1.00000 4 0.226E-01 0.115E-02 0 7 0.132E+02 5 0.241E-04 * 0.125E-05 1.00000 5 0.241E-04 0.128E-05 0 7 0.125E+02 6 0.288E-10 * 0.152E-11 1.00000 Solution of nonlinear system of equations obtained within 6 iteration steps Achieved relative accuracy 0.152E-11 Subcondition ( 1, 7) 0.125E+02 Sensitivity ( 1, 7) 0.174E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 6 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 6 *** *** Function eval. : 7 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1056E-14 problem: Esterification Reaction N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 269 ( 0.4 percent) Integer Workspace declared as 1000 is used up to 61 ( 6.1 percent) N = 9 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 9 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.458E+07 0.250E+01 0 9 0.124E+04 1 0.453E+07 * 0.248E+01 0.01000 1 0.453E+07 0.256E+01 0 9 0.128E+04 2 0.113E+07 * 0.913E+00 1.00000 2 0.113E+07 0.158E+01 0 9 0.353E+03 3 0.560E+06 * 0.974E+00 0.59395 3 0.560E+06 0.358E+00 0 9 0.790E+02 4 0.140E+06 * 0.976E-01 1.00000 4 0.140E+06 0.262E+00 0 9 0.696E+02 5 0.350E+05 * 0.747E-01 1.00000 5 0.350E+05 0.250E+00 0 9 0.490E+02 6 0.875E+04 * 0.747E-01 1.00000 6 0.875E+04 0.270E+00 0 9 0.418E+02 7 0.219E+04 * 0.906E-01 1.00000 7 0.219E+04 0.372E+00 0 9 0.341E+02 8 0.844E+03 * 0.193E+00 0.75926 8 0.844E+03 0.111E+01 0 9 0.746E+02 9 0.721E+03 * 0.978E+00 0.15329 9 0.721E+03 0.452E+01 0 9 0.230E+03 10 0.701E+03 * 0.440E+01 0.02846 10 0.701E+03 0.222E+02 0 9 0.870E+03 11 0.699E+03 * 0.221E+02 0.00292 11 0.699E+03 0.169E+03 0 9 0.574E+04 12 0.699E+03 * 0.169E+03 0.00010 12 0.699E+03 0.198E+04 0 9 0.635E+05 12 0.699E+03 * 0.200E+04 0.00010 12 Not accepted damping factor 0.00000 0 9 12 0.699E+03 0.323E+00 0 8 0.240E+02 13 0.200E+03 * 0.705E-01 1.00000 13 0.200E+03 0.318E+02 0 9 0.798E+03 14 0.200E+03 * 0.318E+02 0.00010 14 0.200E+03 0.332E+02 0 9 0.776E+03 15 0.199E+03 * 0.332E+02 0.00401 15 0.199E+03 0.337E+03 0 9 0.859E+04 16 0.199E+03 * 0.337E+03 0.00010 16 0.199E+03 0.125E+03 0 9 0.339E+04 16 0.199E+03 * 0.125E+03 0.00018 16 0.199E+03 * 0.125E+03 0.00010 16 Not accepted damping factor 0.00003 0 9 16 0.199E+03 0.366E+00 0 8 0.524E+02 17 0.126E+03 * 0.170E-01 1.00000 17 0.126E+03 0.791E+03 0 9 0.234E+05 17 0.127E+03 * 0.792E+03 0.00010 17 Not accepted damping factor 0.00000 0 9 17 0.126E+03 0.259E+00 0 8 0.527E+02 18 0.121E+03 * 0.178E+00 0.30842 18 0.121E+03 0.111E+04 0 9 0.270E+05 18 0.122E+03 * 0.111E+04 0.00010 18 Not accepted damping factor 0.00000 0 9 18 0.121E+03 0.172E+00 0 8 0.132E+03 19 0.110E+03 * 0.202E-01 1.00000 19 0.110E+03 0.292E+04 0 9 0.638E+05 19 0.113E+03 * 0.294E+04 0.00010 19 Not accepted damping factor 0.00000 0 9 19 0.110E+03 0.126E-01 0 8 0.133E+03 20 0.108E+03 * 0.708E-03 1.00000 20 0.108E+03 0.598E+03 0 9 0.171E+05 21 0.108E+03 * 0.598E+03 0.00010 21 0.108E+03 0.686E+02 0 9 0.189E+04 21 0.108E+03 * 0.686E+02 0.00081 22 0.108E+03 * 0.686E+02 0.00038 22 0.108E+03 0.129E+03 0 9 0.347E+04 22 0.108E+03 * 0.129E+03 0.00015 22 0.108E+03 * 0.129E+03 0.00010 22 Not accepted damping factor 0.00004 0 9 22 0.108E+03 0.598E-02 0 8 0.895E+02 23 0.108E+03 * 0.114E-03 1.00000 23 0.108E+03 0.139E+03 0 9 0.380E+04 23 0.108E+03 * 0.139E+03 0.00010 23 Not accepted damping factor 0.00003 0 9 23 0.108E+03 0.184E-02 0 8 0.916E+02 24 0.108E+03 * 0.150E-02 0.18726 24 0.108E+03 0.139E+03 0 9 0.379E+04 24 0.108E+03 * 0.139E+03 0.00010 24 Not accepted damping factor 0.00003 0 9 24 0.108E+03 0.156E-02 0 8 0.916E+02 25 0.108E+03 * 0.239E-04 1.00000 25 0.108E+03 0.137E+03 0 9 0.374E+04 25 0.108E+03 * 0.137E+03 0.00010 25 Not accepted damping factor 0.00003 0 9 25 0.108E+03 0.118E-03 0 8 0.916E+02 26 0.108E+03 * 0.987E-06 1.00000 26 0.108E+03 0.137E+03 0 9 0.375E+04 26 0.108E+03 * 0.137E+03 0.00010 26 Not accepted damping factor 0.00003 0 9 26 0.108E+03 0.508E-04 0 8 0.916E+02 27 0.108E+03 * 0.486E-04 0.04443 27 0.108E+03 0.137E+03 0 9 0.375E+04 27 0.108E+03 * 0.137E+03 0.00010 27 Not accepted damping factor 0.00003 0 9 27 0.108E+03 0.512E-04 0 8 0.916E+02 28 0.108E+03 * 0.140E-04 0.73338 28 0.108E+03 0.137E+03 0 9 0.375E+04 28 0.108E+03 * 0.137E+03 0.00010 28 Not accepted damping factor 0.00003 0 9 28 0.108E+03 0.183E-04 0 8 0.916E+02 29 0.108E+03 * 0.188E-06 1.00000 29 0.108E+03 0.137E+03 0 9 0.375E+04 29 0.108E+03 * 0.137E+03 0.00010 29 Not accepted damping factor 0.00003 0 9 29 0.108E+03 0.397E-05 0 8 0.916E+02 30 0.108E+03 * 0.308E-05 0.22516 30 0.108E+03 0.137E+03 0 9 0.375E+04 30 0.108E+03 * 0.137E+03 0.00010 30 Not accepted damping factor 0.00003 0 9 30 0.108E+03 0.348E-05 0 8 0.916E+02 31 0.108E+03 * 0.295E-07 1.00000 31 0.108E+03 0.137E+03 0 9 0.375E+04 31 0.108E+03 * 0.137E+03 0.00010 31 Not accepted damping factor 0.00003 0 9 31 0.108E+03 0.849E-06 0 8 0.916E+02 32 0.108E+03 * 0.727E-06 0.14524 32 0.108E+03 0.137E+03 0 9 0.375E+04 32 0.108E+03 * 0.137E+03 0.00010 32 Not accepted damping factor 0.00003 0 9 32 0.108E+03 0.796E-06 0 8 0.916E+02 33 0.108E+03 * 0.680E-08 1.00000 33 0.108E+03 0.137E+03 0 9 0.375E+04 33 0.108E+03 * 0.137E+03 0.00010 33 Not accepted damping factor 0.00003 0 9 33 0.108E+03 0.195E-06 0 8 0.916E+02 34 0.108E+03 * 0.167E-06 0.14496 34 0.108E+03 0.137E+03 0 9 0.375E+04 34 0.108E+03 * 0.137E+03 0.00010 34 Not accepted damping factor 0.00003 0 9 34 0.108E+03 0.183E-06 0 8 0.916E+02 35 0.108E+03 * 0.156E-08 1.00000 35 0.108E+03 0.137E+03 0 9 0.375E+04 35 0.108E+03 * 0.137E+03 0.00010 35 Not accepted damping factor 0.00003 0 9 35 0.108E+03 0.450E-07 0 8 0.916E+02 36 0.108E+03 * 0.385E-07 0.14439 36 0.108E+03 0.137E+03 0 9 0.375E+04 36 0.108E+03 * 0.137E+03 0.00010 36 Not accepted damping factor 0.00003 0 9 36 0.108E+03 0.422E-07 0 8 0.916E+02 37 0.108E+03 * 0.360E-09 1.00000 37 0.108E+03 0.137E+03 0 9 0.375E+04 37 0.108E+03 * 0.137E+03 0.00010 37 Not accepted damping factor 0.00003 0 9 37 0.108E+03 0.104E-07 0 8 0.916E+02 38 0.108E+03 * 0.887E-08 0.14463 38 0.108E+03 0.137E+03 0 9 0.375E+04 38 0.108E+03 * 0.137E+03 0.00010 38 Not accepted damping factor 0.00003 0 9 38 0.108E+03 0.972E-08 0 8 0.916E+02 Iteration terminates at stationary point Subcondition ( 1, 8) 0.916E+02 Sensitivity ( 1, 8) 0.240E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 39 *** *** Corrector steps : 25 *** *** Rejected rk-1 st. : 22 *** *** Jacobian eval. : 39 *** *** Function eval. : 65 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1076E+03 problem: Flow in a Driven Cavity N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 11462 ( 16.4 percent) Integer Workspace declared as 1000 is used up to 152 ( 15.2 percent) N = 100 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 100 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.656E-01 0.255E-01 0 100 0.714E+02 1 0.650E-01 * 0.253E-01 0.01000 1 0.650E-01 0.253E-01 0 100 0.706E+02 2 0.153E-01 * 0.249E-02 1.00000 2 0.153E-01 0.553E-02 0 100 0.569E+02 3 0.189E-02 * 0.952E-03 1.00000 3 0.189E-02 0.834E-03 0 100 0.676E+02 4 0.892E-04 * 0.486E-04 1.00000 4 0.892E-04 0.471E-04 0 100 0.446E+02 5 0.192E-06 * 0.859E-07 1.00000 5 0.192E-06 0.857E-07 0 100 0.446E+02 6 0.703E-12 * 0.323E-12 1.00000 Solution of nonlinear system of equations obtained within 6 iteration steps Achieved relative accuracy 0.323E-12 Subcondition ( 1, 100) 0.446E+02 Sensitivity ( 1, 100) 0.144E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 6 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 6 *** *** Function eval. : 7 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.3109E-16 problem: Flow in a Channel N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 7582 ( 10.8 percent) Integer Workspace declared as 1000 is used up to 132 ( 13.2 percent) N = 80 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 80 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.454E+03 0.664E+03 0 80 0.508E+06 1 0.450E+03 * 0.658E+03 0.01000 1 0.450E+03 0.815E+02 0 80 0.465E+06 2 0.393E+03 * 0.724E+02 0.12333 2 0.393E+03 0.174E+02 0 80 0.393E+06 3 0.385E+03 * 0.171E+02 0.01987 3 0.385E+03 0.133E+02 0 80 0.370E+06 4 0.337E+03 * 0.123E+02 0.12365 4 0.337E+03 0.487E+01 0 80 0.330E+06 5 0.291E+03 * 0.432E+01 0.13571 5 0.291E+03 0.229E+01 0 80 0.294E+06 6 0.173E+03 * 0.159E+01 0.39694 6 0.173E+03 0.972E+00 0 80 0.208E+06 7 0.465E+02 * 0.374E+00 0.73563 7 0.465E+02 0.334E+00 0 80 0.140E+06 8 0.131E+01 * 0.111E-01 1.00000 8 0.131E+01 0.938E-02 0 80 0.117E+06 9 0.221E-03 * 0.456E-05 1.00000 9 0.221E-03 0.367E-05 0 80 0.117E+06 10 0.552E-11 * 0.172E-11 1.00000 Solution of nonlinear system of equations obtained within 10 iteration steps Achieved relative accuracy 0.172E-11 Subcondition ( 1, 80) 0.117E+06 Sensitivity ( 1, 80) 0.245E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 10 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 10 *** *** Function eval. : 11 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.9221E-13 problem: Gupta Problem N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 374 ( 0.5 percent) Integer Workspace declared as 1000 is used up to 64 ( 6.4 percent) N = 12 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 12 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.724E+03 0.217E+01 0 12 0.271E+02 1 0.717E+03 * 0.215E+01 0.01000 1 0.717E+03 0.210E+01 0 12 0.277E+02 1 FCN could not be evaluated 0.98393 0 12 1 FCN could not be evaluated 0.49196 0 12 1 FCN could not be evaluated 0.24598 0 12 2 0.629E+03 * 0.185E+01 0.12299 2 0.629E+03 0.139E+01 0 12 0.115E+03 2 FCN could not be evaluated 1.00000 0 12 3 0.315E+03 * 0.878E+00 0.50000 3 0.315E+03 0.563E+00 0 12 0.192E+04 4 0.315E+02 * 0.121E+00 0.90000 4 0.315E+02 0.789E-01 0 12 0.471E+03 5 0.671E+00 * 0.282E-01 1.00000 5 0.671E+00 0.298E-01 0 12 0.117E+04 6 0.374E-01 * 0.870E-05 1.00000 6 0.374E-01 0.871E-05 0 12 0.938E+03 7 0.180E-03 * 0.176E-07 1.00000 7 0.180E-03 0.177E-07 0 12 0.975E+03 8 0.420E-08 * 0.414E-12 1.00000 Solution of nonlinear system of equations obtained within 8 iteration steps Achieved relative accuracy 0.414E-12 Subcondition ( 1, 12) 0.975E+03 Sensitivity ( 1, 12) 0.173E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 8 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 8 *** *** Function eval. : 13 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1956E-12 problem: Human Heart Dipole N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 238 ( 0.3 percent) Integer Workspace declared as 1000 is used up to 60 ( 6.0 percent) N = 8 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 8 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.154E+00 0.115E+01 0 8 0.288E+01 1 0.153E+00 * 0.114E+01 0.01000 1 0.153E+00 0.114E+01 0 8 0.288E+01 2 0.100E+00 * 0.701E+00 0.26769 2 0.100E+00 0.119E+01 0 8 0.108E+02 3 0.223E+00 * 0.116E+01 0.22464 3 0.223E+00 0.441E+01 0 8 0.111E+03 4 0.219E+00 * 0.433E+01 0.01352 4 0.219E+00 0.293E+01 0 8 0.700E+02 5 0.220E+00 * 0.269E+01 0.05996 5 0.220E+00 0.121E+01 0 8 0.379E+02 6 0.372E+00 * 0.813E+00 0.21389 6 0.372E+00 0.315E+00 0 8 0.257E+02 7 0.316E+00 * 0.136E+00 0.95796 7 0.316E+00 0.567E+00 0 8 0.312E+02 8 0.292E+00 * 0.481E+00 0.16301 8 0.292E+00 0.589E+00 0 8 0.395E+02 9 0.380E+00 * 0.365E+00 0.40921 9 0.380E+00 0.392E+00 0 8 0.354E+02 10 0.500E+00 * 0.373E+00 1.00000 10 0.500E+00 0.226E+00 0 8 0.166E+02 11 0.305E+00 * 0.124E+00 1.00000 11 0.305E+00 0.524E+00 0 8 0.236E+02 12 0.232E+00 * 0.421E+00 0.25096 12 0.232E+00 0.659E+00 0 8 0.215E+02 13 0.145E+00 * 0.548E+00 0.33324 13 0.145E+00 0.170E+01 0 8 0.254E+02 14 0.145E+00 * 0.162E+01 0.06613 14 0.145E+00 0.351E+01 0 8 0.316E+02 15 0.147E+00 * 0.344E+01 0.02314 15 0.147E+00 0.425E+01 0 8 0.379E+02 16 0.132E+00 * 0.413E+01 0.02339 16 0.132E+00 0.315E+01 0 8 0.465E+02 17 0.107E+00 * 0.297E+01 0.04669 17 0.107E+00 0.212E+01 0 8 0.839E+02 17 0.284E+00 * 0.226E+01 0.10170 18 0.111E+00 * 0.207E+01 0.02859 18 0.111E+00 0.190E+01 0 8 0.125E+03 18 0.284E+00 * 0.212E+01 0.11131 19 0.113E+00 * 0.186E+01 0.02676 19 0.113E+00 0.182E+01 0 8 0.185E+03 19 0.271E+00 * 0.206E+01 0.11674 20 0.114E+00 * 0.178E+01 0.02485 20 0.114E+00 0.178E+01 0 8 0.265E+03 20 0.206E+00 * 0.190E+01 0.10416 21 0.114E+00 * 0.174E+01 0.02551 21 0.114E+00 0.184E+01 0 8 0.382E+03 21 0.153E+00 * 0.185E+01 0.08470 22 0.115E+00 * 0.179E+01 0.02876 22 0.115E+00 0.206E+01 0 8 0.566E+03 23 0.128E+00 * 0.201E+01 0.06739 23 0.128E+00 0.366E+01 0 8 0.128E+04 24 0.125E+00 * 0.355E+01 0.02944 24 0.125E+00 0.350E+01 0 8 0.137E+04 24 0.393E+01 * 0.528E+02 0.55810 25 0.123E+00 * 0.346E+01 0.01004 25 0.123E+00 0.346E+01 0 8 0.140E+04 25 0.122E+02 * 0.189E+03 0.80163 26 0.123E+00 * 0.344E+01 0.00586 26 0.123E+00 0.343E+01 0 8 0.141E+04 26 0.148E+02 * 0.234E+03 0.86099 27 0.122E+00 * 0.341E+01 0.00543 27 0.122E+00 0.341E+01 0 8 0.142E+04 27 0.147E+02 * 0.233E+03 0.87292 28 0.121E+00 * 0.339E+01 0.00556 28 0.121E+00 0.338E+01 0 8 0.144E+04 28 0.140E+02 * 0.222E+03 0.87461 29 0.121E+00 * 0.336E+01 0.00581 29 0.121E+00 0.336E+01 0 8 0.145E+04 29 0.131E+02 * 0.207E+03 0.87090 30 0.120E+00 * 0.333E+01 0.00615 30 0.120E+00 0.333E+01 0 8 0.146E+04 30 0.119E+02 * 0.187E+03 0.86217 31 0.119E+00 * 0.330E+01 0.00659 31 0.119E+00 0.329E+01 0 8 0.148E+04 31 0.105E+02 * 0.165E+03 0.84830 32 0.118E+00 * 0.327E+01 0.00716 32 0.118E+00 0.325E+01 0 8 0.150E+04 32 0.910E+01 * 0.141E+03 0.82912 33 0.117E+00 * 0.323E+01 0.00790 33 0.117E+00 0.321E+01 0 8 0.153E+04 33 0.762E+01 * 0.116E+03 0.80457 34 0.116E+00 * 0.318E+01 0.00887 34 0.116E+00 0.314E+01 0 8 0.156E+04 34 0.611E+01 * 0.910E+02 0.77216 35 0.115E+00 * 0.311E+01 0.01020 35 0.115E+00 0.283E+01 0 8 0.148E+04 35 0.411E+01 * 0.543E+02 0.70530 36 0.114E+00 * 0.280E+01 0.01279 36 0.114E+00 0.252E+01 0 8 0.142E+04 36 0.262E+01 * 0.300E+02 0.63689 37 0.112E+00 * 0.248E+01 0.01657 37 0.112E+00 0.220E+01 0 8 0.135E+04 37 0.161E+01 * 0.154E+02 0.57220 38 0.109E+00 * 0.215E+01 0.02204 38 0.109E+00 0.185E+01 0 8 0.128E+04 38 0.954E+00 * 0.726E+01 0.51510 39 0.105E+00 * 0.179E+01 0.03013 39 0.105E+00 0.150E+01 0 8 0.120E+04 39 0.561E+00 * 0.315E+01 0.47144 40 0.100E+00 * 0.143E+01 0.04225 40 0.100E+00 0.115E+01 0 8 0.110E+04 40 0.343E+00 * 0.130E+01 0.45074 41 0.925E-01 * 0.107E+01 0.06075 41 0.925E-01 0.831E+00 0 8 0.989E+03 42 0.239E+00 * 0.590E+00 0.46992 42 0.239E+00 0.142E+00 0 8 0.692E+03 43 0.101E+00 * 0.611E-01 1.00000 43 0.101E+00 0.188E+00 0 8 0.196E+04 44 0.158E-01 * 0.491E-01 1.00000 44 0.158E-01 0.757E-01 0 8 0.185E+04 45 0.207E-02 * 0.274E-02 1.00000 45 0.207E-02 0.324E-02 0 8 0.174E+04 46 0.190E-04 * 0.141E-04 1.00000 46 0.190E-04 0.146E-04 0 8 0.174E+04 47 0.961E-09 * 0.209E-08 1.00000 47 0.961E-09 0.210E-08 0 8 0.174E+04 48 0.226E-16 * 0.188E-17 1.00000 Solution of nonlinear system of equations obtained within 48 iteration steps Achieved relative accuracy 0.188E-17 Subcondition ( 1, 8) 0.174E+04 Sensitivity ( 1, 8) 0.200E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 48 *** *** Corrector steps : 22 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 48 *** *** Function eval. : 71 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.7666E-19 problem: Incompressible Elastic Rods N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 7238 ( 10.3 percent) Integer Workspace declared as 1000 is used up to 130 ( 13.0 percent) N = 78 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 78 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.103E+00 0.346E+00 0 77 0.767E+03 1 0.102E+00 * 0.343E+00 0.01000 1 0.102E+00 0.544E+07 0 78 0.661E+09 2 0.617E+02 * 0.535E+07 0.00010 2 0.617E+02 0.546E+03 0 78 0.749E+07 3 0.608E+02 * 0.546E+03 0.00120 3 0.608E+02 0.208E+05 0 78 0.202E+09 3 0.608E+02 * 0.208E+05 0.00010 3 Not accepted damping factor 0.00002 0 78 3 0.608E+02 0.504E+02 0 77 0.282E+07 3 0.427E+03 * 0.853E+02 0.03805 4 0.605E+02 * 0.503E+02 0.00086 4 0.605E+02 0.802E+03 0 78 0.809E+07 5 0.605E+02 * 0.802E+03 0.00010 5 0.605E+02 0.711E+03 0 78 0.839E+07 6 0.604E+02 * 0.710E+03 0.00064 6 0.604E+02 0.274E+03 0 78 0.678E+07 7 0.586E+02 * 0.273E+03 0.00276 7 0.586E+02 0.114E+04 0 78 0.112E+08 8 0.586E+02 * 0.114E+04 0.00010 8 0.586E+02 0.130E+04 0 78 0.124E+08 9 0.586E+02 * 0.130E+04 0.00038 9 0.586E+02 0.188E+04 0 78 0.101E+08 10 0.586E+02 * 0.188E+04 0.00010 10 0.586E+02 0.320E+04 0 78 0.161E+08 11 0.585E+02 * 0.320E+04 0.00014 11 0.585E+02 0.402E+04 0 78 0.147E+08 12 0.585E+02 * 0.402E+04 0.00010 12 0.585E+02 0.413E+04 0 78 0.578E+07 13 0.585E+02 * 0.413E+04 0.00010 13 0.585E+02 0.873E+04 0 78 0.120E+08 14 0.585E+02 * 0.873E+04 0.00010 14 0.585E+02 0.217E+05 0 78 0.721E+07 15 0.585E+02 * 0.217E+05 0.00010 15 0.585E+02 0.151E+04 0 78 0.476E+06 16 0.585E+02 * 0.151E+04 0.00062 16 0.585E+02 0.368E+03 0 78 0.358E+06 17 0.583E+02 * 0.366E+03 0.00250 17 0.583E+02 0.977E+02 0 78 0.240E+06 18 0.578E+02 * 0.962E+02 0.01003 18 0.578E+02 0.254E+02 0 78 0.136E+06 19 0.552E+02 * 0.239E+02 0.03997 19 0.552E+02 0.713E+01 0 78 0.733E+05 20 0.427E+02 * 0.595E+01 0.14280 20 0.427E+02 0.565E+01 0 78 0.148E+06 21 0.389E+02 * 0.532E+01 0.06561 21 0.389E+02 0.694E+01 0 78 0.195E+06 22 0.257E+02 * 0.574E+01 0.24029 22 0.257E+02 0.643E+02 0 78 0.741E+07 23 0.257E+02 * 0.642E+02 0.00034 23 0.257E+02 0.278E+02 0 78 0.344E+07 24 0.257E+02 * 0.278E+02 0.00167 24 0.257E+02 0.101E+02 0 78 0.133E+07 25 0.255E+02 * 0.100E+02 0.00601 25 0.255E+02 0.719E+01 0 78 0.450E+06 26 0.252E+02 * 0.710E+01 0.01213 26 0.252E+02 0.732E+01 0 78 0.230E+06 27 0.243E+02 * 0.684E+01 0.07263 27 0.243E+02 0.349E+01 0 78 0.603E+05 28 0.518E+02 * 0.274E+01 0.31158 28 0.518E+02 0.707E+01 0 78 0.271E+05 28 0.505E+02 * 0.724E+01 0.02492 29 0.515E+02 * 0.705E+01 0.00624 29 0.515E+02 0.838E+03 0 78 0.570E+07 29 0.515E+02 * 0.839E+03 0.00010 29 Not accepted damping factor 0.00001 0 78 29 0.515E+02 0.169E+01 0 77 0.322E+05 30 0.244E+03 * 0.102E+01 1.00000 30 0.244E+03 0.193E+01 0 78 0.247E+05 30 0.225E+03 * 0.197E+01 0.07957 31 0.237E+03 * 0.190E+01 0.02983 31 0.237E+03 0.169E+02 0 78 0.297E+06 32 0.237E+03 * 0.169E+02 0.00035 32 0.237E+03 0.246E+02 0 78 0.464E+06 33 0.237E+03 * 0.246E+02 0.00011 33 0.237E+03 0.838E+03 0 78 0.158E+08 33 0.237E+03 * 0.882E+03 0.00010 33 Not accepted damping factor 0.00000 0 78 33 0.237E+03 0.445E+00 0 77 0.112E+05 33 0.104E+03 * 0.491E+01 0.55175 34 0.234E+03 * 0.438E+00 0.01366 34 0.234E+03 0.256E+02 0 78 0.527E+06 35 0.234E+03 * 0.256E+02 0.00010 35 0.234E+03 0.211E+03 0 78 0.433E+07 35 0.234E+03 * 0.212E+03 0.00010 35 Not accepted damping factor 0.00000 0 78 35 0.234E+03 0.446E+00 0 77 0.791E+04 35 0.654E+02 * 0.173E+01 0.71328 36 0.218E+03 * 0.420E+00 0.06692 36 0.218E+03 0.118E+02 0 78 0.253E+06 37 0.218E+03 * 0.118E+02 0.00010 37 0.218E+03 0.161E+02 0 78 0.335E+06 38 0.218E+03 * 0.161E+02 0.00020 38 0.218E+03 0.152E+05 0 78 0.316E+09 38 0.216E+03 * 0.359E+06 0.00010 38 Not accepted damping factor 0.00000 0 78 38 0.218E+03 0.455E+00 0 77 0.493E+04 39 0.111E+02 * 0.180E+00 1.00000 39 0.111E+02 0.666E+00 0 78 0.176E+05 40 0.900E+01 * 0.621E+00 0.19228 40 0.900E+01 0.196E+01 0 78 0.751E+05 41 0.708E+01 * 0.133E+01 0.21475 41 0.708E+01 0.865E+00 0 78 0.261E+05 42 0.217E+01 * 0.167E+00 0.70551 42 0.217E+01 0.155E+00 0 78 0.186E+05 43 0.341E-01 * 0.559E-01 1.00000 43 0.341E-01 0.110E+00 0 78 0.234E+05 44 0.991E-02 * 0.116E-01 1.00000 44 0.991E-02 0.157E-01 0 78 0.333E+05 45 0.109E-03 * 0.306E-04 1.00000 45 0.109E-03 0.420E-04 0 78 0.531E+05 46 0.109E-08 * 0.278E-08 1.00000 46 0.109E-08 0.303E-08 0 78 0.580E+05 47 0.300E-12 * 0.976E-13 1.00000 Solution of nonlinear system of equations obtained within 47 iteration steps Achieved relative accuracy 0.976E-13 Subcondition ( 1, 78) 0.580E+05 Sensitivity ( 1, 78) 0.242E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 47 *** *** Corrector steps : 10 *** *** Rejected rk-1 st. : 5 *** *** Jacobian eval. : 47 *** *** Function eval. : 58 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1666E-12 problem: Dew Point Temperature N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 542 ( 0.8 percent) Integer Workspace declared as 1000 is used up to 68 ( 6.8 percent) N = 16 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 16 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.570E-01 0.306E+00 0 16 0.133E+03 1 0.564E-01 * 0.303E+00 0.01000 1 0.564E-01 0.300E+00 0 16 0.132E+03 2 0.107E+00 * 0.783E-01 0.77483 2 0.107E+00 0.424E+00 0 16 0.269E+03 3 0.102E+00 * 0.409E+00 0.14366 3 0.102E+00 0.444E+01 0 16 0.267E+04 4 0.102E+00 * 0.443E+01 0.00259 4 0.102E+00 0.578E+01 0 16 0.350E+04 5 0.102E+00 * 0.578E+01 0.00410 5 0.102E+00 0.762E+01 0 16 0.481E+04 6 0.102E+00 * 0.762E+01 0.00144 6 0.102E+00 0.674E+02 0 16 0.418E+05 6 0.102E+00 * 0.674E+02 0.00010 6 Not accepted damping factor 0.00002 0 16 6 0.102E+00 0.748E-01 0 15 0.225E+02 7 0.931E-02 * 0.185E-01 1.00000 7 0.931E-02 0.579E-01 0 16 0.160E+03 8 0.572E-02 * 0.310E-01 0.44318 8 0.572E-02 0.265E-01 0 16 0.154E+03 9 0.155E-02 * 0.312E-02 1.00000 9 0.155E-02 0.457E-02 0 16 0.151E+03 10 0.167E-04 * 0.921E-04 1.00000 10 0.167E-04 0.904E-04 0 16 0.150E+03 11 0.119E-07 * 0.464E-07 1.00000 11 0.119E-07 0.462E-07 0 16 0.149E+03 12 0.202E-14 * 0.938E-14 1.00000 Solution of nonlinear system of equations obtained within 12 iteration steps Achieved relative accuracy 0.938E-14 Subcondition ( 1, 16) 0.149E+03 Sensitivity ( 1, 16) 0.245E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 12 *** *** Corrector steps : 1 *** *** Rejected rk-1 st. : 1 *** *** Jacobian eval. : 12 *** *** Function eval. : 14 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1953E-15 problem: Partial Oxidation of Methane with Oxygen N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 209 ( 0.3 percent) Integer Workspace declared as 1000 is used up to 59 ( 5.9 percent) N = 7 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 7 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.352E+05 0.833E+00 0 7 0.399E+01 1 0.348E+05 * 0.820E+00 0.01000 1 0.348E+05 0.829E+00 0 7 0.399E+01 1 0.188E+05 * 0.952E+00 0.42088 2 0.300E+05 * 0.615E+00 0.13265 2 0.300E+05 0.123E+01 0 7 0.628E+01 3 0.292E+05 * 0.106E+01 0.02578 3 0.292E+05 0.354E+01 0 7 0.184E+02 4 0.291E+05 * 0.335E+01 0.00373 4 0.291E+05 0.472E+02 0 7 0.248E+03 5 0.291E+05 * 0.464E+02 0.00010 5 0.291E+05 0.147E+02 0 7 0.773E+02 5 0.291E+05 * 0.149E+02 0.00024 5 0.291E+05 * 0.148E+02 0.00010 5 Not accepted damping factor 0.00000 0 7 5 0.291E+05 0.346E+00 0 6 0.511E+01 6 0.136E+05 * 0.136E+00 0.86014 6 0.136E+05 0.460E+00 0 7 0.471E+01 7 0.102E+05 * 0.369E+00 0.24647 7 0.102E+05 0.350E+00 0 7 0.468E+01 8 0.346E+03 * 0.998E-01 1.00000 8 0.346E+03 0.135E+00 0 7 0.938E+01 8 0.564E+02 * 0.161E+00 1.00000 9 0.212E+03 * 0.130E+00 0.42057 9 0.212E+03 0.166E+01 0 7 0.285E+02 10 0.211E+03 * 0.166E+01 0.00064 10 0.211E+03 0.151E+01 0 7 0.255E+02 11 0.211E+03 * 0.148E+01 0.01043 11 0.211E+03 0.866E+00 0 7 0.145E+02 12 0.214E+03 * 0.817E+00 0.04277 12 0.214E+03 0.696E+00 0 7 0.115E+02 13 0.737E+03 * 0.398E+00 0.29521 13 0.737E+03 0.309E+00 0 7 0.481E+01 14 0.125E+04 * 0.934E-01 1.00000 14 0.125E+04 0.731E+00 0 7 0.398E+01 15 0.118E+04 * 0.625E+00 0.10476 15 0.118E+04 0.593E+00 0 7 0.434E+01 16 0.201E+04 * 0.353E+00 0.75016 16 0.201E+04 0.727E+00 0 7 0.802E+01 16 0.164E+04 * 0.848E+00 0.20510 16 0.191E+04 * 0.755E+00 0.05310 16 0.198E+04 * 0.734E+00 0.01401 16 0.200E+04 * 0.729E+00 0.00370 16 0.201E+04 * 0.727E+00 0.00098 16 0.201E+04 * 0.727E+00 0.00026 16 0.201E+04 * 0.727E+00 0.00010 16 Not accepted damping factor 0.00003 0 7 16 0.201E+04 0.272E+00 0 6 0.516E+01 17 0.884E+04 * 0.106E+00 1.00000 17 0.884E+04 0.392E+00 0 7 0.692E+01 18 0.766E+04 * 0.379E+00 0.13329 18 0.766E+04 0.337E+00 0 7 0.703E+01 18 0.762E+02 * 0.241E+01 1.00000 19 0.713E+04 * 0.332E+00 0.06998 19 0.713E+04 0.313E+00 0 7 0.713E+01 19 0.228E+04 * 0.370E+00 0.67543 20 0.529E+04 * 0.298E+00 0.25714 20 0.529E+04 0.227E+00 0 7 0.748E+01 20 0.141E+04 * 0.869E+00 0.72929 21 0.490E+04 * 0.222E+00 0.07388 21 0.490E+04 0.207E+00 0 7 0.757E+01 21 0.186E+04 * 0.242E+00 0.61781 22 0.376E+04 * 0.196E+00 0.23190 22 0.376E+04 0.151E+00 0 7 0.781E+01 22 0.119E+04 * 0.255E+00 0.68064 23 0.314E+04 * 0.144E+00 0.16390 23 0.314E+04 0.122E+00 0 7 0.796E+01 23 0.102E+04 * 0.185E+00 0.67273 24 0.257E+04 * 0.115E+00 0.18187 24 0.257E+04 0.956E-01 0 7 0.810E+01 24 0.742E+03 * 0.183E+00 0.70969 25 0.219E+04 * 0.904E-01 0.14998 25 0.219E+04 0.789E-01 0 7 0.819E+01 25 0.553E+03 * 0.212E+00 0.74527 26 0.194E+04 * 0.754E-01 0.11184 26 0.194E+04 0.687E-01 0 7 0.826E+01 26 0.428E+03 * 0.337E+00 0.77809 27 0.182E+04 * 0.668E-01 0.06393 27 0.182E+04 0.637E-01 0 7 0.829E+01 27 0.359E+03 * 0.101E+01 0.80086 28 0.178E+04 * 0.631E-01 0.02048 28 0.178E+04 0.622E-01 0 7 0.830E+01 28 0.335E+03 * 0.321E+01 0.81181 29 0.177E+04 * 0.620E-01 0.00637 29 0.177E+04 0.617E-01 0 7 0.831E+01 29 0.324E+03 * 0.130E+01 0.81536 30 0.174E+04 * 0.613E-01 0.01567 30 0.174E+04 0.607E-01 0 7 0.831E+01 30 0.314E+03 * 0.984E+00 0.81849 31 0.170E+04 * 0.601E-01 0.02048 31 0.170E+04 0.592E-01 0 7 0.832E+01 31 0.298E+03 * 0.663E+00 0.82353 32 0.165E+04 * 0.584E-01 0.02996 32 0.165E+04 0.572E-01 0 7 0.834E+01 32 0.278E+03 * 0.453E+00 0.83060 33 0.158E+04 * 0.561E-01 0.04291 33 0.158E+04 0.545E-01 0 7 0.836E+01 33 0.250E+03 * 0.304E+00 0.84083 34 0.148E+04 * 0.529E-01 0.06201 34 0.148E+04 0.507E-01 0 7 0.838E+01 34 0.212E+03 * 0.201E+00 0.85557 35 0.135E+04 * 0.486E-01 0.08973 35 0.135E+04 0.456E-01 0 7 0.842E+01 35 0.165E+03 * 0.131E+00 0.87678 36 0.118E+04 * 0.430E-01 0.12976 36 0.118E+04 0.391E-01 0 7 0.847E+01 36 0.108E+03 * 0.839E-01 0.90692 37 0.958E+03 * 0.359E-01 0.18549 37 0.958E+03 0.311E-01 0 7 0.853E+01 37 0.488E+02 * 0.535E-01 0.94806 38 0.713E+03 * 0.277E-01 0.25579 38 0.713E+03 0.225E-01 0 7 0.861E+01 38 0.247E+01 * 0.344E-01 0.99898 39 0.480E+03 * 0.195E-01 0.32623 39 0.480E+03 0.147E-01 0 7 0.869E+01 39 0.609E+01 * 0.409E-01 1.00000 40 0.394E+03 * 0.134E-01 0.17979 40 0.394E+03 0.119E-01 0 7 0.872E+01 40 0.926E+01 * 0.433E-01 1.00000 41 0.340E+03 * 0.111E-01 0.13767 41 0.340E+03 0.102E-01 0 7 0.874E+01 41 0.126E+02 * 0.448E-01 1.00000 42 0.301E+03 * 0.959E-02 0.11386 42 0.301E+03 0.900E-02 0 7 0.875E+01 42 0.161E+02 * 0.459E-01 1.00000 43 0.271E+03 * 0.852E-02 0.09798 43 0.271E+03 0.808E-02 0 7 0.876E+01 43 0.199E+02 * 0.468E-01 1.00000 44 0.248E+03 * 0.770E-02 0.08643 44 0.248E+03 0.736E-02 0 7 0.877E+01 44 0.239E+02 * 0.475E-01 1.00000 45 0.229E+03 * 0.705E-02 0.07758 45 0.229E+03 0.677E-02 0 7 0.878E+01 45 0.281E+02 * 0.480E-01 1.00000 46 0.213E+03 * 0.651E-02 0.07053 46 0.213E+03 0.628E-02 0 7 0.879E+01 46 0.326E+02 * 0.485E-01 1.00000 47 0.199E+03 * 0.606E-02 0.06477 47 0.199E+03 0.586E-02 0 7 0.879E+01 47 0.373E+02 * 0.489E-01 1.00000 48 0.187E+03 * 0.567E-02 0.05995 48 0.187E+03 0.550E-02 0 7 0.880E+01 48 0.422E+02 * 0.493E-01 1.00000 49 0.176E+03 * 0.533E-02 0.05586 49 0.176E+03 0.519E-02 0 7 0.880E+01 49 0.474E+02 * 0.496E-01 1.00000 50 0.167E+03 * 0.504E-02 0.05232 50 0.167E+03 0.491E-02 0 7 0.880E+01 50 0.528E+02 * 0.498E-01 1.00000 51 0.159E+03 * 0.477E-02 0.04924 51 0.159E+03 0.466E-02 0 7 0.881E+01 51 0.584E+02 * 0.501E-01 1.00000 52 0.152E+03 * 0.454E-02 0.04653 52 0.152E+03 0.444E-02 0 7 0.881E+01 52 0.642E+02 * 0.503E-01 1.00000 53 0.145E+03 * 0.433E-02 0.04412 53 0.145E+03 0.424E-02 0 7 0.881E+01 53 0.703E+02 * 0.505E-01 1.00000 54 0.139E+03 * 0.414E-02 0.04196 54 0.139E+03 0.406E-02 0 7 0.882E+01 54 0.766E+02 * 0.507E-01 1.00000 55 0.133E+03 * 0.397E-02 0.04002 55 0.133E+03 0.389E-02 0 7 0.882E+01 55 0.831E+02 * 0.509E-01 1.00000 56 0.128E+03 * 0.381E-02 0.03826 56 0.128E+03 0.374E-02 0 7 0.882E+01 56 0.899E+02 * 0.510E-01 1.00000 57 0.124E+03 * 0.366E-02 0.03665 57 0.124E+03 0.360E-02 0 7 0.882E+01 57 0.968E+02 * 0.512E-01 1.00000 58 0.119E+03 * 0.353E-02 0.03518 58 0.119E+03 0.347E-02 0 7 0.883E+01 58 0.104E+03 * 0.513E-01 1.00000 59 0.115E+03 * 0.341E-02 0.03383 59 0.115E+03 0.335E-02 0 7 0.883E+01 59 0.111E+03 * 0.514E-01 1.00000 60 0.111E+03 * 0.329E-02 0.03259 60 0.111E+03 0.324E-02 0 7 0.883E+01 60 0.119E+03 * 0.515E-01 1.00000 61 0.108E+03 * 0.318E-02 0.03144 61 0.108E+03 0.314E-02 0 7 0.883E+01 61 0.127E+03 * 0.517E-01 1.00000 62 0.105E+03 * 0.308E-02 0.03037 62 0.105E+03 0.304E-02 0 7 0.883E+01 62 0.135E+03 * 0.518E-01 1.00000 63 0.102E+03 * 0.299E-02 0.02938 63 0.102E+03 0.295E-02 0 7 0.883E+01 63 0.143E+03 * 0.518E-01 1.00000 64 0.987E+02 * 0.290E-02 0.02845 64 0.987E+02 0.286E-02 0 7 0.883E+01 64 0.152E+03 * 0.519E-01 1.00000 65 0.959E+02 * 0.282E-02 0.02758 65 0.959E+02 0.278E-02 0 7 0.884E+01 65 0.160E+03 * 0.520E-01 1.00000 66 0.934E+02 * 0.274E-02 0.02676 66 0.934E+02 0.271E-02 0 7 0.884E+01 66 0.169E+03 * 0.521E-01 1.00000 67 0.910E+02 * 0.267E-02 0.02600 67 0.910E+02 0.264E-02 0 7 0.884E+01 67 0.179E+03 * 0.522E-01 1.00000 68 0.887E+02 * 0.260E-02 0.02527 68 0.887E+02 0.257E-02 0 7 0.884E+01 68 0.188E+03 * 0.523E-01 1.00000 69 0.865E+02 * 0.253E-02 0.02459 69 0.865E+02 0.251E-02 0 7 0.884E+01 69 0.197E+03 * 0.523E-01 1.00000 70 0.844E+02 * 0.247E-02 0.02395 70 0.844E+02 0.244E-02 0 7 0.884E+01 70 0.207E+03 * 0.524E-01 1.00000 71 0.825E+02 * 0.241E-02 0.02334 71 0.825E+02 0.239E-02 0 7 0.884E+01 71 0.217E+03 * 0.524E-01 1.00000 72 0.806E+02 * 0.236E-02 0.02276 72 0.806E+02 0.233E-02 0 7 0.884E+01 72 0.227E+03 * 0.525E-01 1.00000 73 0.788E+02 * 0.230E-02 0.02221 73 0.788E+02 0.228E-02 0 7 0.884E+01 73 0.238E+03 * 0.526E-01 1.00000 74 0.771E+02 * 0.225E-02 0.02169 74 0.771E+02 0.223E-02 0 7 0.884E+01 74 0.249E+03 * 0.526E-01 1.00000 75 0.755E+02 * 0.220E-02 0.02119 75 0.755E+02 0.218E-02 0 7 0.884E+01 75 0.259E+03 * 0.527E-01 1.00000 76 0.739E+02 * 0.216E-02 0.02071 76 0.739E+02 0.214E-02 0 7 0.885E+01 76 0.270E+03 * 0.527E-01 1.00000 77 0.724E+02 * 0.211E-02 0.02026 77 0.724E+02 0.209E-02 0 7 0.885E+01 77 0.282E+03 * 0.528E-01 1.00000 78 0.710E+02 * 0.207E-02 0.01983 78 0.710E+02 0.205E-02 0 7 0.885E+01 78 0.293E+03 * 0.528E-01 1.00000 79 0.696E+02 * 0.203E-02 0.01941 79 0.696E+02 0.201E-02 0 7 0.885E+01 79 0.305E+03 * 0.528E-01 1.00000 80 0.683E+02 * 0.199E-02 0.01902 80 0.683E+02 0.197E-02 0 7 0.885E+01 80 0.317E+03 * 0.529E-01 1.00000 81 0.670E+02 * 0.195E-02 0.01864 81 0.670E+02 0.193E-02 0 7 0.885E+01 81 0.329E+03 * 0.529E-01 1.00000 82 0.658E+02 * 0.191E-02 0.01827 82 0.658E+02 0.190E-02 0 7 0.885E+01 82 0.341E+03 * 0.530E-01 1.00000 83 0.647E+02 * 0.188E-02 0.01792 83 0.647E+02 0.186E-02 0 7 0.885E+01 83 0.354E+03 * 0.530E-01 1.00000 84 0.635E+02 * 0.185E-02 0.01758 84 0.635E+02 0.183E-02 0 7 0.885E+01 84 0.367E+03 * 0.530E-01 1.00000 85 0.624E+02 * 0.181E-02 0.01726 85 0.624E+02 0.180E-02 0 7 0.885E+01 85 0.380E+03 * 0.531E-01 1.00000 86 0.614E+02 * 0.178E-02 0.01695 86 0.614E+02 0.177E-02 0 7 0.885E+01 86 0.393E+03 * 0.531E-01 1.00000 87 0.604E+02 * 0.175E-02 0.01665 87 0.604E+02 0.174E-02 0 7 0.885E+01 87 0.406E+03 * 0.531E-01 1.00000 88 0.594E+02 * 0.172E-02 0.01636 88 0.594E+02 0.171E-02 0 7 0.885E+01 88 0.420E+03 * 0.532E-01 1.00000 89 0.585E+02 * 0.169E-02 0.01608 89 0.585E+02 0.168E-02 0 7 0.885E+01 89 0.433E+03 * 0.532E-01 1.00000 90 0.575E+02 * 0.167E-02 0.01581 90 0.575E+02 0.166E-02 0 7 0.885E+01 90 0.447E+03 * 0.532E-01 1.00000 91 0.567E+02 * 0.164E-02 0.01555 91 0.567E+02 0.163E-02 0 7 0.885E+01 91 0.462E+03 * 0.533E-01 1.00000 92 0.558E+02 * 0.162E-02 0.01530 92 0.558E+02 0.160E-02 0 7 0.885E+01 92 0.476E+03 * 0.533E-01 1.00000 93 0.550E+02 * 0.159E-02 0.01505 93 0.550E+02 0.158E-02 0 7 0.885E+01 93 0.491E+03 * 0.533E-01 1.00000 94 0.542E+02 * 0.157E-02 0.01482 94 0.542E+02 0.156E-02 0 7 0.885E+01 94 0.506E+03 * 0.533E-01 1.00000 95 0.534E+02 * 0.154E-02 0.01459 95 0.534E+02 0.153E-02 0 7 0.886E+01 95 0.521E+03 * 0.534E-01 1.00000 96 0.526E+02 * 0.152E-02 0.01437 96 0.526E+02 0.151E-02 0 7 0.886E+01 96 0.536E+03 * 0.534E-01 1.00000 97 0.519E+02 * 0.150E-02 0.01415 97 0.519E+02 0.149E-02 0 7 0.886E+01 97 0.551E+03 * 0.534E-01 1.00000 98 0.512E+02 * 0.148E-02 0.01394 98 0.512E+02 0.147E-02 0 7 0.886E+01 98 0.567E+03 * 0.534E-01 1.00000 99 0.505E+02 * 0.146E-02 0.01374 99 0.505E+02 0.145E-02 0 7 0.886E+01 99 0.583E+03 * 0.535E-01 1.00000 100 0.498E+02 * 0.144E-02 0.01354 Iteration terminates after NITMAX =100 Iteration steps Subcondition ( 1, 7) 0.886E+01 Sensitivity ( 1, 7) 0.224E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 101 *** *** Corrector steps : 93 *** *** Rejected rk-1 st. : 2 *** *** Jacobian eval. : 100 *** *** Function eval. : 194 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.4984E+02 problem: Swirling Flow between Disks N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 11038 ( 15.8 percent) Integer Workspace declared as 1000 is used up to 150 ( 15.0 percent) N = 98 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 98 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.619E+00 0.920E+04 0 98 0.750E+07 1 0.613E+00 * 0.911E+04 0.01000 1 0.613E+00 0.105E+03 0 98 0.233E+07 2 0.307E+00 * 0.594E+02 0.48859 2 0.307E+00 0.421E+01 0 98 0.166E+07 3 0.244E+00 * 0.343E+01 0.20470 3 0.244E+00 0.154E+01 0 98 0.131E+07 4 0.153E+00 * 0.113E+01 0.37302 4 0.153E+00 0.220E+01 0 98 0.946E+06 5 0.117E+00 * 0.178E+01 0.22977 5 0.117E+00 0.188E+01 0 98 0.289E+06 6 0.257E-01 * 0.766E+00 0.90294 6 0.257E-01 0.524E+00 0 98 0.120E+06 7 0.590E-02 * 0.181E+00 1.00000 7 0.590E-02 0.242E+00 0 98 0.522E+05 8 0.324E-03 * 0.357E-01 1.00000 8 0.324E-03 0.357E-01 0 98 0.796E+05 9 0.163E-05 * 0.112E-03 1.00000 9 0.163E-05 0.142E-03 0 98 0.830E+05 10 0.214E-10 * 0.585E-08 1.00000 10 0.214E-10 0.561E-08 0 98 0.830E+05 11 0.253E-13 * 0.844E-14 1.00000 Solution of nonlinear system of equations obtained within 11 iteration steps Achieved relative accuracy 0.844E-14 Subcondition ( 1, 98) 0.830E+05 Sensitivity ( 1, 98) 0.316E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 11 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 11 *** *** Function eval. : 12 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.2872E-13 problem: Solid Fuel Ignition N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 11462 ( 16.4 percent) Integer Workspace declared as 1000 is used up to 152 ( 15.2 percent) N = 100 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 100 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.116E+00 0.798E-01 0 100 0.794E+01 1 0.115E+00 * 0.790E-01 0.01000 1 0.115E+00 0.790E-01 0 100 0.847E+01 2 0.262E-03 * 0.803E-03 1.00000 2 0.262E-03 0.788E-03 0 100 0.785E+01 3 0.213E-07 * 0.213E-06 1.00000 3 0.213E-07 0.213E-06 0 100 0.785E+01 4 0.207E-14 * 0.198E-13 1.00000 Solution of nonlinear system of equations obtained within 4 iteration steps Achieved relative accuracy 0.198E-13 Subcondition ( 1, 100) 0.785E+01 Sensitivity ( 1, 100) 0.112E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 4 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 4 *** *** Function eval. : 5 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.8720E-16 problem: Sulphur Dioxide to Sulphur Trioxide N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 113 ( 0.2 percent) Integer Workspace declared as 1000 is used up to 55 ( 5.5 percent) N = 3 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 3 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.414E-01 0.194E+01 0 3 0.344E+02 1 0.458E-01 * 0.192E+01 0.01000 1 0.458E-01 0.180E+01 0 3 0.334E+02 2 0.307E+01 * 0.134E+01 0.13949 2 0.307E+01 0.448E+00 0 3 0.228E+02 2 0.116E+02 * 0.131E+02 0.98023 3 0.302E+01 * 0.440E+00 0.01639 3 0.302E+01 0.583E+00 0 3 0.316E+02 4 0.344E+01 * 0.226E+00 0.35043 4 0.344E+01 0.581E-01 0 3 0.243E+02 5 0.964E+00 * 0.388E-01 1.00000 5 0.964E+00 0.369E-01 0 3 0.263E+02 6 0.276E-03 * 0.125E-02 1.00000 6 0.276E-03 0.143E-02 0 3 0.283E+02 7 0.569E-04 * 0.502E-05 1.00000 7 0.569E-04 0.489E-05 0 3 0.274E+02 8 0.293E-09 * 0.412E-10 1.00000 Solution of nonlinear system of equations obtained within 8 iteration steps Achieved relative accuracy 0.412E-10 Subcondition ( 1, 3) 0.274E+02 Sensitivity ( 1, 3) 0.141E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 8 *** *** Corrector steps : 1 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 8 *** *** Function eval. : 10 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.8402E-11 problem: Compressibility factor from the RK equation N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 77 ( 0.1 percent) Integer Workspace declared as 1000 is used up to 53 ( 5.3 percent) N = 1 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 1 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.178E+00 0.226E+01 0 1 0.100E+01 1 0.176E+00 * 0.223E+01 0.01000 1 0.176E+00 0.146E+01 0 1 0.100E+01 2 0.165E+00 * 0.137E+01 0.04485 2 0.165E+00 0.738E+00 0 1 0.100E+01 3 0.122E+00 * 0.546E+00 0.19301 3 0.122E+00 0.341E+00 0 1 0.100E+01 4 0.968E-02 * 0.271E-01 1.00000 4 0.968E-02 0.525E-01 0 1 0.100E+01 5 0.225E-02 * 0.122E-01 1.00000 5 0.225E-02 0.235E-01 0 1 0.100E+01 6 0.524E-03 * 0.547E-02 1.00000 6 0.524E-03 0.103E-01 0 1 0.100E+01 7 0.107E-03 * 0.211E-02 1.00000 7 0.107E-03 0.359E-02 0 1 0.100E+01 8 0.132E-04 * 0.443E-03 1.00000 8 0.132E-04 0.589E-03 0 1 0.100E+01 9 0.359E-06 * 0.160E-04 1.00000 9 0.359E-06 0.169E-04 0 1 0.100E+01 10 0.296E-09 * 0.139E-07 1.00000 10 0.296E-09 0.140E-07 0 1 0.100E+01 11 0.202E-15 * 0.952E-14 1.00000 Solution of nonlinear system of equations obtained within 11 iteration steps Achieved relative accuracy 0.952E-14 Subcondition ( 1, 1) 0.100E+01 Sensitivity ( 1, 1) 0.100E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 11 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 11 *** *** Function eval. : 12 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.0000E+00 problem: Chem. Reactor Equil. Conversion, Shacham 1983 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 94 ( 0.1 percent) Integer Workspace declared as 1000 is used up to 54 ( 5.4 percent) N = 2 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 2 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.440E+04 0.679E-01 0 2 0.476E+01 1 0.435E+04 * 0.672E-01 0.01000 1 0.435E+04 0.672E-01 0 2 0.477E+01 2 0.384E+01 * 0.407E-02 1.00000 2 0.384E+01 0.143E-01 0 2 0.503E+01 3 0.394E+00 * 0.492E-02 1.00000 3 0.394E+00 0.124E-01 0 2 0.475E+01 4 0.216E+00 * 0.551E-02 0.75448 4 0.216E+00 0.106E-01 0 2 0.449E+01 5 0.140E+00 * 0.335E-02 0.97235 5 0.140E+00 0.722E-02 0 2 0.404E+01 6 0.645E-01 * 0.176E-02 1.00000 6 0.645E-01 0.321E-02 0 2 0.349E+01 7 0.126E-01 * 0.421E-03 1.00000 7 0.126E-01 0.564E-03 0 2 0.313E+01 8 0.389E-03 * 0.147E-04 1.00000 8 0.389E-03 0.155E-04 0 2 0.305E+01 9 0.295E-06 * 0.115E-07 1.00000 9 0.295E-06 0.115E-07 0 2 0.305E+01 10 0.103E-10 * 0.616E-14 1.00000 Solution of nonlinear system of equations obtained within 10 iteration steps Achieved relative accuracy 0.616E-14 Subcondition ( 1, 2) 0.305E+01 Sensitivity ( 1, 2) 0.141E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 10 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 10 *** *** Function eval. : 11 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1029E-10 problem: Chemical Reactor Steady State, Shacham 1983 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 94 ( 0.1 percent) Integer Workspace declared as 1000 is used up to 54 ( 5.4 percent) N = 2 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 2 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.841E+02 0.209E-01 0 2 0.294E+01 1 0.833E+02 * 0.207E-01 0.01000 1 0.833E+02 0.205E-01 0 2 0.296E+01 2 0.376E+02 * 0.834E-02 0.50365 2 0.376E+02 0.118E-01 0 2 0.402E+01 3 0.359E+01 * 0.944E-03 0.90776 3 0.359E+01 0.950E-03 0 2 0.307E+01 4 0.367E-02 * 0.131E-05 1.00000 4 0.367E-02 0.125E-05 0 2 0.302E+01 5 0.217E-07 * 0.789E-11 1.00000 Solution of nonlinear system of equations obtained within 5 iteration steps Achieved relative accuracy 0.789E-11 Subcondition ( 1, 2) 0.302E+01 Sensitivity ( 1, 2) 0.141E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 5 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 5 *** *** Function eval. : 6 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.6343E-12 problem: Cutlips steady state for reaction rate equations N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 182 ( 0.3 percent) Integer Workspace declared as 1000 is used up to 58 ( 5.8 percent) N = 6 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 6 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.150E+02 0.366E+02 0 6 0.139E+05 1 0.149E+02 * 0.362E+02 0.01000 1 0.149E+02 0.362E+02 0 6 0.138E+05 2 0.263E-01 * 0.307E+01 1.00000 2 0.263E-01 0.865E+00 0 6 0.147E+04 3 0.524E-03 * 0.303E-02 1.00000 3 0.524E-03 0.209E-02 0 6 0.113E+02 4 0.193E-07 * 0.856E-07 1.00000 4 0.193E-07 0.791E-07 0 6 0.599E+01 5 0.268E-16 * 0.791E-16 1.00000 Solution of nonlinear system of equations obtained within 5 iteration steps Achieved relative accuracy 0.791E-16 Subcondition ( 1, 6) 0.599E+01 Sensitivity ( 1, 6) 0.201E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 5 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 5 *** *** Function eval. : 6 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.2647E-16 problem: Hodgkin Huxley 1 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 134 ( 0.2 percent) Integer Workspace declared as 1000 is used up to 56 ( 5.6 percent) N = 4 Prescribed relative precision 0.10E-09 The Jacobian is supplied by numerical differentiation (without feedback strategy) Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 4 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.225E+01 0.109E+02 0 4 0.206E+03 1 0.222E+01 * 0.108E+02 0.01000 1 0.222E+01 0.106E+02 0 4 0.202E+03 1 0.683E+02 * 0.153E+03 0.82089 2 0.217E+01 * 0.104E+02 0.02310 2 0.217E+01 0.100E+02 0 4 0.194E+03 2 0.270E+02 * 0.539E+02 0.65780 3 0.207E+01 * 0.961E+01 0.03773 3 0.207E+01 0.744E+01 0 4 0.151E+03 3 0.955E+01 * 0.124E+02 0.52135 4 0.190E+01 * 0.692E+01 0.06332 4 0.190E+01 0.318E+01 0 4 0.762E+02 5 0.406E+01 * 0.183E+01 0.46352 5 0.406E+01 0.410E+00 0 4 0.196E+02 6 0.435E+01 * 0.150E+00 1.00000 6 0.435E+01 0.242E+00 0 4 0.165E+02 7 0.995E+00 * 0.548E-01 1.00000 7 0.995E+00 0.212E+00 0 4 0.438E+02 8 0.111E+00 * 0.227E-01 1.00000 8 0.111E+00 0.838E-01 0 4 0.135E+03 9 0.171E-02 * 0.134E-02 1.00000 9 0.171E-02 0.138E-02 0 4 0.136E+03 10 0.425E-06 * 0.338E-06 1.00000 10 0.425E-06 0.338E-06 0 4 0.136E+03 11 0.503E-14 * 0.943E-13 1.00000 Solution of nonlinear system of equations obtained within 11 iteration steps Achieved relative accuracy 0.943E-13 Subcondition ( 1, 4) 0.136E+03 Sensitivity ( 1, 4) 0.141E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 11 *** *** Corrector steps : 3 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 11 *** *** Function eval. : 15 *** *** ... for Jacobian : 44 *** ************************************* norm of residuum = 0.4596E-15 problem: Inf Reflux N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 77 ( 0.1 percent) Integer Workspace declared as 1000 is used up to 53 ( 5.3 percent) N = 1 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 1 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.190E-01 0.340E+02 0 1 0.100E+01 1 0.138E-01 * 0.246E+02 0.01000 1 0.138E-01 0.571E-01 0 1 0.100E+01 2 0.212E-02 * 0.880E-02 1.00000 2 0.212E-02 0.124E-01 0 1 0.100E+01 3 0.758E-04 * 0.443E-03 1.00000 3 0.758E-04 0.476E-03 0 1 0.100E+01 4 0.107E-06 * 0.670E-06 1.00000 4 0.107E-06 0.672E-06 0 1 0.100E+01 5 0.212E-12 * 0.133E-11 1.00000 Solution of nonlinear system of equations obtained within 5 iteration steps Achieved relative accuracy 0.133E-11 Subcondition ( 1, 1) 0.100E+01 Sensitivity ( 1, 1) 0.100E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 5 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 5 *** *** Function eval. : 6 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.5551E-16 problem: Order 10 to 11 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 77 ( 0.1 percent) Integer Workspace declared as 1000 is used up to 53 ( 5.3 percent) N = 1 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 1 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.231E+11 0.658E-02 0 1 0.100E+01 1 0.228E+11 * 0.652E-02 0.01000 1 0.228E+11 0.650E-02 0 1 0.100E+01 2 0.342E+10 * 0.973E-03 1.00000 2 0.342E+10 0.743E-03 0 1 0.100E+01 3 0.529E+08 * 0.115E-04 1.00000 3 0.529E+08 0.119E-04 0 1 0.100E+01 4 0.132E+05 * 0.297E-08 1.00000 4 0.132E+05 0.297E-08 0 1 0.100E+01 5 0.166E-02 * 0.374E-15 1.00000 Solution of nonlinear system of equations obtained within 5 iteration steps Achieved relative accuracy 0.374E-15 Subcondition ( 1, 1) 0.100E+01 Sensitivity ( 1, 1) 0.100E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 5 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 5 *** *** Function eval. : 6 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.7935E-03 problem: Chemical equil. from a Partial Methane Oxidation N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 209 ( 0.3 percent) Integer Workspace declared as 1000 is used up to 59 ( 5.9 percent) N = 7 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 7 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.767E+02 0.145E-01 0 7 0.897E+01 1 0.759E+02 * 0.144E-01 0.01000 1 0.759E+02 0.232E-01 0 7 0.233E+02 2 0.756E+02 * 0.231E-01 0.00362 2 0.756E+02 0.180E-01 0 7 0.272E+02 3 0.753E+02 * 0.178E-01 0.00448 3 0.753E+02 0.211E-01 0 7 0.145E+02 3 0.751E+02 * 0.212E-01 0.00199 3 0.753E+02 * 0.211E-01 0.00034 3 0.753E+02 * 0.211E-01 0.00010 3 Not accepted damping factor 0.00002 0 7 3 0.753E+02 0.124E-01 0 6 0.730E+01 4 0.752E+02 * 0.123E-01 0.00756 4 0.752E+02 0.624E-01 0 7 0.448E+02 4 0.751E+02 * 0.625E-01 0.00031 4 0.751E+02 * 0.624E-01 0.00010 4 Not accepted damping factor 0.00001 0 7 4 0.752E+02 0.704E-02 0 6 0.771E+01 5 0.796E+02 * 0.686E-02 0.02681 5 0.796E+02 0.612E+00 0 7 0.939E+03 5 0.796E+02 * 0.619E+00 0.00010 5 Not accepted damping factor 0.00000 0 7 5 0.796E+02 0.748E-02 0 6 0.463E+01 6 0.780E+02 * 0.739E-02 0.02568 6 0.780E+02 0.825E+00 0 7 0.764E+03 6 0.780E+02 * 0.832E+00 0.00010 6 Not accepted damping factor 0.00000 0 7 6 0.780E+02 0.873E-02 0 6 0.521E+01 7 0.798E+02 * 0.862E-02 0.01910 7 0.798E+02 0.138E-01 0 7 0.815E+01 8 0.793E+02 * 0.137E-01 0.00641 8 0.793E+02 0.610E-01 0 7 0.380E+02 8 0.793E+02 * 0.611E-01 0.00029 8 0.793E+02 * 0.611E-01 0.00010 8 Not accepted damping factor 0.00001 0 7 8 0.793E+02 0.953E-02 0 6 0.754E+01 9 0.805E+02 * 0.948E-02 0.00708 9 0.805E+02 0.360E-01 0 7 0.556E+02 10 0.805E+02 * 0.358E-01 0.00048 10 0.805E+02 0.110E+00 0 7 0.702E+02 10 0.805E+02 * 0.110E+00 0.00010 10 Not accepted damping factor 0.00000 0 7 10 0.805E+02 0.133E-01 0 6 0.154E+02 11 0.805E+02 * 0.133E-01 0.00133 11 0.805E+02 0.157E-01 0 7 0.100E+02 12 0.804E+02 * 0.157E-01 0.00136 12 0.804E+02 0.159E+00 0 7 0.647E+02 12 0.804E+02 * 0.159E+00 0.00010 12 Not accepted damping factor 0.00001 0 7 12 0.804E+02 0.764E-02 0 6 0.222E+02 13 0.812E+02 * 0.758E-02 0.00474 13 0.812E+02 0.213E-01 0 7 0.139E+02 14 0.811E+02 * 0.212E-01 0.00074 14 0.811E+02 0.177E+00 0 7 0.714E+02 15 0.811E+02 * 0.177E+00 0.00010 15 0.811E+02 0.174E-01 0 7 0.130E+02 16 0.810E+02 * 0.174E-01 0.00102 16 0.810E+02 0.321E+00 0 7 0.140E+03 16 0.810E+02 * 0.321E+00 0.00010 16 Not accepted damping factor 0.00000 0 7 16 0.810E+02 0.102E-01 0 6 0.141E+02 17 0.814E+02 * 0.102E-01 0.00182 17 0.814E+02 0.327E+00 0 7 0.311E+03 17 0.814E+02 * 0.328E+00 0.00010 17 Not accepted damping factor 0.00000 0 7 17 0.814E+02 0.104E-01 0 6 0.655E+01 18 0.813E+02 * 0.104E-01 0.00349 18 0.813E+02 0.131E+00 0 7 0.609E+02 18 0.813E+02 * 0.131E+00 0.00010 18 Not accepted damping factor 0.00001 0 7 18 0.813E+02 0.458E-01 0 6 0.361E+02 19 0.814E+02 * 0.458E-01 0.00018 19 0.814E+02 0.306E-01 0 7 0.231E+02 20 0.813E+02 * 0.306E-01 0.00019 20 0.813E+02 0.476E-01 0 7 0.395E+02 20 0.813E+02 * 0.476E-01 0.00010 20 Not accepted damping factor 0.00003 0 7 20 0.813E+02 0.141E-01 0 6 0.102E+02 21 0.813E+02 * 0.141E-01 0.00046 21 0.813E+02 0.140E+00 0 7 0.131E+03 22 0.813E+02 * 0.139E+00 0.00010 22 0.813E+02 0.551E-01 0 7 0.681E+02 22 0.813E+02 * 0.552E-01 0.00020 22 0.813E+02 * 0.551E-01 0.00010 22 Not accepted damping factor 0.00001 0 7 22 0.813E+02 0.157E-01 0 6 0.175E+02 23 0.813E+02 * 0.157E-01 0.00137 23 0.813E+02 0.194E-01 0 7 0.158E+02 24 0.813E+02 * 0.194E-01 0.00110 24 0.813E+02 0.382E+00 0 7 0.168E+03 24 0.813E+02 * 0.382E+00 0.00010 24 Not accepted damping factor 0.00000 0 7 24 0.813E+02 0.966E-02 0 6 0.123E+02 25 0.818E+02 * 0.964E-02 0.00227 25 0.818E+02 0.667E-01 0 7 0.617E+02 25 0.818E+02 * 0.667E-01 0.00010 25 Not accepted damping factor 0.00001 0 7 25 0.818E+02 0.959E-02 0 6 0.641E+01 26 0.816E+02 * 0.956E-02 0.00431 26 0.816E+02 0.307E+00 0 7 0.109E+03 26 0.816E+02 * 0.307E+00 0.00010 26 Not accepted damping factor 0.00000 0 7 26 0.816E+02 0.394E-01 0 6 0.414E+02 26 0.816E+02 * 0.394E-01 0.00026 26 Not accepted damping factor 0.00003 0 6 26 0.816E+02 0.620E-02 0 5 0.766E+01 27 0.846E+02 * 0.615E-02 0.01441 27 0.846E+02 0.197E-01 0 7 0.223E+02 28 0.845E+02 * 0.196E-01 0.00142 28 0.845E+02 0.237E-01 0 7 0.164E+02 28 0.844E+02 * 0.238E-01 0.00100 28 0.844E+02 * 0.237E-01 0.00015 28 0.845E+02 * 0.237E-01 0.00010 28 Not accepted damping factor 0.00001 0 7 28 0.845E+02 0.131E-01 0 6 0.111E+02 29 0.844E+02 * 0.130E-01 0.00419 29 0.844E+02 0.134E-01 0 7 0.797E+01 30 0.840E+02 * 0.134E-01 0.00400 30 0.840E+02 0.307E-01 0 7 0.207E+02 30 0.839E+02 * 0.308E-01 0.00103 30 0.840E+02 * 0.307E-01 0.00019 30 0.840E+02 * 0.307E-01 0.00010 30 Not accepted damping factor 0.00002 0 7 30 0.840E+02 0.110E-01 0 6 0.694E+01 31 0.846E+02 * 0.109E-01 0.00716 31 0.846E+02 0.115E-01 0 7 0.185E+02 32 0.841E+02 * 0.114E-01 0.00662 32 0.841E+02 0.276E-01 0 7 0.184E+02 32 0.840E+02 * 0.277E-01 0.00136 32 0.841E+02 * 0.276E-01 0.00019 32 0.841E+02 * 0.276E-01 0.00010 32 Not accepted damping factor 0.00001 0 7 32 0.841E+02 0.117E-01 0 6 0.849E+01 33 0.843E+02 * 0.115E-01 0.01328 33 0.843E+02 0.121E-01 0 7 0.827E+01 34 0.830E+02 * 0.120E-01 0.01567 34 0.830E+02 0.155E-01 0 7 0.204E+02 35 0.820E+02 * 0.154E-01 0.01194 35 0.820E+02 0.322E+00 0 7 0.158E+03 35 0.820E+02 * 0.322E+00 0.00010 35 Not accepted damping factor 0.00001 0 7 35 0.820E+02 0.826E-02 0 6 0.604E+01 36 0.866E+02 * 0.804E-02 0.03447 36 0.866E+02 0.147E-01 0 7 0.109E+02 37 0.855E+02 * 0.145E-01 0.01241 37 0.855E+02 0.238E-01 0 7 0.123E+02 37 0.852E+02 * 0.239E-01 0.00399 37 0.854E+02 * 0.238E-01 0.00090 37 0.855E+02 * 0.238E-01 0.00020 37 0.855E+02 * 0.238E-01 0.00010 37 Not accepted damping factor 0.00002 0 7 37 0.855E+02 0.782E-02 0 6 0.867E+01 38 0.907E+02 * 0.757E-02 0.03701 38 0.907E+02 0.687E-01 0 7 0.432E+02 39 0.907E+02 * 0.687E-01 0.00043 39 0.907E+02 0.432E-01 0 7 0.273E+02 39 0.907E+02 * 0.433E-01 0.00061 39 0.907E+02 * 0.432E-01 0.00010 39 Not accepted damping factor 0.00001 0 7 39 0.907E+02 0.100E-01 0 6 0.101E+02 40 0.905E+02 * 0.100E-01 0.00273 40 0.905E+02 0.179E+00 0 7 0.574E+03 40 0.905E+02 * 0.180E+00 0.00010 40 Not accepted damping factor 0.00000 0 7 40 0.905E+02 0.307E-01 0 6 0.269E+02 40 0.905E+02 * 0.307E-01 0.00028 40 Not accepted damping factor 0.00004 0 6 40 0.905E+02 0.387E-02 0 5 0.326E+01 41 0.932E+02 * 0.384E-02 0.01788 41 0.932E+02 0.218E-01 0 7 0.169E+02 42 0.931E+02 * 0.218E-01 0.00053 42 0.931E+02 0.286E-01 0 7 0.206E+02 42 0.931E+02 * 0.286E-01 0.00025 42 0.931E+02 * 0.286E-01 0.00010 42 Not accepted damping factor 0.00001 0 7 42 0.931E+02 0.106E-01 0 6 0.102E+02 43 0.931E+02 * 0.106E-01 0.00135 43 0.931E+02 0.162E-01 0 7 0.102E+02 43 0.931E+02 * 0.163E-01 0.00054 43 0.931E+02 * 0.162E-01 0.00012 43 0.931E+02 * 0.162E-01 0.00010 43 Not accepted damping factor 0.00002 0 7 43 0.931E+02 0.102E-01 0 6 0.769E+01 44 0.930E+02 * 0.102E-01 0.00185 44 0.930E+02 0.605E-01 0 7 0.457E+02 44 0.930E+02 * 0.606E-01 0.00010 44 Not accepted damping factor 0.00001 0 7 44 0.930E+02 0.726E-02 0 6 0.678E+01 45 0.935E+02 * 0.723E-02 0.00337 45 0.935E+02 0.475E+00 0 7 0.944E+03 45 0.935E+02 * 0.480E+00 0.00010 45 Not accepted damping factor 0.00000 0 7 45 0.935E+02 0.646E-02 0 6 0.468E+01 46 0.931E+02 * 0.645E-02 0.00452 46 0.931E+02 0.407E+00 0 7 0.435E+03 46 0.931E+02 * 0.409E+00 0.00010 46 Not accepted damping factor 0.00000 0 7 46 0.931E+02 0.768E-02 0 6 0.554E+01 47 0.933E+02 * 0.766E-02 0.00279 47 0.933E+02 0.122E-01 0 7 0.851E+01 48 0.932E+02 * 0.122E-01 0.00087 48 0.932E+02 0.657E-01 0 7 0.439E+02 48 0.932E+02 * 0.657E-01 0.00010 48 Not accepted damping factor 0.00001 0 7 48 0.932E+02 0.797E-02 0 6 0.724E+01 49 0.934E+02 * 0.796E-02 0.00098 49 0.934E+02 0.431E-01 0 7 0.579E+02 50 0.934E+02 * 0.431E-01 0.00010 50 0.934E+02 0.120E+00 0 7 0.849E+02 50 0.933E+02 * 0.120E+00 0.00010 50 Not accepted damping factor 0.00000 0 7 50 0.934E+02 0.134E-01 0 6 0.155E+02 51 0.933E+02 * 0.134E-01 0.00032 51 0.933E+02 0.145E-01 0 7 0.997E+01 52 0.933E+02 * 0.145E-01 0.00038 52 0.933E+02 0.135E+00 0 7 0.553E+02 52 0.933E+02 * 0.135E+00 0.00010 52 Not accepted damping factor 0.00001 0 7 52 0.933E+02 0.621E-02 0 6 0.224E+02 53 0.935E+02 * 0.620E-02 0.00143 53 0.935E+02 0.195E-01 0 7 0.135E+02 54 0.935E+02 * 0.194E-01 0.00017 54 0.935E+02 0.171E+00 0 7 0.745E+02 55 0.935E+02 * 0.171E+00 0.00010 55 0.935E+02 0.163E-01 0 7 0.130E+02 56 0.934E+02 * 0.162E-01 0.00106 56 0.934E+02 0.307E+00 0 7 0.142E+03 56 0.934E+02 * 0.308E+00 0.00010 56 Not accepted damping factor 0.00000 0 7 56 0.934E+02 0.873E-02 0 6 0.144E+02 57 0.937E+02 * 0.871E-02 0.00202 57 0.937E+02 0.329E+00 0 7 0.325E+03 57 0.937E+02 * 0.330E+00 0.00010 57 Not accepted damping factor 0.00000 0 7 57 0.937E+02 0.924E-02 0 6 0.656E+01 58 0.936E+02 * 0.921E-02 0.00349 58 0.936E+02 0.130E+00 0 7 0.621E+02 58 0.936E+02 * 0.130E+00 0.00010 58 Not accepted damping factor 0.00001 0 7 58 0.936E+02 0.447E-01 0 6 0.390E+02 59 0.936E+02 * 0.447E-01 0.00015 59 0.936E+02 0.268E-01 0 7 0.215E+02 60 0.936E+02 * 0.268E-01 0.00018 60 0.936E+02 0.444E-01 0 7 0.375E+02 60 0.936E+02 * 0.444E-01 0.00010 60 Not accepted damping factor 0.00002 0 7 60 0.936E+02 0.124E-01 0 6 0.957E+01 61 0.936E+02 * 0.124E-01 0.00045 61 0.936E+02 0.834E-01 0 7 0.821E+02 62 0.936E+02 * 0.833E-01 0.00010 62 0.936E+02 0.455E-01 0 7 0.733E+02 62 0.936E+02 * 0.455E-01 0.00014 62 0.936E+02 * 0.455E-01 0.00010 62 Not accepted damping factor 0.00001 0 7 62 0.936E+02 0.168E-01 0 6 0.195E+02 63 0.936E+02 * 0.168E-01 0.00085 63 0.936E+02 0.198E-01 0 7 0.173E+02 64 0.935E+02 * 0.198E-01 0.00064 64 0.935E+02 0.352E+00 0 7 0.168E+03 64 0.935E+02 * 0.352E+00 0.00010 64 Not accepted damping factor 0.00000 0 7 64 0.935E+02 0.843E-02 0 6 0.116E+02 65 0.938E+02 * 0.842E-02 0.00149 65 0.938E+02 0.547E-01 0 7 0.399E+02 66 0.938E+02 * 0.547E-01 0.00010 66 0.938E+02 0.124E+00 0 7 0.590E+02 66 0.938E+02 * 0.124E+00 0.00010 66 Not accepted damping factor 0.00001 0 7 66 0.938E+02 0.145E-01 0 6 0.217E+02 66 0.939E+02 * 0.145E-01 0.00036 66 Not accepted damping factor 0.00007 0 6 66 0.938E+02 0.551E-02 0 5 0.120E+02 67 0.943E+02 * 0.550E-02 0.00258 67 0.943E+02 0.110E-01 0 7 0.134E+02 68 0.943E+02 * 0.109E-01 0.00069 68 0.943E+02 0.217E-01 0 7 0.143E+02 68 0.942E+02 * 0.217E-01 0.00021 68 0.943E+02 * 0.217E-01 0.00010 68 Not accepted damping factor 0.00002 0 7 68 0.943E+02 0.115E-01 0 6 0.102E+02 69 0.943E+02 * 0.115E-01 0.00209 69 0.943E+02 0.140E-01 0 7 0.861E+01 70 0.941E+02 * 0.140E-01 0.00140 70 0.941E+02 0.129E+00 0 7 0.611E+02 71 0.941E+02 * 0.129E+00 0.00010 71 0.941E+02 0.103E+00 0 7 0.181E+03 72 0.941E+02 * 0.102E+00 0.00013 72 0.941E+02 0.252E+00 0 7 0.248E+03 73 0.941E+02 * 0.251E+00 0.00010 73 0.941E+02 0.166E-01 0 7 0.124E+02 74 0.940E+02 * 0.166E-01 0.00149 74 0.940E+02 0.198E+01 0 7 0.876E+03 75 0.939E+02 * 0.198E+01 0.00010 75 0.939E+02 0.280E-01 0 7 0.272E+02 76 0.933E+02 * 0.275E-01 0.00711 76 0.933E+02 0.950E-01 0 7 0.624E+02 77 0.932E+02 * 0.947E-01 0.00069 77 0.932E+02 0.234E-01 0 7 0.166E+02 78 0.930E+02 * 0.232E-01 0.00277 78 0.930E+02 0.938E-01 0 7 0.422E+02 78 0.929E+02 * 0.938E-01 0.00018 78 0.929E+02 * 0.938E-01 0.00010 78 Not accepted damping factor 0.00001 0 7 78 0.930E+02 0.745E-02 0 6 0.186E+02 79 0.944E+02 * 0.735E-02 0.00990 79 0.944E+02 0.101E-01 0 7 0.761E+01 80 0.939E+02 * 0.100E-01 0.00599 80 0.939E+02 0.517E-01 0 7 0.346E+02 80 0.939E+02 * 0.517E-01 0.00023 80 0.939E+02 * 0.517E-01 0.00010 80 Not accepted damping factor 0.00001 0 7 80 0.939E+02 0.106E-01 0 6 0.888E+01 81 0.947E+02 * 0.105E-01 0.00545 81 0.947E+02 0.304E-01 0 7 0.412E+02 82 0.947E+02 * 0.304E-01 0.00054 82 0.947E+02 0.140E-01 0 7 0.204E+02 83 0.945E+02 * 0.140E-01 0.00167 83 0.945E+02 0.330E-01 0 7 0.408E+02 83 0.945E+02 * 0.330E-01 0.00035 83 0.945E+02 * 0.330E-01 0.00010 83 Not accepted damping factor 0.00001 0 7 83 0.945E+02 0.116E-01 0 6 0.664E+01 84 0.942E+02 * 0.116E-01 0.00249 84 0.942E+02 0.597E-01 0 7 0.698E+02 84 0.942E+02 * 0.597E-01 0.00010 84 Not accepted damping factor 0.00001 0 7 84 0.942E+02 0.701E-02 0 6 0.108E+02 85 0.945E+02 * 0.699E-02 0.00664 85 0.945E+02 0.255E-01 0 7 0.275E+02 86 0.944E+02 * 0.255E-01 0.00052 86 0.944E+02 0.286E-01 0 7 0.244E+02 86 0.944E+02 * 0.286E-01 0.00035 86 0.944E+02 * 0.286E-01 0.00010 86 Not accepted damping factor 0.00001 0 7 86 0.944E+02 0.929E-02 0 6 0.117E+02 87 0.944E+02 * 0.928E-02 0.00175 87 0.944E+02 0.891E-02 0 7 0.786E+01 88 0.942E+02 * 0.890E-02 0.00221 88 0.942E+02 0.929E+02 0 7 0.497E+05 88 0.942E+02 * 0.130E+03 0.00010 88 Not accepted damping factor 0.00000 0 7 88 0.942E+02 0.549E-02 0 6 0.613E+01 89 0.949E+02 * 0.547E-02 0.00506 89 0.949E+02 0.109E-01 0 7 0.967E+01 90 0.948E+02 * 0.109E-01 0.00150 90 0.948E+02 0.633E-01 0 7 0.401E+02 90 0.948E+02 * 0.633E-01 0.00010 90 Not accepted damping factor 0.00001 0 7 90 0.948E+02 0.117E-01 0 6 0.109E+02 91 0.950E+02 * 0.117E-01 0.00105 91 0.950E+02 0.233E-01 0 7 0.208E+02 92 0.950E+02 * 0.233E-01 0.00022 92 0.950E+02 0.491E-01 0 7 0.318E+02 92 0.949E+02 * 0.491E-01 0.00010 92 Not accepted damping factor 0.00001 0 7 92 0.950E+02 0.130E-01 0 6 0.171E+02 93 0.950E+02 * 0.130E-01 0.00032 93 0.950E+02 0.463E-01 0 7 0.411E+02 94 0.950E+02 * 0.463E-01 0.00010 94 0.950E+02 0.621E-01 0 7 0.486E+02 94 0.950E+02 * 0.621E-01 0.00010 94 Not accepted damping factor 0.00003 0 7 94 0.950E+02 0.230E-01 0 6 0.191E+02 94 0.950E+02 * 0.230E-01 0.00017 94 Not accepted damping factor 0.00002 0 6 94 0.950E+02 0.518E-02 0 5 0.571E+01 95 0.953E+02 * 0.518E-02 0.00157 95 0.953E+02 0.122E-01 0 7 0.172E+02 96 0.953E+02 * 0.122E-01 0.00027 96 0.953E+02 0.166E-01 0 7 0.142E+02 96 0.952E+02 * 0.166E-01 0.00020 96 0.953E+02 * 0.166E-01 0.00010 96 Not accepted damping factor 0.00002 0 7 96 0.953E+02 0.119E-01 0 6 0.103E+02 97 0.952E+02 * 0.119E-01 0.00072 97 0.952E+02 0.140E-01 0 7 0.809E+01 97 0.952E+02 * 0.140E-01 0.00046 97 0.952E+02 * 0.140E-01 0.00016 97 0.952E+02 * 0.140E-01 0.00010 97 Not accepted damping factor 0.00003 0 7 97 0.952E+02 0.121E-01 0 6 0.669E+01 97 0.952E+02 * 0.121E-01 0.00054 97 0.952E+02 * 0.121E-01 0.00017 97 Not accepted damping factor 0.00005 0 6 97 0.952E+02 0.803E-02 0 5 0.548E+01 98 0.953E+02 * 0.803E-02 0.00107 98 0.953E+02 0.276E-01 0 7 0.279E+02 98 0.953E+02 * 0.276E-01 0.00010 98 Not accepted damping factor 0.00001 0 7 98 0.953E+02 0.127E-01 0 6 0.133E+02 98 0.953E+02 * 0.127E-01 0.00032 98 0.953E+02 * 0.127E-01 0.00010 98 Not accepted damping factor 0.00003 0 6 98 0.953E+02 0.391E-02 0 5 0.283E+01 99 0.953E+02 * 0.390E-02 0.00447 99 0.953E+02 0.559E-01 0 7 0.441E+02 100 0.953E+02 * 0.559E-01 0.00010 Iteration terminates after NITMAX =100 Iteration steps Subcondition ( 1, 7) 0.441E+02 Sensitivity ( 1, 7) 0.220E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 101 *** *** Corrector steps : 85 *** *** Rejected rk-1 st. : 56 *** *** Jacobian eval. : 100 *** *** Function eval. : 186 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.9532E+02 problem: Typical Rect. Singly Reinforced Concrete Beam N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 413 ( 0.6 percent) Integer Workspace declared as 1000 is used up to 65 ( 6.5 percent) N = 13 Prescribed relative precision 0.10E-09 The Jacobian is supplied by numerical differentiation (without feedback strategy) Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 13 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.332E+06 0.622E+06 0 13 0.294E+05 0 0.287E+08 * 0.187E+08 0.01000 1 0.330E+06 * 0.622E+06 0.00010 1 0.330E+06 0.634E+04 0 13 0.362E+03 2 0.321E+06 * 0.634E+04 0.00040 2 0.321E+06 0.803E+03 0 13 0.762E+02 3 0.297E+06 * 0.801E+03 0.00159 3 0.297E+06 0.170E+03 0 13 0.291E+02 4 0.254E+06 * 0.169E+03 0.00620 4 0.254E+06 0.457E+02 0 13 0.144E+02 5 0.211E+06 * 0.442E+02 0.02450 5 0.211E+06 0.157E+02 0 13 0.886E+01 6 0.182E+06 * 0.138E+02 0.11527 6 0.182E+06 0.675E+01 0 13 0.840E+01 7 0.180E+06 * 0.501E+01 0.34314 7 0.180E+06 0.343E+01 0 13 0.766E+01 8 0.117E+06 * 0.285E+01 0.21304 8 0.117E+06 0.217E+01 0 13 0.795E+01 9 0.759E+05 * 0.169E+01 0.28477 9 0.759E+05 0.161E+01 0 13 0.870E+01 10 0.512E+05 * 0.117E+01 0.34429 10 0.512E+05 0.113E+01 0 13 0.932E+01 11 0.325E+05 * 0.724E+00 0.45813 11 0.325E+05 0.744E+00 0 13 0.988E+01 12 0.104E+05 * 0.407E+00 0.59517 12 0.104E+05 0.495E+00 0 13 0.865E+01 13 0.390E+05 * 0.274E+00 0.61427 13 0.390E+05 0.389E+00 0 13 0.803E+01 14 0.673E+05 * 0.228E+00 0.56275 14 0.673E+05 0.335E+00 0 13 0.773E+01 15 0.945E+05 * 0.188E+00 0.60398 15 0.945E+05 0.289E+00 0 13 0.796E+01 16 0.118E+06 * 0.148E+00 0.66937 16 0.118E+06 0.232E+00 0 13 0.883E+01 17 0.135E+06 * 0.956E-01 0.81121 17 0.135E+06 0.155E+00 0 13 0.107E+02 18 0.107E+06 * 0.403E-01 1.00000 18 0.107E+06 0.659E-01 0 13 0.134E+02 19 0.270E+05 * 0.101E-01 1.00000 19 0.270E+05 0.134E-01 0 13 0.151E+02 20 0.143E+04 * 0.559E-03 1.00000 20 0.143E+04 0.601E-03 0 13 0.159E+02 21 0.313E+01 * 0.121E-05 1.00000 21 0.313E+01 0.122E-05 0 13 0.160E+02 22 0.133E-04 * 0.497E-11 1.00000 Solution of nonlinear system of equations obtained within 22 iteration steps Achieved relative accuracy 0.497E-11 Subcondition ( 1, 13) 0.160E+02 Sensitivity ( 1, 13) 0.150E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 22 *** *** Corrector steps : 1 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 22 *** *** Function eval. : 24 *** *** ... for Jacobian : 286 *** ************************************* norm of residuum = 0.2583E-09 problem: Wallis Function of 1685 N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 77 ( 0.1 percent) Integer Workspace declared as 1000 is used up to 53 ( 5.3 percent) N = 1 Prescribed relative precision 0.10E-09 The Jacobian is supplied by a user subroutine Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 1 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.609E+01 0.354E+03 0 1 0.100E+01 0 0.692E+02 * 0.402E+04 0.01000 1 0.608E+01 * 0.354E+03 0.00010 1 0.608E+01 0.312E+02 0 1 0.100E+01 2 0.607E+01 * 0.311E+02 0.00124 2 0.607E+01 0.152E+02 0 1 0.100E+01 3 0.603E+01 * 0.151E+02 0.00499 3 0.603E+01 0.731E+01 0 1 0.100E+01 4 0.584E+01 * 0.709E+01 0.02014 4 0.584E+01 0.320E+01 0 1 0.100E+01 5 0.507E+01 * 0.278E+01 0.08341 5 0.507E+01 0.105E+01 0 1 0.100E+01 6 0.188E+01 * 0.389E+00 0.38760 6 0.188E+01 0.128E+00 0 1 0.100E+01 7 0.264E+00 * 0.180E-01 1.00000 7 0.264E+00 0.115E-01 0 1 0.100E+01 8 0.337E-02 * 0.146E-03 1.00000 8 0.337E-02 0.143E-03 0 1 0.100E+01 9 0.572E-06 * 0.243E-07 1.00000 9 0.572E-06 0.245E-07 0 1 0.100E+01 10 0.195E-13 * 0.836E-15 1.00000 Solution of nonlinear system of equations obtained within 10 iteration steps Achieved relative accuracy 0.836E-15 Subcondition ( 1, 1) 0.100E+01 Sensitivity ( 1, 1) 0.100E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 10 *** *** Corrector steps : 1 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 10 *** *** Function eval. : 12 *** *** ... for Jacobian : 0 *** ************************************* norm of residuum = 0.1776E-14 problem: Inters. of Ellipsoid with a Hyperboloid - red. N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 113 ( 0.2 percent) Integer Workspace declared as 1000 is used up to 55 ( 5.5 percent) N = 3 Prescribed relative precision 0.10E-09 The Jacobian is supplied by numerical differentiation (without feedback strategy) Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 3 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.719E+01 0.154E+01 0 3 0.253E+01 1 0.712E+01 * 0.152E+01 0.01000 1 0.712E+01 0.148E+01 0 3 0.248E+01 2 0.645E+00 * 0.193E+00 0.57413 2 0.645E+00 0.110E+00 0 3 0.133E+01 3 0.114E+00 * 0.651E-02 1.00000 3 0.114E+00 0.423E-02 0 3 0.152E+01 4 0.398E-03 * 0.150E-04 1.00000 4 0.398E-03 0.146E-04 0 3 0.153E+01 5 0.514E-08 * 0.187E-09 1.00000 5 0.514E-08 0.188E-09 0 3 0.153E+01 6 0.657E-15 * 0.223E-15 1.00000 Solution of nonlinear system of equations obtained within 6 iteration steps Achieved relative accuracy 0.223E-15 Subcondition ( 1, 3) 0.153E+01 Sensitivity ( 1, 3) 0.140E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 6 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 6 *** *** Function eval. : 7 *** *** ... for Jacobian : 18 *** ************************************* norm of residuum = 0.5813E-15 problem: Esterification Reaction - reduced system N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 94 ( 0.1 percent) Integer Workspace declared as 1000 is used up to 54 ( 5.4 percent) N = 2 Prescribed relative precision 0.10E-09 The Jacobian is supplied by numerical differentiation (without feedback strategy) Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 2 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.971E+07 0.412E+01 0 2 0.596E+03 1 0.962E+07 * 0.408E+01 0.01000 1 0.962E+07 0.428E+01 0 2 0.619E+03 2 0.549E+07 * 0.285E+01 0.50172 2 0.549E+07 0.421E+01 0 2 0.498E+03 3 0.383E+07 * 0.253E+01 0.33745 3 0.383E+07 0.201E+01 0 2 0.131E+03 4 0.959E+06 * 0.111E+01 1.00000 4 0.959E+06 0.263E+00 0 2 0.322E+02 5 0.240E+06 * 0.990E-01 1.00000 5 0.240E+06 0.178E+00 0 2 0.150E+02 6 0.729E+05 * 0.720E-01 0.89746 6 0.729E+05 0.196E+00 0 2 0.960E+01 7 0.244E+05 * 0.862E-01 0.84282 7 0.244E+05 0.230E+00 0 2 0.532E+01 8 0.950E+04 * 0.114E+00 0.75224 8 0.950E+04 0.300E+00 0 2 0.109E+01 9 0.450E+04 * 0.174E+00 0.62349 9 0.450E+04 0.467E+00 0 2 0.760E+01 10 0.274E+04 * 0.328E+00 0.43968 10 0.274E+04 0.927E+00 0 2 0.206E+02 11 0.213E+04 * 0.780E+00 0.23632 11 0.213E+04 0.248E+01 0 2 0.537E+02 12 0.196E+04 * 0.234E+01 0.08318 12 0.196E+04 0.893E+01 0 2 0.164E+03 13 0.193E+04 * 0.884E+01 0.01652 13 0.193E+04 0.440E+02 0 2 0.675E+03 14 0.192E+04 * 0.440E+02 0.00146 14 0.192E+04 0.358E+03 0 2 0.495E+04 14 0.192E+04 * 0.358E+03 0.00010 14 Not accepted damping factor 0.00004 0 2 14 0.192E+04 0.124E-01 0 1 0.100E+01 15 0.272E+04 * 0.224E-03 1.00000 15 0.272E+04 0.656E+02 0 2 0.866E+03 16 0.272E+04 * 0.656E+02 0.00010 16 0.272E+04 0.730E+02 0 2 0.950E+03 17 0.272E+04 * 0.730E+02 0.00082 17 0.272E+04 0.216E+04 0 2 0.274E+05 17 0.272E+04 * 0.217E+04 0.00010 17 Not accepted damping factor 0.00000 0 2 17 0.272E+04 0.664E-02 0 1 0.100E+01 18 0.317E+04 * 0.237E-04 1.00000 18 0.317E+04 0.153E+03 0 2 0.188E+04 19 0.317E+04 * 0.153E+03 0.00010 19 0.317E+04 0.290E+03 0 2 0.351E+04 20 0.317E+04 * 0.290E+03 0.00010 20 0.317E+04 0.493E+03 0 2 0.588E+04 20 0.317E+04 * 0.493E+03 0.00010 20 Not accepted damping factor 0.00002 0 2 20 0.317E+04 0.350E-02 0 1 0.100E+01 21 0.340E+04 * 0.196E-05 1.00000 21 0.340E+04 0.113E+04 0 2 0.133E+05 21 0.340E+04 * 0.113E+04 0.00010 21 Not accepted damping factor 0.00000 0 2 21 0.340E+04 0.180E-02 0 1 0.100E+01 22 0.340E+04 * 0.180E-02 0.00217 22 0.340E+04 0.113E+04 0 2 0.132E+05 22 0.340E+04 * 0.113E+04 0.00010 22 Not accepted damping factor 0.00000 0 2 22 0.340E+04 0.180E-02 0 1 0.100E+01 23 0.352E+04 * 0.391E-07 1.00000 23 0.352E+04 0.412E+03 0 2 0.481E+04 23 0.352E+04 * 0.412E+03 0.00010 23 Not accepted damping factor 0.00003 0 2 23 0.352E+04 0.916E-03 0 1 0.100E+01 24 0.352E+04 * 0.916E-03 0.00010 24 0.352E+04 0.412E+03 0 2 0.480E+04 24 0.352E+04 * 0.412E+03 0.00010 24 Not accepted damping factor 0.00003 0 2 24 0.352E+04 0.917E-03 0 1 0.100E+01 25 0.359E+04 * 0.823E-07 1.00000 25 0.359E+04 0.310E+03 0 2 0.360E+04 26 0.359E+04 * 0.310E+03 0.00010 26 0.359E+04 0.422E+03 0 2 0.485E+04 26 0.359E+04 * 0.423E+03 0.00010 26 Not accepted damping factor 0.00003 0 2 26 0.359E+04 0.414E-03 0 1 0.100E+01 27 0.362E+04 * 0.229E-07 1.00000 27 0.362E+04 0.500E+03 0 2 0.567E+04 27 0.361E+04 * 0.500E+03 0.00010 27 Not accepted damping factor 0.00002 0 2 27 0.362E+04 0.214E-03 0 1 0.100E+01 28 0.362E+04 * 0.214E-03 0.00021 28 0.362E+04 0.500E+03 0 2 0.567E+04 28 0.361E+04 * 0.500E+03 0.00010 28 Not accepted damping factor 0.00002 0 2 28 0.362E+04 0.214E-03 0 1 0.100E+01 29 0.363E+04 * 0.686E-08 1.00000 29 0.363E+04 0.546E+03 0 2 0.618E+04 29 0.363E+04 * 0.546E+03 0.00010 29 Not accepted damping factor 0.00002 0 2 29 0.363E+04 0.109E-03 0 1 0.100E+01 30 0.363E+04 * 0.109E-03 0.00012 30 0.363E+04 0.546E+03 0 2 0.618E+04 30 0.363E+04 * 0.546E+03 0.00010 30 Not accepted damping factor 0.00002 0 2 30 0.363E+04 0.109E-03 0 1 0.100E+01 31 0.364E+04 * 0.188E-08 1.00000 31 0.364E+04 0.572E+03 0 2 0.648E+04 31 0.364E+04 * 0.572E+03 0.00010 31 Not accepted damping factor 0.00002 0 2 31 0.364E+04 0.551E-04 0 1 0.100E+01 32 0.364E+04 * 0.551E-04 0.00010 32 0.364E+04 0.572E+03 0 2 0.648E+04 32 0.364E+04 * 0.572E+03 0.00010 32 Not accepted damping factor 0.00002 0 2 32 0.364E+04 0.551E-04 0 1 0.100E+01 33 0.364E+04 * 0.487E-09 1.00000 33 0.364E+04 0.587E+03 0 2 0.665E+04 33 0.364E+04 * 0.587E+03 0.00010 33 Not accepted damping factor 0.00002 0 2 33 0.364E+04 0.280E-04 0 1 0.100E+01 34 0.364E+04 * 0.280E-04 0.00010 34 0.364E+04 0.587E+03 0 2 0.665E+04 34 0.364E+04 * 0.587E+03 0.00010 34 Not accepted damping factor 0.00002 0 2 34 0.364E+04 0.280E-04 0 1 0.100E+01 35 0.364E+04 * 0.136E-09 1.00000 35 0.364E+04 0.595E+03 0 2 0.673E+04 35 0.364E+04 * 0.595E+03 0.00010 35 Not accepted damping factor 0.00002 0 2 35 0.364E+04 0.142E-04 0 1 0.100E+01 36 0.364E+04 * 0.142E-04 0.00010 36 0.364E+04 0.595E+03 0 2 0.673E+04 36 0.364E+04 * 0.595E+03 0.00010 36 Not accepted damping factor 0.00002 0 2 36 0.364E+04 0.142E-04 0 1 0.100E+01 Iteration terminates at stationary point Subcondition ( 1, 1) 0.100E+01 Sensitivity ( 1, 1) 0.141E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 37 *** *** Corrector steps : 18 *** *** Rejected rk-1 st. : 18 *** *** Jacobian eval. : 37 *** *** Function eval. : 56 *** *** ... for Jacobian : 74 *** ************************************* norm of residuum = 0.3644E+04 problem: Gupta problem - reduced system N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 94 ( 0.1 percent) Integer Workspace declared as 1000 is used up to 54 ( 5.4 percent) N = 2 Prescribed relative precision 0.10E-09 The Jacobian is supplied by numerical differentiation (without feedback strategy) Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 2 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.177E+04 0.417E+00 0 2 0.149E+01 1 0.176E+04 * 0.413E+00 0.01000 1 0.176E+04 0.374E+00 0 2 0.144E+01 2 0.155E+04 * 0.269E+00 0.11515 2 0.155E+04 0.765E-01 0 2 0.107E+01 2 FCN could not be evaluated 0.70747 0 2 3 0.992E+03 * 0.385E-01 0.35374 3 0.992E+03 0.384E-01 0 2 0.100E+01 4 0.155E+02 * 0.334E-02 1.00000 4 0.155E+02 0.370E-02 0 2 0.127E+01 4 FCN could not be evaluated 1.00000 0 2 5 0.115E+01 * 0.274E-03 0.50000 5 0.115E+01 0.594E-04 0 2 0.118E+01 6 0.409E-01 * 0.211E-05 1.00000 6 0.409E-01 0.227E-05 0 2 0.114E+01 7 0.554E-04 * 0.308E-08 1.00000 7 0.554E-04 0.309E-08 0 2 0.113E+01 8 0.132E-09 * 0.736E-14 1.00000 Solution of nonlinear system of equations obtained within 8 iteration steps Achieved relative accuracy 0.736E-14 Subcondition ( 1, 2) 0.113E+01 Sensitivity ( 1, 2) 0.115E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 8 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 8 *** *** Function eval. : 11 *** *** ... for Jacobian : 16 *** ************************************* norm of residuum = 0.2247E-13 problem: Dew Point Temperature - reduced system N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 113 ( 0.2 percent) Integer Workspace declared as 1000 is used up to 55 ( 5.5 percent) N = 3 Prescribed relative precision 0.10E-09 The Jacobian is supplied by numerical differentiation (without feedback strategy) Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 3 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.132E+00 0.846E-01 0 3 0.442E+01 1 0.130E+00 * 0.838E-01 0.01000 1 0.130E+00 0.821E-01 0 3 0.451E+01 2 0.658E-01 * 0.371E-01 0.42172 2 0.658E-01 0.299E-01 0 3 0.585E+01 3 0.316E-02 * 0.152E-01 1.00000 3 0.316E-02 0.232E-01 0 3 0.499E+01 4 0.594E-03 * 0.198E-02 1.00000 4 0.594E-03 0.243E-02 0 3 0.460E+01 5 0.969E-05 * 0.319E-04 1.00000 5 0.969E-05 0.328E-04 0 3 0.454E+01 6 0.215E-08 * 0.682E-08 1.00000 6 0.215E-08 0.683E-08 0 3 0.454E+01 7 0.795E-15 * 0.694E-15 1.00000 Solution of nonlinear system of equations obtained within 7 iteration steps Achieved relative accuracy 0.694E-15 Subcondition ( 1, 3) 0.454E+01 Sensitivity ( 1, 3) 0.142E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 7 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 7 *** *** Function eval. : 8 *** *** ... for Jacobian : 21 *** ************************************* norm of residuum = 0.6410E-16 problem: Part. Oxid. of Methane with Oxygen - reduced N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 113 ( 0.2 percent) Integer Workspace declared as 1000 is used up to 55 ( 5.5 percent) N = 3 Prescribed relative precision 0.10E-09 The Jacobian is supplied by numerical differentiation (without feedback strategy) Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 3 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.109E+05 0.317E+00 0 3 0.279E+01 1 0.107E+05 * 0.314E+00 0.01000 1 0.107E+05 0.297E+00 0 3 0.277E+01 2 0.348E+04 * 0.983E-01 0.19876 2 0.348E+04 0.240E-01 0 3 0.228E+02 3 0.309E+04 * 0.630E-02 1.00000 3 0.309E+04 0.159E-02 0 3 0.924E+02 4 0.537E+03 * 0.372E-03 1.00000 4 0.537E+03 0.544E-03 0 3 0.620E+02 5 0.237E+02 * 0.210E-04 1.00000 5 0.237E+02 0.229E-04 0 3 0.565E+02 6 0.494E-01 * 0.465E-07 1.00000 6 0.494E-01 0.467E-07 0 3 0.562E+02 7 0.170E-06 * 0.162E-12 1.00000 Solution of nonlinear system of equations obtained within 7 iteration steps Achieved relative accuracy 0.162E-12 Subcondition ( 1, 3) 0.562E+02 Sensitivity ( 1, 3) 0.173E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 7 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 7 *** *** Function eval. : 8 *** *** ... for Jacobian : 21 *** ************************************* norm of residuum = 0.1050E-11 problem: Sulphur Dioxide to Sulphur Trioxide - reduced N L E Q 2 ***** V e r s i o n 2 . 3 *** Newton-Method for the solution of nonlinear systems Real Workspace declared as 70000 is used up to 77 ( 0.1 percent) Integer Workspace declared as 1000 is used up to 53 ( 5.3 percent) N = 1 Prescribed relative precision 0.10E-09 The Jacobian is supplied by numerical differentiation (without feedback strategy) Automatic row scaling of the Jacobian is allowed Rank-1 updates are inhibited Problem is specified as being highly nonlinear Bounded damping strategy is off Maximum permitted number of iteration steps : 100 Internal parameters: Starting value for damping factor FCSTART = 0.10E-01 Minimum allowed damping factor FCMIN = 0.10E-03 Rank-1 updates decision parameter SIGMA = 0.10E+06 Initial Jacobian pseudo-rank IRANK = 1 Maximum permitted subcondition COND = 0.10E+18 ****************************************************************** It Normf Normx Damp.Fct. New Rank Cond 0 0.717E-01 0.378E+00 0 1 0.100E+01 1 0.710E-01 * 0.374E+00 0.01000 1 0.710E-01 0.357E+00 0 1 0.100E+01 2 0.398E-01 * 0.201E+00 0.23750 2 0.398E-01 0.634E-01 0 1 0.100E+01 3 0.265E-01 * 0.422E-01 1.00000 3 0.265E-01 0.163E-01 0 1 0.100E+01 4 0.305E-02 * 0.187E-02 1.00000 4 0.305E-02 0.240E-02 0 1 0.100E+01 5 0.552E-04 * 0.434E-04 1.00000 5 0.552E-04 0.450E-04 0 1 0.100E+01 6 0.189E-07 * 0.154E-07 1.00000 6 0.189E-07 0.154E-07 0 1 0.100E+01 7 0.376E-14 * 0.307E-14 1.00000 Solution of nonlinear system of equations obtained within 7 iteration steps Achieved relative accuracy 0.307E-14 Subcondition ( 1, 1) 0.100E+01 Sensitivity ( 1, 1) 0.100E+01 ****** Statistics * NLEQ2 ******* *** Newton iterations : 7 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 7 *** *** Function eval. : 8 *** *** ... for Jacobian : 7 *** ************************************* norm of residuum = 0.5551E-16