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 400 is used up to 94 ( 23.5 percent) Integer Workspace declared as 61 is used up to 54 ( 88.5 percent) N = 2 Prescribed relative precision 0.10E-04 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 : 200 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 0.629E+00 0.395E+00 0 2 0.200E+01 1 0.622E+00 * 0.391E+00 0.01000 Returned from call 1 of NLEQ2 1 0.622E+00 0.388E+00 0 2 0.201E+01 2 0.302E+00 * 0.188E+00 1.00000 Returned from call 2 of NLEQ2 2 0.302E+00 0.120E+00 0 2 0.300E+01 3 0.183E-01 * 0.727E-02 1.00000 Returned from call 3 of NLEQ2 3 0.183E-01 0.107E-01 0 2 0.431E+01 4 0.872E-04 * 0.509E-04 1.00000 Returned from call 4 of NLEQ2 4 0.872E-04 0.465E-04 0 2 0.376E+01 5 0.202E-08 * 0.108E-08 1.00000 Solution of nonlinear system of equations obtained within 5 iteration steps Achieved relative accuracy 0.108E-08 Subcondition ( 1, 2) 0.376E+01 Sensitivity ( 1, 2) 0.141E+01 ############################################################################# # # # # # Results from time monitor program for: NLEQ2 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ2 1 0.000 0.0000 0.00 # # FCN 6 0.000 0.0000 0.00 0.00 # # Jacobi 5 0.000 0.0000 0.00 0.00 # # Lin-Fact 5 0.000 0.0000 0.00 0.00 # # Lin-Sol 10 0.000 0.0000 0.00 0.00 # # Output 16 0.000 0.0000 0.00 0.00 # # # ############################################################################# ****** Statistics * NLEQ2 ******* *** Newton iterations : 5 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 5 *** *** Function eval. : 6 *** *** ... for Jacobian : 0 *** ************************************* Returned from call 5 of NLEQ2 Time used = 0.000 Sec ****************************************************************** 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 400 is used up to 113 ( 28.2 percent) Integer Workspace declared as 61 is used up to 55 ( 90.2 percent) N = 3 Prescribed relative precision 0.10E-04 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 : 200 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 0.577E+00 0.304E+00 0 3 0.332E+01 1 0.572E+00 * 0.301E+00 0.01000 Returned from call 1 of NLEQ2 1 0.572E+00 0.300E+00 0 3 0.331E+01 2 0.140E+00 * 0.736E-01 1.00000 Returned from call 2 of NLEQ2 2 0.140E+00 0.641E-01 0 3 0.461E+01 3 0.379E-02 * 0.173E-02 1.00000 Returned from call 3 of NLEQ2 3 0.379E-02 0.249E-02 0 3 0.675E+01 4 0.310E-05 * 0.204E-05 1.00000 Solution of nonlinear system of equations obtained within 4 iteration steps Achieved relative accuracy 0.204E-05 Subcondition ( 1, 3) 0.675E+01 Sensitivity ( 1, 3) 0.173E+01 ############################################################################# # # # # # Results from time monitor program for: NLEQ2 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ2 1 0.000 0.0000 0.00 # # FCN 5 0.000 0.0000 0.00 0.00 # # Jacobi 4 0.000 0.0000 0.00 0.00 # # Lin-Fact 4 0.000 0.0000 0.00 0.00 # # Lin-Sol 8 0.000 0.0000 0.00 0.00 # # Output 13 0.000 0.0000 0.00 0.00 # # # ############################################################################# ****** Statistics * NLEQ2 ******* *** Newton iterations : 4 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 4 *** *** Function eval. : 5 *** *** ... for Jacobian : 0 *** ************************************* Returned from call 4 of NLEQ2 Time used = 0.000 Sec ****************************************************************** 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 400 is used up to 134 ( 33.5 percent) Integer Workspace declared as 61 is used up to 56 ( 91.8 percent) N = 4 Prescribed relative precision 0.10E-04 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 : 200 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 0.534E+00 0.472E+00 0 4 0.639E+01 1 0.528E+00 * 0.468E+00 0.01000 Returned from call 1 of NLEQ2 1 0.528E+00 0.459E+00 0 4 0.636E+01 2 0.236E+00 * 0.103E+00 0.49661 Returned from call 2 of NLEQ2 2 0.236E+00 0.204E+00 0 4 0.596E+01 2 0.256E+00 * 0.207E+00 0.77237 3 0.153E+00 * 0.129E+00 0.24189 Returned from call 3 of NLEQ2 3 0.153E+00 0.837E-01 0 4 0.834E+01 4 0.333E-01 * 0.139E-01 1.00000 Returned from call 4 of NLEQ2 4 0.333E-01 0.964E-02 0 4 0.894E+01 5 0.881E-03 * 0.225E-03 1.00000 Returned from call 5 of NLEQ2 5 0.881E-03 0.242E-03 0 4 0.960E+01 6 0.663E-06 * 0.178E-06 1.00000 Solution of nonlinear system of equations obtained within 6 iteration steps Achieved relative accuracy 0.178E-06 Subcondition ( 1, 4) 0.960E+01 Sensitivity ( 1, 4) 0.200E+01 ############################################################################# # # # # # Results from time monitor program for: NLEQ2 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ2 1 0.000 0.0000 0.00 # # FCN 8 0.000 0.0000 0.00 0.00 # # Jacobi 6 0.000 0.0000 0.00 0.00 # # Lin-Fact 6 0.000 0.0000 0.00 0.00 # # Lin-Sol 13 0.000 0.0000 0.00 0.00 # # Output 20 0.000 0.0000 0.00 0.00 # # # ############################################################################# ****** Statistics * NLEQ2 ******* *** Newton iterations : 6 *** *** Corrector steps : 1 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 6 *** *** Function eval. : 8 *** *** ... for Jacobian : 0 *** ************************************* Returned from call 6 of NLEQ2 Time used = 0.000 Sec ****************************************************************** 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 400 is used up to 157 ( 39.2 percent) Integer Workspace declared as 61 is used up to 57 ( 93.4 percent) N = 5 Prescribed relative precision 0.10E-04 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 : 200 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 0.505E+00 0.359E+00 0 5 0.873E+01 1 0.500E+00 * 0.355E+00 0.01000 Returned from call 1 of NLEQ2 1 0.500E+00 0.351E+00 0 5 0.866E+01 2 0.319E+00 * 0.691E-01 0.58141 Returned from call 2 of NLEQ2 2 0.319E+00 0.838E-01 0 5 0.739E+01 3 0.302E-01 * 0.960E-02 1.00000 Returned from call 3 of NLEQ2 3 0.302E-01 0.950E-02 0 5 0.117E+02 4 0.176E-03 * 0.104E-03 1.00000 Returned from call 4 of NLEQ2 4 0.176E-03 0.111E-03 0 5 0.123E+02 5 0.361E-07 * 0.106E-07 1.00000 Solution of nonlinear system of equations obtained within 5 iteration steps Achieved relative accuracy 0.106E-07 Subcondition ( 1, 5) 0.123E+02 Sensitivity ( 1, 5) 0.211E+01 ############################################################################# # # # # # Results from time monitor program for: NLEQ2 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ2 1 0.000 0.0000 0.00 # # FCN 6 0.000 0.0000 0.00 0.00 # # Jacobi 5 0.000 0.0000 0.00 0.00 # # Lin-Fact 5 0.000 0.0000 0.00 0.00 # # Lin-Sol 10 0.000 0.0000 0.00 0.00 # # Output 16 0.000 0.0000 0.00 0.00 # # # ############################################################################# ****** Statistics * NLEQ2 ******* *** Newton iterations : 5 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 5 *** *** Function eval. : 6 *** *** ... for Jacobian : 0 *** ************************************* Returned from call 5 of NLEQ2 Time used = 0.000 Sec ****************************************************************** 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 400 is used up to 182 ( 45.5 percent) Integer Workspace declared as 61 is used up to 58 ( 95.1 percent) N = 6 Prescribed relative precision 0.10E-04 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 : 200 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 0.528E+00 0.690E+00 0 6 0.130E+02 1 0.523E+00 * 0.683E+00 0.01000 Returned from call 1 of NLEQ2 1 0.523E+00 0.664E+00 0 6 0.128E+02 2 0.338E+00 * 0.376E+00 0.31913 Returned from call 2 of NLEQ2 2 0.338E+00 0.158E+00 0 6 0.143E+02 3 0.123E+00 * 0.133E+00 1.00000 Returned from call 3 of NLEQ2 3 0.123E+00 0.420E-01 0 6 0.131E+02 4 0.770E-02 * 0.248E-02 1.00000 Returned from call 4 of NLEQ2 4 0.770E-02 0.285E-02 0 6 0.165E+02 5 0.143E-04 * 0.959E-05 1.00000 Solution of nonlinear system of equations obtained within 5 iteration steps Achieved relative accuracy 0.959E-05 Subcondition ( 1, 6) 0.165E+02 Sensitivity ( 1, 6) 0.224E+01 ############################################################################# # # # # # Results from time monitor program for: NLEQ2 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ2 1 0.000 0.0000 0.00 # # FCN 6 0.000 0.0000 0.00 0.00 # # Jacobi 5 0.000 0.0000 0.00 0.00 # # Lin-Fact 5 0.000 0.0000 0.00 0.00 # # Lin-Sol 10 0.000 0.0000 0.00 0.00 # # Output 16 0.000 0.0000 0.00 0.00 # # # ############################################################################# ****** Statistics * NLEQ2 ******* *** Newton iterations : 5 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 5 *** *** Function eval. : 6 *** *** ... for Jacobian : 0 *** ************************************* Returned from call 5 of NLEQ2 Time used = 0.000 Sec ****************************************************************** 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 400 is used up to 209 ( 52.2 percent) Integer Workspace declared as 61 is used up to 59 ( 96.7 percent) N = 7 Prescribed relative precision 0.10E-04 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 : 200 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 0.486E+00 0.450E+00 0 7 0.166E+02 1 0.481E+00 * 0.445E+00 0.01000 Returned from call 1 of NLEQ2 1 0.481E+00 0.436E+00 0 7 0.164E+02 2 0.218E+00 * 0.129E+00 0.43108 Returned from call 2 of NLEQ2 2 0.218E+00 0.424E+00 0 7 0.692E+02 3 0.163E+00 * 0.144E+00 0.17345 Returned from call 3 of NLEQ2 3 0.163E+00 0.775E-01 0 7 0.165E+02 4 0.211E-01 * 0.825E-02 1.00000 Returned from call 4 of NLEQ2 4 0.211E-01 0.740E-02 0 7 0.175E+02 5 0.403E-03 * 0.911E-04 1.00000 Returned from call 5 of NLEQ2 5 0.403E-03 0.991E-04 0 7 0.196E+02 6 0.722E-07 * 0.153E-07 1.00000 Solution of nonlinear system of equations obtained within 6 iteration steps Achieved relative accuracy 0.153E-07 Subcondition ( 1, 7) 0.196E+02 Sensitivity ( 1, 7) 0.248E+01 ############################################################################# # # # # # Results from time monitor program for: NLEQ2 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ2 1 0.000 0.0000 0.00 # # FCN 7 0.000 0.0000 0.00 0.00 # # Jacobi 6 0.000 0.0000 0.00 0.00 # # Lin-Fact 6 0.000 0.0000 0.00 0.00 # # Lin-Sol 12 0.000 0.0000 0.00 0.00 # # Output 19 0.000 0.0000 0.00 0.00 # # # ############################################################################# ****** Statistics * NLEQ2 ******* *** Newton iterations : 6 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 6 *** *** Function eval. : 7 *** *** ... for Jacobian : 0 *** ************************************* Returned from call 6 of NLEQ2 Time used = 0.000 Sec ****************************************************************** 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 400 is used up to 238 ( 59.5 percent) Integer Workspace declared as 61 is used up to 60 ( 98.4 percent) N = 8 Prescribed relative precision 0.10E-04 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 : 200 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 0.556E+00 0.136E+01 0 8 0.334E+02 1 0.550E+00 * 0.135E+01 0.01000 Returned from call 1 of NLEQ2 1 0.550E+00 0.132E+01 0 8 0.349E+02 2 0.135E+01 * 0.121E+01 0.19749 Returned from call 2 of NLEQ2 2 0.135E+01 0.532E+00 0 8 0.356E+02 3 0.480E+00 * 0.375E+00 0.39451 Returned from call 3 of NLEQ2 3 0.480E+00 0.132E+00 0 8 0.176E+02 4 0.480E+00 * 0.554E-01 1.00000 Returned from call 4 of NLEQ2 4 0.480E+00 0.131E+00 0 8 0.284E+02 5 0.468E+00 * 0.119E+00 0.39289 Returned from call 5 of NLEQ2 5 0.468E+00 0.167E+00 0 8 0.613E+02 6 0.423E+00 * 0.154E+00 0.15110 Returned from call 6 of NLEQ2 6 0.423E+00 0.167E+01 0 8 0.591E+03 7 0.423E+00 * 0.167E+01 0.00141 Returned from call 7 of NLEQ2 7 0.423E+00 0.600E+02 0 8 0.315E+05 7 0.423E+00 * 0.605E+02 0.00010 7 Not accepted damping factor 0.00000 0 8 7 0.423E+00 0.225E+02 0 7 0.970E+04 7 Not accepted damping factor 0.00001 0 7 7 0.423E+00 0.702E+00 0 6 0.183E+04 8 0.405E+00 * 0.697E+00 0.00541 Returned from call 8 of NLEQ2 8 0.405E+00 0.415E+02 0 8 0.553E+04 8 0.407E+00 * 0.417E+02 0.00010 8 Not accepted damping factor 0.00000 0 8 8 0.405E+00 0.732E+01 0 7 0.211E+04 8 Not accepted damping factor 0.00005 0 7 8 0.405E+00 0.171E+00 0 6 0.534E+03 9 0.413E+00 * 0.167E+00 0.02385 Returned from call 9 of NLEQ2 9 0.413E+00 0.147E+02 0 8 0.195E+04 9 0.413E+00 * 0.147E+02 0.00010 9 Not accepted damping factor 0.00001 0 8 9 0.413E+00 0.463E+01 0 7 0.149E+04 9 Not accepted damping factor 0.00003 0 7 9 0.413E+00 0.901E-01 0 6 0.433E+03 10 0.428E+00 * 0.838E-01 0.08152 Returned from call 10 of NLEQ2 10 0.428E+00 0.170E+02 0 8 0.235E+04 10 0.428E+00 * 0.170E+02 0.00010 10 Not accepted damping factor 0.00001 0 8 10 0.428E+00 0.362E+01 0 7 0.108E+04 10 Not accepted damping factor 0.00005 0 7 10 0.428E+00 0.991E-01 0 6 0.363E+03 11 0.554E+00 * 0.919E-01 0.22138 Returned from call 11 of NLEQ2 11 0.554E+00 0.152E+01 0 8 0.490E+03 12 0.553E+00 * 0.152E+01 0.00087 Returned from call 12 of NLEQ2 12 0.553E+00 0.341E+01 0 8 0.554E+03 13 0.553E+00 * 0.341E+01 0.00028 Returned from call 13 of NLEQ2 13 0.553E+00 0.937E+01 0 8 0.158E+04 13 0.553E+00 * 0.937E+01 0.00010 13 Not accepted damping factor 0.00003 0 8 13 0.553E+00 0.121E+01 0 7 0.381E+03 14 0.553E+00 * 0.121E+01 0.00092 Returned from call 14 of NLEQ2 14 0.553E+00 0.703E+02 0 8 0.119E+05 14 0.556E+00 * 0.710E+02 0.00010 14 Not accepted damping factor 0.00000 0 8 14 0.553E+00 0.604E+00 0 7 0.227E+03 15 0.551E+00 * 0.602E+00 0.00288 Returned from call 15 of NLEQ2 15 0.551E+00 0.486E+03 0 8 0.825E+05 15 0.718E+00 * 0.741E+03 0.00010 15 Not accepted damping factor 0.00000 0 8 15 0.551E+00 0.374E+00 0 7 0.139E+03 16 0.545E+00 * 0.367E+00 0.01223 Returned from call 16 of NLEQ2 16 0.545E+00 0.574E+03 0 8 0.969E+05 16 0.780E+00 * 0.987E+03 0.00010 16 Not accepted damping factor 0.00000 0 8 16 0.545E+00 0.188E+00 0 7 0.703E+02 17 0.519E+00 * 0.174E+00 0.04942 Returned from call 17 of NLEQ2 17 0.519E+00 0.687E+03 0 8 0.114E+06 17 0.865E+00 * 0.137E+04 0.00010 17 Not accepted damping factor 0.00000 0 8 17 0.519E+00 0.942E-01 0 7 0.359E+02 18 0.423E+00 * 0.677E-01 0.20726 Returned from call 18 of NLEQ2 18 0.423E+00 0.816E+03 0 8 0.126E+06 18 0.938E+00 * 0.189E+04 0.00010 18 Not accepted damping factor 0.00000 0 8 18 0.423E+00 0.444E-01 0 7 0.225E+02 19 0.199E+00 * 0.676E-02 1.00000 Returned from call 19 of NLEQ2 19 0.199E+00 0.885E+03 0 8 0.130E+06 19 0.838E+00 * 0.223E+04 0.00010 19 Not accepted damping factor 0.00000 0 8 19 0.199E+00 0.125E-01 0 7 0.215E+02 20 0.217E+00 * 0.447E-03 1.00000 Returned from call 20 of NLEQ2 20 0.217E+00 0.873E+03 0 8 0.129E+06 20 0.884E+00 * 0.215E+04 0.00010 20 Not accepted damping factor 0.00000 0 8 20 0.217E+00 0.116E-02 0 7 0.211E+02 Iteration terminates at stationary point Achieved relative accuracy 0.234E-02 Subcondition ( 1, 7) 0.211E+02 Sensitivity ( 1, 7) 0.268E+01 ############################################################################# # # # # # Results from time monitor program for: NLEQ2 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ2 1 0.000 0.0000 0.00 # # FCN 34 0.000 0.0000 0.00 0.00 # # Jacobi 21 0.000 0.0000 0.00 0.00 # # Lin-Fact 37 0.000 0.0000 0.00 0.00 # # Lin-Sol 70 0.000 0.0000 0.00 0.00 # # Output 91 0.000 0.0000 0.00 0.00 # # # ############################################################################# ****** Statistics * NLEQ2 ******* *** Newton iterations : 21 *** *** Corrector steps : 12 *** *** Rejected rk-1 st. : 16 *** *** Jacobian eval. : 21 *** *** Function eval. : 34 *** *** ... for Jacobian : 0 *** ************************************* Returned from call 21 of NLEQ2 Time used = 0.000 Sec ****************************************************************** 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 400 is used up to 269 ( 67.2 percent) Integer Workspace declared as 61 is used up to 61 (100.0 percent) N = 9 Prescribed relative precision 0.10E-04 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 : 200 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 0.510E+00 0.713E+00 0 9 0.729E+02 1 0.505E+00 * 0.705E+00 0.01000 Returned from call 1 of NLEQ2 1 0.505E+00 0.680E+00 0 9 0.707E+02 2 0.666E+00 * 0.473E+00 0.23884 Returned from call 2 of NLEQ2 2 0.666E+00 0.289E+00 0 9 0.259E+03 3 0.643E+00 * 0.270E+00 0.46972 Returned from call 3 of NLEQ2 3 0.643E+00 0.975E-01 0 9 0.158E+03 4 0.188E+00 * 0.279E-01 1.00000 Returned from call 4 of NLEQ2 4 0.188E+00 0.164E-01 0 9 0.329E+02 5 0.617E-02 * 0.150E-02 1.00000 Returned from call 5 of NLEQ2 5 0.617E-02 0.159E-02 0 9 0.307E+02 6 0.605E-04 * 0.263E-04 1.00000 Returned from call 6 of NLEQ2 6 0.605E-04 0.253E-04 0 9 0.296E+02 7 0.167E-07 * 0.786E-08 1.00000 Solution of nonlinear system of equations obtained within 7 iteration steps Achieved relative accuracy 0.786E-08 Subcondition ( 1, 9) 0.296E+02 Sensitivity ( 1, 9) 0.279E+01 ############################################################################# # # # # # Results from time monitor program for: NLEQ2 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ2 1 0.000 0.0000 0.00 # # FCN 8 0.000 0.0000 0.00 0.00 # # Jacobi 7 0.000 0.0000 0.00 0.00 # # Lin-Fact 7 0.000 0.0000 0.00 0.00 # # Lin-Sol 14 0.000 0.0000 0.00 0.00 # # Output 22 0.000 0.0000 0.00 0.00 # # # ############################################################################# ****** Statistics * NLEQ2 ******* *** Newton iterations : 7 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 7 *** *** Function eval. : 8 *** *** ... for Jacobian : 0 *** ************************************* Returned from call 7 of NLEQ2 Time used = 0.000 Sec ******************************************************************