N L E Q 1 ***** 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 88 ( 22.0 percent) Integer Workspace declared as 60 is used up to 50 ( 83.3 percent) N = 2 Prescribed relative precision 0.10E-04 The Jacobian is supplied by a user subroutine The Jacobian will be stored in full mode 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 : 10 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 ****************************************************************** It Normf Normx Damp.Fct. New 0 0.629E+00 0.395E+00 0 1 0.622E+00 * 0.391E+00 0.01000 Returned from call 1 of NLEQ1 1 0.622E+00 0.388E+00 0 2 0.302E+00 * 0.188E+00 1.00000 Returned from call 2 of NLEQ1 2 0.302E+00 0.120E+00 0 3 0.183E-01 * 0.727E-02 1.00000 Returned from call 3 of NLEQ1 3 0.183E-01 0.107E-01 0 4 0.872E-04 * 0.509E-04 1.00000 Returned from call 4 of NLEQ1 4 0.872E-04 0.465E-04 0 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 ############################################################################# # # # # # Results from time monitor program for: NLEQ1 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ1 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 * NLEQ1 ******* *** 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 NLEQ1 Time used = 0.000 Sec ****************************************************************** N L E Q 1 ***** 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 105 ( 26.2 percent) Integer Workspace declared as 60 is used up to 50 ( 83.3 percent) N = 3 Prescribed relative precision 0.10E-04 The Jacobian is supplied by a user subroutine The Jacobian will be stored in full mode 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 : 10 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 ****************************************************************** It Normf Normx Damp.Fct. New 0 0.577E+00 0.304E+00 0 1 0.572E+00 * 0.301E+00 0.01000 Returned from call 1 of NLEQ1 1 0.572E+00 0.300E+00 0 2 0.140E+00 * 0.736E-01 1.00000 Returned from call 2 of NLEQ1 2 0.140E+00 0.641E-01 0 3 0.379E-02 * 0.173E-02 1.00000 Returned from call 3 of NLEQ1 3 0.379E-02 0.249E-02 0 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 ############################################################################# # # # # # Results from time monitor program for: NLEQ1 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ1 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 * NLEQ1 ******* *** 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 NLEQ1 Time used = 0.000 Sec ****************************************************************** N L E Q 1 ***** 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 124 ( 31.0 percent) Integer Workspace declared as 60 is used up to 50 ( 83.3 percent) N = 4 Prescribed relative precision 0.10E-04 The Jacobian is supplied by a user subroutine The Jacobian will be stored in full mode 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 : 10 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 ****************************************************************** It Normf Normx Damp.Fct. New 0 0.534E+00 0.472E+00 0 1 0.528E+00 * 0.468E+00 0.01000 Returned from call 1 of NLEQ1 1 0.528E+00 0.459E+00 0 2 0.236E+00 * 0.103E+00 0.49661 Returned from call 2 of NLEQ1 2 0.236E+00 0.204E+00 0 2 0.256E+00 * 0.207E+00 0.77237 3 0.153E+00 * 0.129E+00 0.24189 Returned from call 3 of NLEQ1 3 0.153E+00 0.837E-01 0 4 0.333E-01 * 0.139E-01 1.00000 Returned from call 4 of NLEQ1 4 0.333E-01 0.964E-02 0 5 0.881E-03 * 0.225E-03 1.00000 Returned from call 5 of NLEQ1 5 0.881E-03 0.242E-03 0 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 ############################################################################# # # # # # Results from time monitor program for: NLEQ1 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ1 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 * NLEQ1 ******* *** 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 NLEQ1 Time used = 0.000 Sec ****************************************************************** N L E Q 1 ***** 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 145 ( 36.2 percent) Integer Workspace declared as 60 is used up to 50 ( 83.3 percent) N = 5 Prescribed relative precision 0.10E-04 The Jacobian is supplied by a user subroutine The Jacobian will be stored in full mode 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 : 10 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 ****************************************************************** It Normf Normx Damp.Fct. New 0 0.505E+00 0.359E+00 0 1 0.500E+00 * 0.355E+00 0.01000 Returned from call 1 of NLEQ1 1 0.500E+00 0.351E+00 0 2 0.319E+00 * 0.691E-01 0.58141 Returned from call 2 of NLEQ1 2 0.319E+00 0.838E-01 0 3 0.302E-01 * 0.960E-02 1.00000 Returned from call 3 of NLEQ1 3 0.302E-01 0.950E-02 0 4 0.176E-03 * 0.104E-03 1.00000 Returned from call 4 of NLEQ1 4 0.176E-03 0.111E-03 0 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 ############################################################################# # # # # # Results from time monitor program for: NLEQ1 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ1 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 * NLEQ1 ******* *** 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 NLEQ1 Time used = 0.000 Sec ****************************************************************** N L E Q 1 ***** 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 168 ( 42.0 percent) Integer Workspace declared as 60 is used up to 50 ( 83.3 percent) N = 6 Prescribed relative precision 0.10E-04 The Jacobian is supplied by a user subroutine The Jacobian will be stored in full mode 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 : 10 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 ****************************************************************** It Normf Normx Damp.Fct. New 0 0.528E+00 0.690E+00 0 1 0.523E+00 * 0.683E+00 0.01000 Returned from call 1 of NLEQ1 1 0.523E+00 0.664E+00 0 2 0.338E+00 * 0.376E+00 0.31913 Returned from call 2 of NLEQ1 2 0.338E+00 0.158E+00 0 3 0.123E+00 * 0.133E+00 1.00000 Returned from call 3 of NLEQ1 3 0.123E+00 0.420E-01 0 4 0.770E-02 * 0.248E-02 1.00000 Returned from call 4 of NLEQ1 4 0.770E-02 0.285E-02 0 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 ############################################################################# # # # # # Results from time monitor program for: NLEQ1 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ1 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 * NLEQ1 ******* *** 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 NLEQ1 Time used = 0.000 Sec ****************************************************************** N L E Q 1 ***** 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 193 ( 48.2 percent) Integer Workspace declared as 60 is used up to 50 ( 83.3 percent) N = 7 Prescribed relative precision 0.10E-04 The Jacobian is supplied by a user subroutine The Jacobian will be stored in full mode 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 : 10 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 ****************************************************************** It Normf Normx Damp.Fct. New 0 0.486E+00 0.450E+00 0 1 0.481E+00 * 0.445E+00 0.01000 Returned from call 1 of NLEQ1 1 0.481E+00 0.436E+00 0 2 0.218E+00 * 0.129E+00 0.43108 Returned from call 2 of NLEQ1 2 0.218E+00 0.424E+00 0 3 0.163E+00 * 0.144E+00 0.17345 Returned from call 3 of NLEQ1 3 0.163E+00 0.775E-01 0 4 0.211E-01 * 0.825E-02 1.00000 Returned from call 4 of NLEQ1 4 0.211E-01 0.740E-02 0 5 0.403E-03 * 0.911E-04 1.00000 Returned from call 5 of NLEQ1 5 0.403E-03 0.991E-04 0 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 ############################################################################# # # # # # Results from time monitor program for: NLEQ1 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ1 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 * NLEQ1 ******* *** 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 NLEQ1 Time used = 0.000 Sec ****************************************************************** N L E Q 1 ***** 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 220 ( 55.0 percent) Integer Workspace declared as 60 is used up to 50 ( 83.3 percent) N = 8 Prescribed relative precision 0.10E-04 The Jacobian is supplied by a user subroutine The Jacobian will be stored in full mode 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 : 10 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 ****************************************************************** It Normf Normx Damp.Fct. New 0 0.556E+00 0.136E+01 0 1 0.550E+00 * 0.135E+01 0.01000 Returned from call 1 of NLEQ1 1 0.550E+00 0.132E+01 0 2 0.135E+01 * 0.121E+01 0.19749 Returned from call 2 of NLEQ1 2 0.135E+01 0.532E+00 0 3 0.480E+00 * 0.375E+00 0.39451 Returned from call 3 of NLEQ1 3 0.480E+00 0.132E+00 0 4 0.480E+00 * 0.554E-01 1.00000 Returned from call 4 of NLEQ1 4 0.480E+00 0.131E+00 0 5 0.468E+00 * 0.119E+00 0.39289 Returned from call 5 of NLEQ1 5 0.468E+00 0.167E+00 0 6 0.423E+00 * 0.154E+00 0.15110 Returned from call 6 of NLEQ1 6 0.423E+00 0.167E+01 0 7 0.423E+00 * 0.167E+01 0.00141 Returned from call 7 of NLEQ1 7 0.423E+00 0.600E+02 0 7 0.423E+00 * 0.605E+02 0.00010 Damping factor has become too small: lambda = 0.532E-06 Achieved relative accuracy 0.107E+03 ############################################################################# # # # # # Results from time monitor program for: NLEQ1 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ1 1 0.000 0.0000 0.00 # # FCN 9 0.000 0.0000 0.00 0.00 # # Jacobi 8 0.000 0.0000 0.00 0.00 # # Lin-Fact 8 0.000 0.0000 0.00 0.00 # # Lin-Sol 16 0.000 0.0000 0.00 0.00 # # Output 25 0.000 0.0000 0.00 0.00 # # # ############################################################################# ****** Statistics * NLEQ1 ******* *** Newton iterations : 8 *** *** Corrector steps : 1 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 8 *** *** Function eval. : 9 *** *** ... for Jacobian : 0 *** ************************************* Returned from call 8 of NLEQ1 Time used = 0.000 Sec ****************************************************************** N L E Q 1 ***** 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 249 ( 62.3 percent) Integer Workspace declared as 60 is used up to 50 ( 83.3 percent) N = 9 Prescribed relative precision 0.10E-04 The Jacobian is supplied by a user subroutine The Jacobian will be stored in full mode 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 : 10 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 ****************************************************************** It Normf Normx Damp.Fct. New 0 0.510E+00 0.713E+00 0 1 0.505E+00 * 0.705E+00 0.01000 Returned from call 1 of NLEQ1 1 0.505E+00 0.680E+00 0 2 0.666E+00 * 0.473E+00 0.23884 Returned from call 2 of NLEQ1 2 0.666E+00 0.289E+00 0 3 0.643E+00 * 0.270E+00 0.46972 Returned from call 3 of NLEQ1 3 0.643E+00 0.975E-01 0 4 0.188E+00 * 0.279E-01 1.00000 Returned from call 4 of NLEQ1 4 0.188E+00 0.164E-01 0 5 0.617E-02 * 0.150E-02 1.00000 Returned from call 5 of NLEQ1 5 0.617E-02 0.159E-02 0 6 0.605E-04 * 0.263E-04 1.00000 Returned from call 6 of NLEQ1 6 0.605E-04 0.253E-04 0 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 ############################################################################# # # # # # Results from time monitor program for: NLEQ1 # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLEQ1 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 * NLEQ1 ******* *** 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 NLEQ1 Time used = 0.000 Sec ******************************************************************