Simulated experimential data : 60.6476258 72.6240332 83.5171408 92.3190858 98.0172436 99.9969519 98.0276062 92.3016958 83.5359611 72.6098401 60.6526235 N L S C O N ***** V e r s i o n 2 . 3 . 2 *** Gauss-Newton-Method for the solution of nonlinear least squares problems Real Workspace declared as 400 is used up to 285 ( 71.2 percent) Integer Workspace declared as 60 is used up to 50 ( 83.3 percent) Number of parameters to be estimated (N) : 3 Number of data to fitted, e.g. observations (MFIT) : 11 Number of equality constraints (MCON) : 1 Prescribed relative precision (RTOL) : 0.10E-03 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-01 Rank-1 updates decision parameter SIGMA = 0.10E+04 Initial Jacobian pseudo-rank IRANK = 3 Maximum permitted subcondition COND = 0.10E+17 ************************************************************************** It Normf Normx Damp.Fct. New Rank 0 0.8309901E+02 0.699E+02 0 3 1 0.8233416E+02 * 0.691E+02 0.010 Returned from call 1 of NLSCON 1 0.8233416E+02 0.439E+02 0 3 2 0.8147258E+02 * 0.433E+02 0.014 Returned from call 2 of NLSCON 2 0.8147258E+02 0.244E+02 0 3 3 0.7847902E+02 * 0.231E+02 0.052 Returned from call 3 of NLSCON 3 0.7847902E+02 0.981E+01 0 3 4 0.4619915E+02 * 0.561E+01 0.392 Returned from call 4 of NLSCON 4 0.4619915E+02 0.119E+01 0 3 5 0.5595064E+01 * 0.170E+00 1.000 Returned from call 5 of NLSCON 5 0.5595064E+01 0.620E-01 0 3 6 0.4334862E+00 * 0.356E-02 1.000 Returned from call 6 of NLSCON 6 0.4334862E+00 0.314E-02 0 3 7 0.6815157E-02 * 0.889E-05 1.000 Returned from call 7 of NLSCON 7 0.6815157E-02 0.895E-05 0 3 8 0.6742030E-02 * 0.114E-09 1.000 Solution of nonlinear least squares problem obtained within 8 iteration steps Incompatibility factor kappa 0.276E-02 Achieved relative accuracy 0.248E-07 Subcondition ( 1, 1) of constrained part 0.100E+01 Subcondition ( 2, 3) of least squares part 0.154E+01 Sensitivity ( lsq ) 0.289E+03 under the assumptions of the classical linear model: Best unbiased estimate of variance and standard deviation of residuals: ----------------------------------------------------------------------- sigma2 = 0.606E-04 sigma = 0.779E-02 Covariance matrix of parameters ----------------- 1 2 3 1 0.76E-05 2 -0.23E-06 0.17E-06 3 0.61E-06 -0.18E-06 0.22E-06 Correlation coefficients ------------------------ 1 2 3 1 1.00 2 -0.20 1.00 3 0.48 -0.96 1.00 Standard deviation of parameters -------------------------------- No. Estimate sigma(X) 1 0.100E+03 +/- 0.275E-02 = 0.00 % 2 0.100E+02 +/- 0.416E-03 = 0.00 % 3 0.100E+02 +/- 0.464E-03 = 0.00 % Independent confidence intervals -------------------------------- (on 95%-probability level using F-distribution F(alfa,1,m-n)= 5.12) 1 ( 0.100E+03 , 0.100E+03 ) 2 ( 0.100E+02 , 0.100E+02 ) 3 ( 0.100E+02 , 0.100E+02 ) ############################################################################# # # # # # Results from time monitor program for: NLSCON # # # # Total time: 0.000 Sum of parts: 0.000 # # # # Name Calls Time Av-time % Total % Sum # # NLSCON 1 0.000 0.0000 0.00 # # FCN 10 0.000 0.0000 0.00 0.00 # # Jacobi 9 0.000 0.0000 0.00 0.00 # # Lin-Fact 9 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 * NLSCON ******* *** Gauss-Newton iter.: 8 *** *** Corrector steps : 0 *** *** Rejected rk-1 st. : 0 *** *** Jacobian eval. : 9 *** *** Function eval. : 10 *** *** ... for Jacobian : 0 *** ************************************* Returned from call 8 of NLSCON Time used = 0.000 Sec ******************************************************************