--- Job minsurf75 Start 09/21/08 05:44:26 LNX-LX3 22.9.0 x86/Linux GAMS Rev 229 Copyright (C) 1987-2008 GAMS Development. All rights reserved *** ************* ALFA release *** GAMS Base Module ALFA 10Sep08 22.9.0 LNX 6574.6578 LX3 x86/Linux *** ************* ALFA release Licensee: Stefan Vigerske G080908/0001CB-LNX Humboldt University Berlin, Numerical Mathematics DC5918 --- Starting compilation --- minsurf75.gms(11313) 4 Mb --- Starting execution: elapsed 0:00:00.238 --- minsurf75.gms(11309) 5 Mb --- Generating NLP model m --- minsurf75.gms(11313) 10 Mb --- 1 rows 4,005 columns 4,005 non-zeroes --- 255,819 nl-code 4,004 nl-non-zeroes --- minsurf75.gms(11313) 8 Mb --- Executing IPOPT: elapsed 0:00:00.605 GAMS/Ipopt NLP Solver (IPOPT Library 3.5) written by A. Waechter List of user-set options: Name Value used acceptable_tol = 1e-08 yes compl_inf_tol = 0.0001 yes constr_viol_tol = 0.0001 yes linear_solver = mumps yes tol = 1e-08 yes ****************************************************************************** This program contains Ipopt, a library for large-scale nonlinear optimization. Ipopt is released as open source code under the Common Public License (CPL). For more information visit http://projects.coin-or.org/Ipopt ****************************************************************************** This is Ipopt version 3.5stable, running with linear solver mumps. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 0 Number of nonzeros in Lagrangian Hessian.............: 14751 Total number of variables............................: 3750 variables with only lower bounds: 3750 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 0 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 0 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 2.5777985e+00 0.00e+00 1.02e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 2.5688843e+00 0.00e+00 2.45e-02 -6.4 1.11e-02 - 9.76e-01 1.00e+00f 1 2 2.5726823e+00 0.00e+00 2.91e-02 -3.1 1.43e-01 - 8.93e-01 1.00e+00f 1 3 3.1306322e+00 0.00e+00 5.28e-02 -3.0 4.30e-01 - 2.76e-01 1.00e+00f 1 4 3.5906362e+00 0.00e+00 5.11e-02 -3.0 3.73e-01 - 4.63e-01 1.00e+00f 1 5 3.8841242e+00 0.00e+00 5.34e-02 -3.0 1.69e+00 - 7.70e-01 5.00e-01f 2 6 3.8389241e+00 0.00e+00 5.41e-02 -3.0 9.55e+01 - 1.89e-01 9.95e-03f 2 7 3.8218219e+00 0.00e+00 5.45e-02 -3.0 3.27e+01 - 3.92e-02 1.56e-02f 7 8 3.8419067e+00 0.00e+00 5.63e-02 -3.0 6.36e+00 - 1.00e+00 5.75e-02f 3 9 3.8487567e+00 0.00e+00 5.58e-02 -3.0 1.04e+01 - 1.09e-01 3.12e-02f 6 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 3.8514147e+00 0.00e+00 5.29e-02 -3.0 6.96e+00 - 1.00e+00 2.55e-02f 4 11 4.3649677e+00 0.00e+00 5.57e-02 -3.0 4.70e-01 - 1.00e+00 1.00e+00f 1 12 4.3551940e+00 0.00e+00 6.83e-02 -3.0 3.92e+01 - 1.00e+00 1.09e-02f 3 13 4.3470836e+00 0.00e+00 5.56e-02 -3.0 4.21e+00 - 2.37e-01 6.25e-02f 5 14 4.3497131e+00 0.00e+00 5.62e-02 -3.0 3.51e+00 - 1.00e+00 5.52e-02f 4 15 4.3534794e+00 0.00e+00 5.56e-02 -3.0 3.02e+00 - 4.68e-01 6.25e-02f 5 16 4.3463468e+00 0.00e+00 3.34e-02 -3.0 3.42e+00 - 1.00e+00 2.82e-02f 5 17 4.4034201e+00 0.00e+00 1.67e-02 -3.0 6.42e-02 - 1.00e+00 1.00e+00f 1 18 4.4071994e+00 0.00e+00 1.16e-03 -3.0 7.26e-03 - 1.00e+00 1.00e+00f 1 19 3.4914728e+00 0.00e+00 3.88e-02 -4.5 9.35e-01 - 1.00e+00 5.55e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 20 3.2038639e+00 0.00e+00 3.93e-02 -4.5 2.47e+00 - 2.15e-01 2.23e-01f 3 21 3.0323736e+00 0.00e+00 8.16e-02 -4.5 2.35e+01 - 1.00e+00 1.29e-02f 3 22 2.9492123e+00 0.00e+00 6.85e-02 -4.5 2.37e+00 - 3.26e-01 1.07e-01f 4 23 2.8863443e+00 0.00e+00 4.27e-02 -4.5 1.24e+01 - 7.67e-01 2.34e-02f 3 24 2.8187734e+00 0.00e+00 4.53e-02 -4.5 1.20e+00 - 6.86e-01 9.29e-01f 1 25 2.8161694e+00 0.00e+00 4.64e-02 -4.5 2.62e+02 - 1.00e+00 7.58e-03f 1 26 2.6780138e+00 0.00e+00 5.62e-02 -4.5 2.67e+00 - 7.14e-03 2.50e-01f 3 27 2.5802389e+00 0.00e+00 5.51e-02 -4.5 2.53e+02 - 3.76e-04 4.27e-03f 5 28 2.5679167e+00 0.00e+00 5.58e-02 -4.5 6.54e+00 - 7.66e-01 4.43e-02f 3 29 2.5619555e+00 0.00e+00 5.37e-02 -4.0 5.44e+00 - 8.49e-01 3.12e-02f 6 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 30 2.5516126e+00 0.00e+00 5.54e-02 -5.0 5.65e-01 - 1.00e+00 2.31e-01f 2 31 2.5501093e+00 0.00e+00 5.52e-02 -4.4 2.47e+00 - 1.00e+00 6.25e-02f 5 32 2.5452171e+00 0.00e+00 5.47e-02 -6.0 1.77e+00 - 1.00e+00 7.45e-02f 4 33 2.5427039e+00 0.00e+00 5.50e-02 -4.7 1.01e+00 - 1.00e+00 1.25e-01f 4 34 2.5381077e+00 0.00e+00 5.48e-02 -6.3 1.42e+00 - 1.00e+00 9.06e-02f 4 35 2.5354083e+00 0.00e+00 5.55e-02 -4.9 1.15e+00 - 1.00e+00 1.25e-01f 4 36 2.5313781e+00 0.00e+00 5.42e-02 -6.5 2.55e+00 - 1.00e+00 5.21e-02f 4 37 2.5274649e+00 0.00e+00 5.19e-02 -5.0 6.92e-01 - 1.00e+00 1.25e-01f 4 38 2.5162329e+00 0.00e+00 5.61e-02 -6.6 2.22e-01 - 1.00e+00 7.98e-01f 1 39 2.5115121e+00 0.00e+00 5.45e-02 -5.1 1.27e+01 - 1.00e+00 1.56e-02f 7 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 40 2.5103789e+00 0.00e+00 5.31e-02 -6.4 8.62e-01 - 1.00e+00 1.14e-01f 3 41 2.5086944e+00 0.00e+00 4.52e-02 -6.7 3.68e-01 - 1.00e+00 1.68e-01f 3 42 2.5067905e+00 0.00e+00 4.59e-02 -8.2 5.38e-02 - 1.00e+00 7.80e-01f 1 43 2.5060169e+00 0.00e+00 1.86e-02 -7.8 6.21e-02 - 1.00e+00 4.36e-01f 2 44 2.5057275e+00 0.00e+00 1.27e-03 -8.4 6.66e-03 - 1.00e+00 9.46e-01f 1 45 2.5056955e+00 0.00e+00 7.35e-06 -9.5 1.52e-03 - 1.00e+00 1.00e+00f 1 46 2.5056887e+00 0.00e+00 4.27e-08 -11.0 7.00e-04 - 1.00e+00 1.00e+00f 1 47 2.5056870e+00 0.00e+00 5.35e-09 -11.0 3.50e-04 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 47 (scaled) (unscaled) Objective...............: 2.5056870443172090e+00 2.5056870443172090e+00 Dual infeasibility......: 5.3487702114662916e-09 5.3487702114662916e-09 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.6030754260351336e-09 1.6030754260351336e-09 Overall NLP error.......: 5.3487702114662916e-09 5.3487702114662916e-09 Number of objective function evaluations = 263 Number of objective gradient evaluations = 48 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 0 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 0 Number of Lagrangian Hessian evaluations = 47 Total CPU secs in IPOPT (w/o function evaluations) = 2.136 Total CPU secs in NLP function evaluations = 16.921 EXIT: Optimal Solution Found. GAMS/Ipopt finished. --- Restarting execution --- minsurf75.gms(11313) 0 Mb --- Reading solution for model m *** Status: Normal completion --- Job minsurf75.gms Stop 09/21/08 05:44:47 elapsed 0:00:20.316