NAG Library Manual, Mark 28.3
Interfaces:  FL   CL   CPP   AD 

NAG CPP Interface Introduction
Example description

                                                                                
 ------------------------------------------------------------------------------ 
  E04ST, Interior point method for large-scale nonlinear optimization problems  
 ------------------------------------------------------------------------------ 
                                                                                
 Begin of Options                                                               
     Print File                    =                  50     * U                
     Print Level                   =                   2     * U                
     Monitoring File               =                  51     * U                
     Monitoring Level              =                   5     * U                
 
     Infinite Bound Size           =         1.00000E+20     * d                
     Task                          =            Minimize     * d                
     Stats Time                    =                  No     * d                
     Time Limit                    =         6.00000E+01     * U                
     Verify Derivatives            =                  No     * d                
 
     Hessian Mode                  =                Auto     * d                
     Matrix Ordering               =                Auto     * d                
     Outer Iteration Limit         =                  26     * U                
     Stop Tolerance 1              =         2.50000E-08     * U                
 End of Options                                                                 
                                                                                

******************************************************************************
This program contains Ipopt, a library for large-scale nonlinear optimization.
 Ipopt is released as open source code under the Eclipse Public License (EPL).
         For more information visit http://projects.coin-or.org/Ipopt
******************************************************************************

This version is built and supported by Numerical Algorithms Group (NAG) Ltd.  
                 For support email support@nag.co.uk
******************************************************************************

This is Ipopt version 3.12.4, running with linear solver ma97.

Number of nonzeros in equality constraint Jacobian...:        4
Number of nonzeros in inequality constraint Jacobian.:        8
Number of nonzeros in Lagrangian Hessian.............:       10

Total number of variables............................:        4
                     variables with only lower bounds:        4
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:        1
Total number of inequality constraints...............:        2
        inequality constraints with only lower bounds:        2
   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  1.3080000e+02 3.00e+00 5.90e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
   1  7.8782624e+01 9.98e-01 2.36e-01  -1.0 4.00e+01    -  9.67e-01 6.67e-01f  1
   2  3.6879120e+01 0.00e+00 1.51e+00  -1.0 4.87e+01    -  5.06e-01 1.00e+00f  1
   3  2.9955743e+01 0.00e+00 7.36e-02  -1.0 1.38e+01    -  1.00e+00 9.87e-01f  1
   4  2.9945313e+01 0.00e+00 3.98e-05  -1.7 8.36e-02    -  1.00e+00 1.00e+00h  1
   5  2.9895752e+01 1.81e-04 1.15e-02  -3.8 5.43e-02    -  9.54e-01 9.93e-01f  1
   6  2.9894810e+01 0.00e+00 9.79e-07  -3.8 2.48e-03    -  1.00e+00 1.00e+00h  1
   7  2.9894383e+01 0.00e+00 3.63e-08  -5.7 5.21e-04    -  1.00e+00 1.00e+00h  1
   8  2.9894378e+01 0.00e+00 6.72e-12  -8.6 7.11e-06    -  1.00e+00 1.00e+00h  1

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   2.9894378048973934e+01    2.9894378048973934e+01
Dual infeasibility......:   6.7175978109862574e-12    6.7175978109862574e-12
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   2.5601472143227907e-09    2.5601472143227907e-09
Overall NLP error.......:   2.5601472143227907e-09    2.5601472143227907e-09


Number of objective function evaluations             = 9
Number of objective gradient evaluations             = 9
Number of equality constraint evaluations            = 9
Number of inequality constraint evaluations          = 9
Number of equality constraint Jacobian evaluations   = 9
Number of inequality constraint Jacobian evaluations = 9
Number of Lagrangian Hessian evaluations             = 8
Total CPU secs in IPOPT (w/o function evaluations)   =      0.018
Total CPU secs in NLP function evaluations           =      0.000

EXIT: Optimal Solution Found.