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<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Hello,<o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">for a rather time critical application I limited the maximal iterations to 1. The IPOPT algorithm uses two function evaluations
(objective, gradient, inequality constraint, inequality constraint Jacobian), see below.
<o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">How does IPOPT need 2 function evaluations for 1 iteration?
<o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Is there an option in IPOPT to reduce the function evaluation to 1?<o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">This is Ipopt version 3.9stable, running with linear solver ma27.</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"></span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Number of nonzeros in equality constraint Jacobian...: 0</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Number of nonzeros in inequality constraint Jacobian.: 9180</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Number of nonzeros in Lagrangian Hessian.............: 0</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"></span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Total number of variables............................: 135</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"> variables with only lower bounds: 0</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"> variables with lower and upper bounds: 135</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"> variables with only upper bounds: 0</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Total number of equality constraints.................: 0</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Total number of inequality constraints...............: 136</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"> inequality constraints with only lower bounds: 0</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"> inequality constraints with lower and upper bounds: 136</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"> inequality constraints with only upper bounds: 0</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"></span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span style="font-size:10.0pt;font-family:"Courier New";color:black">iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls</span><span style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span style="font-size:10.0pt;font-family:"Courier New";color:black"> 0 1.1921264e+005 0.00e+000 1.56e+001 -1.0 0.00e+000 - 0.00e+000 0.00e+000 0</span><span style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span style="font-size:10.0pt;font-family:"Courier New";color:black"> 1 1.1203811e+005 8.57e-005 1.15e+001 -1.0 1.56e+001 - 1.00e+000 1.00e+000f 1</span><span style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span style="font-size:10.0pt;font-family:"Courier New";color:black"></span><span style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Number of Iterations....: 1</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"></span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"> (scaled) (unscaled)</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Objective...............: 1.1203811422501499e+005 1.1203811422501499e+005</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Dual infeasibility......: 1.1487321543176369e+001 1.1487321543176369e+001</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Constraint violation....: 0.0000000000000000e+000 0.0000000000000000e+000</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Complementarity.........: 1.1373351040396854e-001 1.1373351040396854e-001</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Overall NLP error.......: 1.1487321543176369e+001 1.1487321543176369e+001</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"></span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"> </span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Number of objective function evaluations = 2</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Number of objective gradient evaluations = 2</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Number of equality constraint evaluations = 0</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Number of inequality constraint evaluations = 2</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Number of equality constraint Jacobian evaluations = 0</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Number of inequality constraint Jacobian evaluations = 2</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Number of Lagrangian Hessian evaluations = 0</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Total CPU secs in IPOPT (w/o function evaluations) = 0.005</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">Total CPU secs in NLP function evaluations = 0.002</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black"></span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:"Courier New";color:black">EXIT: Maximum Number of Iterations Exceeded.</span><span lang="EN-US" style="font-size:12.0pt;font-family:"Courier New""><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US">Best Regards<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US">Simon</span><span style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US">-----------------------------------------------------<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US">Dipl.-Ing. Simon Altmannshofer<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US">Lehrstuhl für Regelungstechnik<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US">Technische Universität München<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US">Boltzmannstraße 15<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US">85748 Garching bei München<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US">Tel.: +49 (89) 289-15679<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US">Fax: +49 (89) 289-15653<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US">E-Mail:
<a href="mailto:tobias.kloiber@tum.de">simon.altmannshofer@tum.de</a><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.5pt;font-family:Consolas;mso-fareast-language:EN-US">Internet:
<a href="http://www.rt.mw.tum.de">www.rt.mw.tum.de</a><o:p></o:p></span></p>
<p class="MsoNormal"><o:p> </o:p></p>
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