<html><head><meta http-equiv="Content-Type" content="text/html charset=us-ascii"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; ">dear all:<div>please help me ...<br><div><br></div><div>I am new for ipopt, and i am not understand the <span style="color: rgb(67, 67, 67); font-family: Arial, sans-serif; font-size: 14.44444465637207px; line-height: 23.99305534362793px; ">Mathematical Theory</span> of nlp. </div><div> now,I have to use ipopt to solve a <span class="contentTitle" style="font-weight: bold; margin-right: 0.5em; font-family: Arial, sans-serif; line-height: 23.99305534362793px; "><a class="search-js" href="http://dict.youdao.com/w/practical/" ,="" style="outline: 0px; text-decoration: none; ">practical</a></span><span style="font-family: Arial, sans-serif; line-height: 23.99305534362793px; "> </span><span style="font-family: Arial, sans-serif; line-height: 23.99305534362793px; line-height: 23.99305534362793px;"></span><span style="font-family: Arial, sans-serif; line-height: 23.99305534362793px; line-height: 23.99305534362793px;"></span><span class="contentTitle" style="font-weight: bold; margin-right: 0.5em; font-family: Arial, sans-serif; line-height: 23.99305534362793px; "><a class="search-js" href="http://dict.youdao.com/w/problem/" ,="" style="outline: 0px; text-decoration: none; ">problem</a> .</span></div><div><span class="contentTitle" style="font-weight: bold; margin-right: 0.5em; font-family: Arial, sans-serif; font-size: 14.44444465637207px; line-height: 23.99305534362793px; ">but i find the var z_U is too large for my result, and i doubt whether it is correct . </span></div><div><br></div><div><div>z_U[3474] = 1.2888e-14</div><div>z_U[3475] = 8.25948e-15</div><div>z_U[3476] = 7.55577e-17</div><div>z_U[3477] = 1.63332e-14</div><div>z_U[3478] = 5.95928e-15</div><div>z_U[3479] = 5.00774e-14</div><div>z_U[3480] = 6.23147e-14</div><div>z_U[3481] = 3.7331e-16</div><div>z_U[3482] = 1.32901e-13</div><div>z_U[3483] = 1.17351e-14</div><div>z_U[3484] = 3.29264e-15</div><div>z_U[3485] = 8.17356e-15</div><div>z_U[3486] = 1.03979e-15</div><div><font color="#b51a00">z_U[3487] = 1.3004</font></div><div><font color="#b51a00">z_U[3488] = 1.3004</font></div><div><font color="#b51a00">z_U[3489] = 1.3004</font></div><div><font color="#b51a00">z_U[3490] = 1.3004</font></div><div><font color="#b51a00">z_U[3491] = 1.3004</font></div><div><font color="#b51a00">z_U[3492] = 1.3004</font></div><div><font color="#b51a00">z_U[3493] = 1.3004</font></div><div><font color="#b51a00">z_U[3494] = 1.3004</font></div><div>z_U[3495] = 1.09812e-14</div></div></div><div><br></div><div>iterator info.</div><div><br></div><div><div>Number of nonzeros in Lagrangian Hessian.............: 4026</div><div><br></div><div>Total number of variables............................: 4026</div><div> variables with only lower bounds: 0</div><div> variables with lower and upper bounds: 4026</div><div> variables with only upper bounds: 0</div><div>Total number of equality constraints.................: 22</div><div>Total number of inequality constraints...............: 232</div><div> inequality constraints with only lower bounds: 0</div><div> inequality constraints with lower and upper bounds: 232</div><div> inequality constraints with only upper bounds: 0</div><div><br></div><div>iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls</div><div> 0 2.1888251e+07 4.98e+06 4.33e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0</div><div> 1 2.1083709e+07 4.82e+06 2.41e+01 4.6 3.60e+07 - 1.27e-03 3.22e-02f 1</div><div> 2 2.0500231e+07 4.63e+06 2.32e+01 4.1 3.40e+07 - 2.61e-02 3.82e-02f 1</div><div> 3 1.8415377e+07 4.16e+06 2.08e+01 4.1 3.16e+07 - 2.08e-02 1.02e-01f 1</div><div> 4 1.7745569e+07 3.99e+06 1.93e+02 4.9 2.58e+07 - 1.00e+00 4.04e-02f 1</div><div> 5 1.5606627e+07 3.15e+06 2.32e+02 -1.1 2.38e+07 - 7.12e-02 2.10e-01f 1</div><div> 6 1.3618871e+07 2.18e+06 2.12e+02 4.3 1.40e+07 - 8.97e-02 3.08e-01f 1</div><div> 7 1.4486968e+07 2.02e+06 5.98e+02 6.2 7.42e+06 - 2.23e-01 7.64e-02f 1</div><div> 8 1.4537437e+07 1.02e+06 4.89e+02 5.0 3.56e+06 - 2.24e-01 4.96e-01f 1</div><div> 9 1.5084801e+07 5.69e+05 2.78e+02 4.7 4.14e+06 - 4.31e-01 4.40e-01f 1</div><div>iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls</div><div> 10 1.5871058e+07 2.31e+05 1.08e+02 4.3 4.84e+06 - 6.08e-01 5.94e-01h 1</div><div> 11 1.5502517e+07 3.79e+04 1.05e+01 4.4 3.87e+06 - 8.98e-01 8.36e-01h 1</div><div> 12 1.3386722e+07 4.19e-09 3.62e-01 4.0 1.72e+06 - 9.94e-01 1.00e+00f 1</div><div> 13 1.1503001e+07 9.31e-10 8.51e-02 3.6 2.14e+05 - 9.95e-01 1.00e+00f 1</div><div> 14 1.0527259e+07 1.86e-09 2.15e-03 3.3 4.72e+04 - 1.00e+00 1.00e+00f 1</div><div> 15 1.0055318e+07 4.66e-09 1.08e-02 3.0 2.87e+04 - 9.95e-01 1.00e+00f 1</div><div> 16 9.8158750e+06 3.73e-09 2.22e-15 2.7 1.76e+04 - 1.00e+00 1.00e+00f 1</div><div> 17 9.7005333e+06 6.52e-09 1.55e-03 2.5 1.05e+04 - 9.99e-01 1.00e+00f 1</div><div> 18 9.6237545e+06 6.52e-09 7.17e-02 2.0 9.34e+03 - 9.51e-01 1.00e+00f 1</div><div> 19 9.5920616e+06 4.66e-09 2.38e-01 1.2 5.58e+03 - 8.20e-01 1.00e+00f 1</div><div>iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls</div><div> 20 9.5863056e+06 9.31e-10 4.43e-03 0.7 1.53e+03 - 9.95e-01 1.00e+00f 1</div><div> 21 9.5845767e+06 2.79e-09 5.33e-02 -5.2 6.89e+02 - 8.13e-01 9.84e-01f 1</div><div> 22 9.5845125e+06 3.73e-09 6.21e-04 -0.8 1.32e+02 - 9.93e-01 1.00e+00f 1</div><div> 23 9.5844699e+06 3.73e-09 1.62e-03 -6.7 5.12e+01 - 9.40e-01 9.88e-01f 1</div><div> 24 9.5844691e+06 2.33e-09 6.86e-04 -3.8 1.07e+01 - 9.53e-01 1.00e+00f 1</div><div> 25 9.5844691e+06 4.66e-09 5.26e-05 -4.5 1.98e+00 - 9.89e-01 1.00e+00f 1</div><div> 26 9.5844691e+06 7.45e-09 3.16e-06 -6.5 1.53e-01 - 9.94e-01 1.00e+00f 1</div><div>In iteration 26, 11 Slacks too small, adjusting variable bounds</div><div> 27 9.5844691e+06 6.05e-09 6.32e-10 -11.0 2.43e-03 - 1.00e+00 1.00e+00h 1</div></div><div><div><br></div><div>Number of Iterations....: 27</div><div><br></div><div> (scaled) (unscaled)</div><div>Objective...............: 9.5844690615889486e+06 9.5844690615889486e+06</div><div>Dual infeasibility......: 6.3165569158340598e-10 6.3165569158340598e-10</div><div>Constraint violation....: 6.0535967350006104e-09 6.0535967350006104e-09</div><div>Complementarity.........: 4.0663367799099379e-08 4.0663367799099379e-08</div><div>Overall NLP error.......: 4.0663367799099379e-08 4.0663367799099379e-08</div><div><br></div><div><br></div><div>Number of objective function evaluations = 28</div><div>Number of objective gradient evaluations = 28</div><div>Number of equality constraint evaluations = 28</div><div>Number of inequality constraint evaluations = 28</div><div>Number of equality constraint Jacobian evaluations = 28</div><div>Number of inequality constraint Jacobian evaluations = 28</div><div>Number of Lagrangian Hessian evaluations = 27</div><div>Total CPU secs in IPOPT (w/o function evaluations) = 0.659</div><div>Total CPU secs in NLP function evaluations = 0.240</div><div><br></div><div>EXIT: Optimal Solution Found.</div><div><br></div><div><br></div><div>Solution of the primal variables, x</div><div>x[0] = 215.824</div><div>x[1] = 1114.39</div></div></body></html>