Table 3 Numerical results for Example 4.2 with \(\pmb{x_{0}=(2.5,0)}\)
From: Smoothing of the lower-order exact penalty function for inequality constrained optimization
k | \(\boldsymbol {x_{k}^{*}}\) | \(\boldsymbol {q_{k}}\) | \(\boldsymbol {\epsilon_{k}}\) | \(\boldsymbol {g_{1}(x_{k}^{*})}\) | \(\boldsymbol {g_{2}(x_{k}^{*})}\) | \(\boldsymbol {f(x_{k}^{*})}\) |
|---|---|---|---|---|---|---|
0 | \(\begin{array}{c} (2.329720,\\ 3.177613 ) \end{array} \) | 5 | 0.1 | −0.002508 | 0.000057 | −5.507333 |
1 | \(\begin{array}{@{}c@{}} ( 2.329648,\\ 3.177624 ) \end{array} \) | 10 | 0.01 | −0.001917 | −0.000266 | −5.507273 |
2 | \(\begin{array}{@{}c@{}} ( 2.329674,\\ 3.177610 ) \end{array} \) | 20 | 0.001 | −0.002136 | −0.000163 | −5.507283 |