Table 4 Numerical results for Example 4.2 with \(\pmb{x_{0}=(0,4)}\)
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 | \(\begin{array}{@{}c@{}} (2.329741,\\ 3.177865 ) \end{array} \) | 5 | 0.1 | −0.002428 | 0.000408 | −5.507606 |
1 | \(\begin{array}{@{}c@{}} (2.329649,\\ 3.177847 ) \end{array} \) | 10 | 0.01 | −0.001698 | −0.000041 | −5.507496 |