Table 5 Numerical results for Example 4.2 with \(\pmb{x_{0}=(1.0,1.5)}\)
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 | \(\begin{array}{@{}c@{}} (2.329625,\\ 3.178285 ) \end{array} \) | 5 | 0.1 | −0.001067 | 0.000286 | −5.507911 |
1 | \(\begin{array}{@{}c@{}} (2.329538,\\ 3.178429 ) \end{array} \) | 10 | 0.01 | −0.000208 | 0.000019 | −5.507967 |
2 | \(\begin{array}{@{}c@{}} (2.329517,\\ 3.178421 ) \end{array} \) | 20 | 0.001 | −0.000049 | −0.000085 | −5.507938 |