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Table 6 Numerical results for Example 4.3

From: Smoothing of the lower-order exact penalty function for inequality constrained optimization

j

\(\boldsymbol {x_{j}^{*}}\)

\(\boldsymbol {q_{j}}\)

\(\boldsymbol {\epsilon_{j}}\)

\(\boldsymbol {e_{j}}\)

\(\boldsymbol {f(x_{j}^{*})}\)

0

\(\begin{array}{@{}c@{}} ( 1.620510, 8.377264 , \\ 0.013437, 0.606651\\ 1.000285,7.390398) \end{array} \)

100

0.5

−0.000017

116.968612

1

\(\begin{array}{@{}c@{}} (1.620468, 8.379530 , \\ 0.013229, 0.607246\\ 0.999994, 7.392764 ) \end{array} \)

200

0.005

0.000000

117.000044