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Table 8 Numerical results for Example 4.3 with \(x^{0}=(1.0,1.5)\)

From: Smoothing approximation to the lower order exact penalty function for inequality constrained optimization

j \(x^{j+1}\) \(q_{j}\) \(\epsilon_{j}\) \(f_{1}(x^{j+1})\) \(f_{2}(x^{j+1})\) \(f_{0}(x^{j+1})\)
0 (2.330261,3.061875) 5 10−1 −0.1226776 −0.1131323 −5.392137
1 (2.329664,3.161611) 15 10−2 −0.018055 −0.016207 −5.491275
2 (2.329639,3.171941) 45 10−3 −0.007524 −0.005993 −5.501580
3 (2.329560,3.177804) 135 10−4 −0.001013 −0.000503 −5.507363
4 (2.329593,3.177793) 405 10−5 −0.001297 −0.000357 −5.507386
5 (2.329622,3.177781) 1215 10−6 −0.001544 −0.000234 −5.507403