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Table 7 Numerical results for Example 4.3 with \(x^{0}=(0,0)\)

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 (2.329795,3.133729) 5 10−2 −0.047009 −0.043471 −5.463524
1 (2.329238,3.173320) 10 10−4 −0.002868 −0.006501 −5.502557
2 (2.329452,3.177637) 20 10−6 −0.000302 −0.001176 −5.507089
3 (2.329626,3.177558) 40 10−8 −0.001802 −0.000436 −5.507185