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Table 1 Numerical results for Example 4.1 with \(x^{0}=(0,0,0,0)\)

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

j \(x^{j+1}\) \(q_{j}\) \(\epsilon_{j}\) \(f_{1}(x^{j+1})\) \(f_{2}(x^{j+1})\) \(f_{3}(x^{j+1})\) \(f_{0}(x^{j+1})\)
0 (0.185009,0.804369,2.015460,−0.952409) 1 0.01 −4.797079 −0.00109 −2.028111 −44.225926
1 (0.169902,0.835670,2.008151,−0.965196) 2 0.0001 −9.748052 −9.337847 −1.883271 −44.231252