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Table 2 Numerical results for Example 4.1 with \(x^{0}=(2,0,3.5,0)\)

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 (0.169693,0.835634,2.008291,−0.965082) 1 0.01 −9.502428 −8.676884 −1.883244 −44.231403