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Table 3 Numerical results for Example 4.1 with \(x^{0}=(2,2,2,0.5)\)

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

j

\(x^{j+1}\)

\(q_{j}\)

\(\epsilon_{j}\)

\(f_{1}(x^{j+1})\)

\(f_{2}(x^{j+1})\)

\(f_{3}(x^{j+1})\)

\(f_{0}(x^{j+1})\)

0

(0.169691,0.835633,2.008294,−0.965080)

1

0.01

−9.502279

−8.676796

−1.883249

−44.231403