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Table 6 Numerical results for Example 4.2 with \(k=\frac{8}{9}\)

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

(2.6356,2.3168)

2

0.001

2.9523

−0.0020

−13.7027

1

(0.8005,1.1995)

20

0.000001

0.0000

−0.4015

−7.2000