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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