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Table 9 Numerical results for Example 4.3 with \(x^{0}=(2,0.5)\)

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

j

\(x^{j+1}\)

\(q_{j}\)

\(\epsilon_{j}\)

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

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

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

0

(2.330460,3.179900)

2

10−5

−0.006287

0.005832

−5.510360

1

(2.329672,3.179735)

20

10−8

−0.000001

0.001957

−5.509408

2

(2.329672,3.179735)

200

10−11

−0.000000

0.001957

−5.509407

3

(2.329541,3.178391)

2000

10−14

−0.000000

−0.000000

−5.507933