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Table 1 Numerical results for Example  5.1 with \(\pmb{x^{0}=(0,1,1)}\)

From: A smoothing inexact Newton method for variational inequalities with nonlinear constraints

 

Example  5.1

k

\(\boldsymbol {x_{1}} \)

\(\boldsymbol {x_{2}} \)

\(\boldsymbol {x_{3}} \)

\(\boldsymbol {\Vert H(\mu^{k},w^{k}) \Vert } \)

1

1.6663

0.1527

0.7730

4.0941

2

1.6460

0.3416

0.0000

2.9087

3

1.6431

0.3212

0.0000

1.7601

4

1.2659

0.3957

0.0000

0.8018

5

1.0386

0.1050

0.0007

0.2139

6

1.0019

0.0174

0.0008

0.0301

7

1.0021

0.0005

0.0000

0.0043

8

1.0003

0.0000

0.0000

7.2097e–04

9

1.0000

0

0

1.8416e–05

10

1.0000

0.0000

0.0000

9.6147e–06