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Table 2 Numerical results for Example  5.2 with \(\pmb{x^{0}=(0,0,0,0)}\)

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

 

Example  5.2

 

k

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

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

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

\(\boldsymbol {x_{4}} \)

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

1

0.3330

1.0661

4.0792

−4.3984

0.7137

2

3.7727

3.2371

5.7749

−2.3704

0.4308

3

1.8029

2.4677

2.9939

−1.3529

0.1151

4

0.6067

1.7571

2.2497

−0.9003

0.0399

5

0.4095

1.1936

2.1080

−0.7000

0.0076

6

0.0093

1.0500

2.1182

−0.8442

0.0045

7

0.0009

0.9994

2.0014

−0.9991

7.8889e–04

8

0.0002

1.0000

2.0005

−1.0000

3.2619e–05

9

0.0000

1.0000

2.0000

−1.0000

1.3066e–06