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Table 1 The GNIM numerical results for Example 4.1 with initial \(\pmb{z_{(1)}^{0}}\)

From: A generalized Newton method of high-order convergence for solving the large-scale linear complementarity problem

  

The performance of numerical results

The solution pairs \(\boldsymbol {(u^{*},w^{*})}\)

n = 3

It

3

u∗ = (0.3571,0.4286,0.3571)

CPU

0.0068

 

RES

0

w∗ = (0,0,0)

n = 5

It

3

u∗ = (0.3654,0.4615,0.4808,0.4615,0.3654)

CPU

0.0073

 

RES

0

w∗ = 1.0e − 015∗(0.4441,0,0,0,0)

n = 8

It

3

\(\begin{array}{lcl}u*&=&(0.3660,0.4641,0.4902,0.4967,\\ &&{}0.4967,0.4902,0.4641,0.3660) \end{array}\)

CPU

0.0074

 

RES

0

w∗ = (0,0,0,0,0,0,0,0)

n = 10

It

3

\(\begin{array}{lcl}u*&=&(0.3660,0.4641,0.4904,0.4974,0.4991,\\ &&{}0.4991,0.4974,0.4904,0.4641,0.3660) \end{array}\)

CPU

0.0075

 

RES

0

\(\begin{array}{lcl} w*&=&1.0e\!-\!015*(-0.1110,0.4441,-0.4441,\\ &&{}0,0,0,0.2220,0,0,0) \end{array}\)