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An improved generalized Newton method for absolute value equations.

Feng J, Liu S - Springerplus (2016)

Bottom Line: In this paper, we suggest and analyze an improved generalized Newton method for solving the NP-hard absolute value equations [Formula: see text] when the singular values of A exceed 1.We show that the global and local quadratic convergence of the proposed method.Numerical experiments show the efficiency of the method and the high accuracy of calculation.

View Article: PubMed Central - PubMed

Affiliation: School of Mathematics and Statistics, Xidian University, Xi'an, 710126 China ; Department of Engineering Management, Shaanxi Radio and TV University, Xi'an, 710119 China.

ABSTRACT
In this paper, we suggest and analyze an improved generalized Newton method for solving the NP-hard absolute value equations [Formula: see text] when the singular values of A exceed 1. We show that the global and local quadratic convergence of the proposed method. Numerical experiments show the efficiency of the method and the high accuracy of calculation.

No MeSH data available.


Comparison of NM, TM and INM for Example 2 with
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Fig2: Comparison of NM, TM and INM for Example 2 with

Mentions: We give below the convergence curves of three algorithms for solving Examples 1, 2 by Figs. 1 and 2. We can see that the convergence of the INM is better than NM’s and TM’s.Fig. 1


An improved generalized Newton method for absolute value equations.

Feng J, Liu S - Springerplus (2016)

Comparison of NM, TM and INM for Example 2 with
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4940360&req=5

Fig2: Comparison of NM, TM and INM for Example 2 with
Mentions: We give below the convergence curves of three algorithms for solving Examples 1, 2 by Figs. 1 and 2. We can see that the convergence of the INM is better than NM’s and TM’s.Fig. 1

Bottom Line: In this paper, we suggest and analyze an improved generalized Newton method for solving the NP-hard absolute value equations [Formula: see text] when the singular values of A exceed 1.We show that the global and local quadratic convergence of the proposed method.Numerical experiments show the efficiency of the method and the high accuracy of calculation.

View Article: PubMed Central - PubMed

Affiliation: School of Mathematics and Statistics, Xidian University, Xi'an, 710126 China ; Department of Engineering Management, Shaanxi Radio and TV University, Xi'an, 710119 China.

ABSTRACT
In this paper, we suggest and analyze an improved generalized Newton method for solving the NP-hard absolute value equations [Formula: see text] when the singular values of A exceed 1. We show that the global and local quadratic convergence of the proposed method. Numerical experiments show the efficiency of the method and the high accuracy of calculation.

No MeSH data available.