线性互补问题与绝对值方程的转化

Journal of Jilin University Science Edition

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Transformation of Linear Complementarity Problemand Absolute Value Equation

YONG Longquan^1,2, LIU Sanyang¹, TUO Shouheng², DENG Fang’an2, GAO Kai²

1. School of Mathematics and Statistics, Xidian University, Xi’an 710071, China; 2. School of Mathematicsand Computer Science, Shaanxi University of Technology, Hanzhong 723001, Shaanxi Province, China

Received:2013-09-22 Online:2014-07-26 Published:2014-09-26
Contact: YONG Longquan E-mail:yonglongquan@126.com

Abstract

Abstract:

The conditions of the existence of the solutions of linear complementarity problem and absolute value equation were given. The transformations between linear complementarity problem and absolute value equation were studied, including unconditional and conditional transformations. The idea of solving linear complementarity problem or absolute value equation was presented.

Key words: linear complementarity problem, absolute value equation, positive definite matrix, eigenvalue

CLC Number:

O221

YONG Longquan, LIU Sanyang, TUO Shouheng, DENG Fang’an, GAO Kai. Transformation of Linear Complementarity Problemand Absolute Value Equation[J].Journal of Jilin University Science Edition, 2014, 52(04): 682-686.

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Transformation of Linear Complementarity Problemand Absolute Value Equation

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