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广义绝对值方程

龚成 戴培良

Journal of Changshu Institute of Technology2011,Vol.25Issue(8):27-30,4.
Journal of Changshu Institute of Technology2011,Vol.25Issue(8):27-30,4.

广义绝对值方程

Generalized Absolute Value Equations

龚成 1戴培良1

作者信息

  • 1. 常熟理工学院数学与统计学院,江苏常熟215500
  • 折叠

摘要

Abstract

This paper is concerned with the generalized absolute value equations. It shows that the generalized absolute value equations are equivalent to the generalized linear complementarity problem and a bilinear program. Existence results of the generalized absolute value equations solution are obtained and the results of Mangasarian in [2] are improved. Some necessary and sufficient conditions are given. An iterative algorithm is proposed for the generalized absolute value equations. Theoretic analysis and numerical results show that the method is effective.

关键词

广义绝对值方程/广义线性互补问题/迭代算法

Key words

generalized absolute value equations/generalized linear complementarity problem/iterative algorithm

分类

数理科学

引用本文复制引用

龚成,戴培良..广义绝对值方程[J].Journal of Changshu Institute of Technology,2011,25(8):27-30,4.

Journal of Changshu Institute of Technology

1008-2794

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