A dynamic model to solve the absolute value equations

被引：71

作者：

Mansoori, Amin ^{[1
]}

Erfanian, Majid ^{[2
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Appl Math, Mashhad, Iran

[2] Univ Zabol, Sch Math Sci, Dept Sci, Zabol, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2018年 / 333卷

关键词：

Absolute value equations; Linear complementarity problem; Dynamical system; Globally stable in the sense of Lyapunov; Globally convergent; GENERALIZED NEWTON METHOD; ITERATION METHOD; UNIQUE SOLVABILITY;

D O I：

10.1016/j.cam.2017.09.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the analytic solution of the absolute value equations (AVE) is investigated. As far as we know, there are some numerical methods to obtain the solution of the AVE. However, there is not a study on exact solution of the AVE. Here, we try to obtain the exact solution of the AVE based on a dynamical system model constructed by the projection function. Finally, the simulation results show the effectiveness and the accuracy of the method. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：28 / 35

页数：8

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