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Author:

Dong, J.-L. (Dong, J.-L..) | Jiang, M.-Q. (Jiang, M.-Q..)

Indexed by:

Scopus

Abstract:

By reformulating the linear complementarity problem into a new equivalent fixed-point equation, we deduce a modified modulus method, which is a generalization of the classical one. Convergence for this new method and the optima of the parameter involved are analyzed. Then, an inexact iteration process for this new method is presented, which adopts some kind of iterative methods for determining an approximate solution to each system of linear equations involved in the outer iteration. Global convergence for this inexact modulus method and two specific implementations for the inner iterations are discussed. Numerical results show that our new methods arc more efficient than the classical one under suitable conditions. © 2008 John Wiley & Sons, Ltd.

Keyword:

Inexact iterative method; Linear complementarity problem; Modulus method; Symmetric positive-definite matrix; System of linear equations

Author Community:

  • [ 1 ] [Dong, J.-L.]State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, China
  • [ 2 ] [Dong, J.-L.]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • [ 3 ] [Jiang, M.-Q.]School of Mathematical Sciences, Suzhou University, Suzhou 215006, China

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Source :

Numerical Linear Algebra with Applications

ISSN: 1070-5325

Year: 2009

Issue: 2

Volume: 16

Page: 129-143

4 . 3 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 163

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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