A Preconditioned Multisplitting and Schwarz Method for Linear Complementarity Problem | Zendy

Cuiyu Liu | Zendy; Chenliang Li | Zendy

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A Preconditioned Multisplitting and Schwarz Method for Linear Complementarity Problem

Author(s) -

Cuiyu Liu,

Chenliang Li

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/519017

Subject(s) - preconditioner , linear complementarity problem , schwarz alternating method , coefficient matrix , mathematics , rate of convergence , additive schwarz method , complementarity (molecular biology) , mathematical optimization , matrix (chemical analysis) , convergence (economics) , iterative method , computer science , finite element method , domain decomposition methods , eigenvalues and eigenvectors , nonlinear system , materials science , composite material , genetics , biology , quantum mechanics , thermodynamics , physics , channel (broadcasting) , economic growth , computer network , economics

The preconditioner presented by Hadjidimos et al. (2003) can improve on the convergence rate of the classical iterative methods to solve linear systems. In this paper, we extend this preconditioner to solve linear complementarity problems whose coefficient matrix is M-matrix or H-matrix and present a multisplitting and Schwarz method. The convergence theorems are given. The numerical experiments show that the methods are efficient

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