Convergence Domains of AOR Type Iterative Matrices for Solving Non-Hermitian Linear Systems

Convergence Domains of AOR Type Iterative Matrices for Solving Non-Hermitian Linear Systems

Year:    2004

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 6 : pp. 817–832

Abstract

We discuss AOR type iterative methods for solving non-Hermitian linear systems based on Hermitian splitting and skew-Hermitian splitting. Convergence domains of iterative matrices are given and optimal parameters are investigated for skew-Hermitian splitting. Numerical examples are presented to compare the effectiveness of the iterative methods in different points in the domain. In addition, a model problem of three-dimensional convection-diffusion equation is used to illustrate the application of our results.  

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JCM-10287

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 6 : pp. 817–832

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Convergence AOR type iterative methods Skew-Hermitian splitting Hermitian splitting Linear systems.