Title
A multi-parameters preconditioned AOR iterative method for linear systems
Abstract
In order to improve the convergence rates of iterative method solving the linear system Ax=b, a preconditioned AOR iterative method with a multi-parameters preconditioner I+S∼α is proposed. Some convergence and comparison results for αi∈[0,1] are given when A is an L-matrix. When A is an H-matrix, the convergence of the corresponding methods is discussed for αi∈[0,αi′), where αi>1. Furthermore, effectiveness of the new preconditioner method is shown by numerical experiments. Numerical experiments show that our methods are superior to the basic AOR iterative methods.
Year
DOI
Venue
2008
10.1016/j.amc.2008.09.032
Applied Mathematics and Computation
Keywords
Field
DocType
Linear system,Preconditioner,L-Matrix,H-Matrix,AOR iterative method
Direct method,Linear system,Preconditioner,Iterative method,Matrix (mathematics),Mathematical analysis,Rate of convergence,Numerical analysis,Numerical linear algebra,Mathematics
Journal
Volume
Issue
ISSN
206
1
0096-3003
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Yao-Tang Li111215.13
Shunfeng Yang210.94