Title
The BiCOR and CORS Iterative Algorithms for Solving Nonsymmetric Linear Systems
Abstract
We present two iterative algorithms for solving real nonsymmetric and complex non-Hermitian linear systems of equations and that were developed from variants of the nonsymmetric Lanczos method. In this paper, we give the theoretical background of the two iterative methods and discuss their main computational aspects. Using a large number of numerical experiments, we analyze their convergence properties, and we also compare them with other popular nonsymmetric iterative solvers in use today.
Year
DOI
Venue
2011
10.1137/100794031
SIAM J. Scientific Computing
Keywords
Field
DocType
convergence property,nonsymmetric lanczos method,numerical experiment,nonsymmetric linear systems,main computational aspect,large number,complex non-hermitian linear system,iterative algorithm,cors iterative algorithms,popular nonsymmetric iterative solvers,real nonsymmetric,iterative method,linear systems
Convergence (routing),Mathematical optimization,Lanczos resampling,Generalized minimal residual method,Preconditioner,Linear system,Matrix (mathematics),Iterative method,Algorithm,Mathematics
Journal
Volume
Issue
ISSN
33
5
1064-8275
Citations 
PageRank 
References 
9
0.62
10
Authors
3
Name
Order
Citations
PageRank
B. Carpentieri113612.01
Y.-F. Jing290.62
T.-Z. Huang3121.14