Title
Main Convergence Theorems For The Improved Sor Method With Orderings
Abstract
To solve non-symmetric linear equations, we have already proposed a generalized SOR method, named the "improved SOR method with orderings", and if we use special relaxation parameters and proper orderings, then our method converges more rapidly and with fewer iterations than the usual SOR method. In this paper, we consider main convergence theorems for the improved SOR method with orderings and obtain useful convergence theorems for the cases of tridiagonal matrices and also block tridiagonal matrices which are "decomposable to the tridiagonal matrices".
Year
DOI
Venue
1998
10.1080/00207169808804630
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Keywords
Field
DocType
main convergence theorems, improved SOR method with orderings
Convergence (routing),Tridiagonal matrix,Convection–diffusion equation,Linear equation,Mathematical optimization,Linear system,Mathematical analysis,Matrix (mathematics),Mathematics
Journal
Volume
Issue
ISSN
66
1-2
0020-7160
Citations 
PageRank 
References 
1
0.63
1
Authors
2
Name
Order
Citations
PageRank
Emiko Ishiwata1349.71
Yoshiaki Muroya23710.18