1. A convergence analysis of SOR iterative methods for linear systems with weak H-matrices
- Author
-
Zhang Cheng-yi, Xue Zichen, and Luo Shuanghua
- Subjects
convergence ,weak h-matrices ,nonstricly diagonally dominant matrices ,diagonally dominant matrices ,diagonally equipotent matrices ,sor iterative methods ,15a06 ,15a18 ,15a42 ,Mathematics ,QA1-939 - Abstract
It is well known that SOR iterative methods are convergent for linear systems, whose coefficient matrices are strictly or irreducibly diagonally dominant matrices and strong H-matrices (whose comparison matrices are nonsingular M-matrices). However, the same can not be true in case of those iterative methods for linear systems with weak H-matrices (whose comparison matrices are singular M-matrices). This paper proposes some necessary and sufficient conditions such that SOR iterative methods are convergent for linear systems with weak H-matrices. Furthermore, some numerical examples are given to demonstrate the convergence results obtained in this paper.
- Published
- 2016
- Full Text
- View/download PDF