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A convergence analysis of SOR iterative methods for linear systems with weak H-matrices
- Source :
- Open Mathematics, Vol 14, Iss 1, Pp 747-760 (2016)
- Publication Year :
- 2016
- Publisher :
- De Gruyter, 2016.
-
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.
Details
- Language :
- English
- ISSN :
- 23915455
- Volume :
- 14
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Open Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.096fc8794e5547c98ab6e99e32718f45
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/math-2016-0065