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Semiconvergence of P-regular splittings for solving singular linear systems.
- Source :
-
Calcolo . Dec2008, Vol. 45 Issue 4, p247-261. 15p. 1 Chart. - Publication Year :
- 2008
-
Abstract
- We investigate necessary and sufficient conditions for semiconvergence of a splitting for solving singular linear systems, where the coefficient matrix A is a singular EP matrix. When A is a singular Hermitian matrix, necessary and sufficient conditions for semiconvergence of P-regular splittings are given, which generalize known results. As applications, the necessary and sufficient conditions for semiconvergence of block AOR and SSOR iterative methods are derived. A numerical example is given to illustrate the theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00080624
- Volume :
- 45
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Calcolo
- Publication Type :
- Academic Journal
- Accession number :
- 35661589
- Full Text :
- https://doi.org/10.1007/s10092-008-0154-3