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On the convergence of additive and multiplicative splitting iterations for systems of linear equations
- Source :
-
Journal of Computational & Applied Mathematics . May2003, Vol. 154 Issue 1, p195. 20p. - Publication Year :
- 2003
-
Abstract
- We study convergence conditions for the additive and the multiplicative splitting iteration methods, i.e., two generalizations of the additive and the multiplicative Schwarz iterations, for Hermitian and non-Hermitian systems of linear equations, under an algebraic setting. Theoretical analyses show that when the coefficient and the splitting matrices are Hermitian, or non-Hermitian but diagonalizable, satisfying mild conditions, both additive and multiplicative splitting iteration methods are convergent, even if the coefficient matrix is indefinite. [Copyright &y& Elsevier]
- Subjects :
- *ITERATIVE methods (Mathematics)
*MATHEMATICAL functions
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 154
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 9498636
- Full Text :
- https://doi.org/10.1016/S0377-0427(02)00822-1