Two-stage iterative methods for the solution of linear systems are studied. Convergence of both stationary and nonstationary cases is analyzed when the coefficient matrix is Hermitian positive definite.
Convergence of block two-stage iterative methods for symmetric positive definite systems
β Scribed by Zhi-Hao Cao
- Publisher
- Springer-Verlag
- Year
- 2001
- Tongue
- English
- Weight
- 122 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0029-599X
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This paper sets up the convergence theory of the two-stage iterative method for solving Hermitian positive definite systems of linear equations, and investigates the influences of the splitting matrices and the inner iteration number on the asymptotic convergence rate of this method. geywords--Linea
Nonstationary synchronous two-stage multisplitting methods for the solution of the symmetric positive definite linear system of equations are considered. The convergence properties of these methods are studied. Relaxed variants are also discussed. The main tool for the construction of the two-stage