we discuss the nonstationary multisplittings and two-stage multisplittings to solve the linear systems of algebraic equations Ax = b when the coefficient matrix is a non-Hermitian positive definite matrix, and establish the convergence theories with general weighting matrices. This not only eliminat
Nonstationary two-stage multisplitting methods for symmetric positive definite matrices
β Scribed by Zhong-Yun Liu; Lu Lin; Chun-Chao Shi
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 506 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
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 multisplitting and related theoretical investigation is the diagonally compensated reduction (cf. [l]).
π SIMILAR VOLUMES
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.
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