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.
The convergence of the two-stage iterative method for Hermitian positive definite linear systems
β Scribed by Zhong-Zhi Bai
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 290 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
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--Linear system of equations, Two-stage iterative method, Hermitian positive definite matrix, Convergence theory, Asymptotic convergence rate.
π SIMILAR VOLUMES
We study the HSS iteration method for large sparse non-Hermitian positive definite Toeplitz linear systems, which first appears in Bai, Golub and Ng's paper published in 2003 [Z.-Z. Bai, G.H. Golub, M.K. Ng, Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear sy
## Abstract General stationary iterative methods with a singular matrix __M__ for solving rangeβHermitian singular linear systems are presented, some convergence conditions and the representation of the solution are also given. It can be verified that the general OrtegaβPlemmons theorem and Keller