On inexact hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
โ Scribed by Zhong-Zhi Bai; Gene H. Golub; Michael K. Ng
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 295 KB
- Volume
- 428
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## a b s t r a c t In this paper, we first present a local Hermitian and skew-Hermitian splitting (LHSS) iteration method for solving a class of generalized saddle point problems. The new method converges to the solution under suitable restrictions on the preconditioning matrix. Then we give a modi
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
Arnoldi's method and the Incomplete Orthogonalization Method (IOM) for large non-Hermitian linear systems are studied. It is shown that the inverse of a general nonsingular j x j Hessenberg matrix can be updated in O(j 2) flops from that of its (j -1) x (j -1) principal snbma~ trix. The updating rec