The parallel multisplitting TOR (MTOR) method for linear systems
β Scribed by Da-Wei Chang
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 716 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, the parallel multisplitting TOR (MTOR) method ie proposed by Chang [l], for solving a large nonsingular system of linear equations AZ = b. The convergence theorem of the MTOR method is established under the condition that the coefficient matrix A is an H-matrix; our theorems improve and extend some known results. Finally, the numerical examples are given; they show that our algorithm is feasible and efficient.
π SIMILAR VOLUMES
Non-stationary parallel multisplitting iterative methods are introduced for the solution of almost linear systems. A non-stationary parallel algorithm based on the AOR-type methods and its extension to asynchronous models are considered. Convergence properties of the synchronous and asynchronous ver
The convergence of the multiplicative multisplitting-type method for solving the linear complementarity problem with an H-matrix is discussed using classical and new results from the theory of splitting. This directly results in a sufficient condition for guaranteeing the convergence of the multipli