Convergence analysis of the parallel multisplitting TOR method

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:72

Article

Chang, DW

关键词: multisplitting;    parallel multisplitting TOR method;    H-matrix;    convergence;    iterative method;   

DOI  :  10.1016/0377-0427(95)00270-7

来源: Elsevier

【 摘 要 】

In this paper,we propose the parallel multisplitting TOR method, for solving a large nonsingular systems of linear equations Ax = b. These new methods are a generalization and an improvement of the relaxed parallel multisplitting method (Formmer and Mager, 1989) and parallel multisplitting AOR Algorithm (Wang Deren, 1991). The convergence theorem of this new algorithm is established under the condition that the coefficient matrix A of linear systems is an H-matrix. Some results also yield new convergence theorem for TOR method.

【 授权许可】

Free