Convergence theorems for block splitting iterative methods for linear systems |
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Authors: | Rui-Ping Wen Chuan-Long Wang Guo-Yan Meng |
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Affiliation: | 1. Department of Mathematics, Taiyuan Teachers’ College, Taiyuan 030012, Shanxi Province, China;2. Department of Computer Science, Xinzhou Teachers’ College, China |
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Abstract: | In this paper, we will present the block splitting iterative methods with general weighting matrices for solving linear systems of algebraic equations Ax=b when the coefficient matrix A is symmetric positive definite of block form, and establish the convergence theories with respect to the general weighting matrices but special splittings. Finally, a numerical example shows the advantage of this method. |
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Keywords: | 65F10 65F50 CR:G1.3 |
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