| 摘要: |
| 本文研究了M-矩阵Sylvester方程的数值解法,这类矩阵方程广泛出现在科学计算和工程应用的许多领域.利用M-矩阵的性质和Smith方法的思想,提出了一类Smith-like迭代法以求解M-矩阵Sylvester方程,并给出了新方法的收敛性分析. 数值实验表明, 新方法是可行的,而且在一定条件下也是较为有效的. |
| 关键词: Sylvester 方程 M-矩阵 Smith方法 |
| DOI： |
| 分类号:O241.6 |
| 基金项目: |
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| A CLASS OF SMITH-LIKE ITERATION METHOD FOR M-MATRIX SYLVESTER EQUATIONS |
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GUAN Jin-rui, WANG Zhi-xin, REN Fu-jiao
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School of Mathematics and Statistics, Taiyuan Normal University, Shanxi 030619, China
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| Abstract: |
| This paper considers numerical methods for solving M-matrix Sylvester equations, which are widely encountered in many fields of scientific computing and engineering applications. Based on the properties of M-matrix and the idea of Smith method, a class of Smith-like iteration method is proposed to solve M-matrix Sylvester equations, and convergence analysis of the new method is given. Numerical experiments show that the proposed method is feasible and is effective under certain conditions. |
| Key words: Sylvester equation M-matrix Smith method |
