数学杂志2023，Vol.43Issue(5)：389-397,9.
M-矩阵Sylvester方程的一类Smith-like迭代法
A CLASS OF SMITH-LIKE ITERATION METHOD FOR M-MATRIX SYLVESTER EQUATIONS
摘要
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.关键词
Sylvester方程/M-矩阵/Smith方法Key words
Sylvester equation/M-matrix/Smith method分类
数理科学引用本文复制引用
关晋瑞,王志欣,任孚鲛..M-矩阵Sylvester方程的一类Smith-like迭代法[J].数学杂志,2023,43(5):389-397,9.基金项目
Supported by National Natural Science Foundation of China(12001395),Nat-ural Science Foundation of Shanxi province(201901D211423). （12001395）
