摘要
Sylvester方程广泛出现在科学计算和工程应用的许多领域中,本文研究了M-矩阵Sylvester方程的数值解法.基于M-矩阵的性质和交替方向迭代的思想,提出了一类交替方向迭代法以求解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.
Sylvester equation is widely used in many fields of scientific computing and engineering applications. In this paper, numerical methods for solving M-matrix Sylvester equation are discussed.Based on the properties of M-matrix and the idea of alternating direction iteration, a class of alternating direction iterative method is proposed to solve the M-matrix Sylvester equation, and the convergence analysis of the new method is given. Numerical experiments show that the new method is feasible and is effective under certain conditions.
作者
关晋瑞
任孚鲛
GUAN Jinrui;REN Fujiao(School of Mathematics and Statistics,Taiyuan Normal University,Jinzhong 030619,China)
出处
《纯粹数学与应用数学》
2024年第2期347-356,共10页
Pure and Applied Mathematics
基金
国家自然科学基金(12001395)
山西省自然科学基金(201901D211423)。
