应用数学2022，Vol.35Issue(2)：386-393,8.
M-矩阵平方根的一类迭代法
An Iteration Method for the Square Root of M-Matrix
摘要
Abstract
Matrix square root plays an important role in many applications of mathe-matics.In this paper,we consider the problem of computing the square root of M-matrix and propose an iteration method for computing the square root of regular M-matrices.We first transform this problem into an M-matrix algebraic Riccati equation (MARE) and then propose an efficient method to solve this special MARE.Theoretical analysis shows that our method is convergent under certain conditions and numerical experiments are given to show that our method is feasible and outperforms the Binomial iteration.关键词
矩阵平方根/正则M-矩阵/代数Riccati方程/二项式迭代Key words
Matrix square root/Regular M-matrix/Algebraic Riccati equation/Binomial iteration分类
数理科学引用本文复制引用
关晋瑞,邵荣侠,Zubair Ahmeda..M-矩阵平方根的一类迭代法[J].应用数学,2022,35(2):386-393,8.基金项目
Supported by the National Natural Science Foundation of China (12001395),the Natural Science Foundation of Shanxi province (201901D211423) （12001395）
