Newton's Method for the Matrix Nonsingular Square Root

作者:Li, Chun-Mei*; Shen, Shu-Qian
来源:Journal of Applied Mathematics, 2014, 2014: 267042.
DOI:10.1155/2014/267042

摘要

Two new algorithms are proposed to compute the nonsingular square root of a matrix A. Convergence theorems and stability analysis for these new algorithms are given. Numerical results show that these new algorithms are feasible and effective.