An efficient inversion-free method for solving the nonlinear matrix equation [Graphics character omitted]

In this article, we first introduce the necessary and sufficient conditions for the existence of the solution of nonlinear matrix equation ... Then we propose the inversion-free iteration method to find this solution of the nonlinear matrix equation. Finally, the accuracy and effectiveness of the pr...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the Franklin Institute 2022-05, Vol.359 (7), p.3071
Main Authors: Erfanifar, Raziyeh, Sayevand, Khosro, Hajarian, Masoud
Format: Article
Language:English
Subjects:
Algorithms
Iterative methods
Matrix
Nonlinear equations
Numerical analysis
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, we first introduce the necessary and sufficient conditions for the existence of the solution of nonlinear matrix equation ... Then we propose the inversion-free iteration method to find this solution of the nonlinear matrix equation. Finally, the accuracy and effectiveness of the proposed method in compare to some existing algorithms are demonstrated by various numerical examples. (ProQuest: … denotes formulae omitted.)
ISSN:0016-0032
0016-0032
DOI:10.1016/j.jfranklin.2022.02.030