Content area

Abstract

Nonlinear matrix equations Xp=A+i=1mMi(B+X1)1Mi have extensive applications in control theory, ladder networks, dynamic programming, and stochastic filtering. In this paper a fixed-point acceleration iteration algorithm is proposed and, based on the basic characteristics of the Thompson metric space, the convergence and error estimator of the proposed algorithm are proved. Numerical comparison experiments show that the proposed algorithm is feasible and effective.

Details

1009240
Title
Fixed-point accelerated iterative method for solving a nonlinear matrix equation
Author
Peng, Jingjing 1   VIAFID ORCID Logo  ; Yu, Siting 1 ; Peng, Zhenyun 1 

 Guilin University of Electronic Technology, Guilin, P.R. China (GRID:grid.440723.6) (ISNI:0000 0001 0807 124X) 
Publication title
Volume
2025
Issue
1
Pages
120
Publication year
2025
Publication date
Dec 2025
Publisher
Springer Nature B.V.
Place of publication
New York
Country of publication
Netherlands
Publication subject
ISSN
16871839
e-ISSN
16871847
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
Publication history
 
 
Online publication date
2025-07-29
Milestone dates
2025-07-11 (Registration); 2025-02-24 (Received); 2025-07-10 (Accepted)
Publication history
 
 
   First posting date
29 Jul 2025
ProQuest document ID
3234458060
Document URL
https://www.proquest.com/scholarly-journals/fixed-point-accelerated-iterative-method-solving/docview/3234458060/se-2?accountid=208611
Copyright
© The Author(s) 2025. This work is published under http://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2025-07-30
Database
ProQuest One Academic