Year: 2025
Type: article
Abstract: Quadratic matrix equations arise in many fields of scientific computing and engineering applications. In this paper, we study a class of quadratic matrix equations. Firstly, we prove the existence of minimal nonnegative solution for this quadratic matrix equation under a certain condition. Then, we propose some numerical methods for solving it. Finally, convergence analysis and numerical examples are given to verify the theories and the numerical methods of this paper.
Source: Filomat
DOI: 10.2298/fil2501033g
Authors: Jinrui Guan, Zhixin Wang
Institution: Taiyuan Normal University
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
Award: G4652935744
OpenAlex ID: W4412912721