An iterative scheme for a class of generalized Sylvester matrix equations

Dehghan, Mehdi; Karamali, Gholamreza; Shirilord, Akbar

doi:10.22060/ajmc.2024.22444.1159

An iterative scheme for a class of generalized Sylvester matrix equations

Document Type : Original Article

Authors

Mehdi Dehghan ¹
Gholamreza Karamali ²
Akbar Shirilord ¹

¹ Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran

² Shahid Sattari Aeronautical University of Sciences and Technology, Iran

10.22060/ajmc.2024.22444.1159

Abstract

Utilizing the AOR approach, we have devised an iterative scheme to tackle the generalized Sylvester matrix equation, which has proven to be a complicated and challenging problem to solve. Our focus is to conduct a thorough analysis of the convergence properties of this new method. To showcase the effectiveness of the proposed approach, we provide a numerical example that demonstrates its practical application.

Keywords