An iterative scheme for a class of generalized Sylvester matrix equations

Document Type : Original Article


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

2 Shahid Sattari Aeronautical University of Sciences and Technology, Iran


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.


Main Subjects