An iterative scheme for a class of generalized Sylvester matrix equations

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this study based on the accelerated over relaxation (AOR) method we make an iterative scheme for solving generalized Lyapunov matrix equation$$ {A}{X}+{X}{B}+\sum_{j=1}^{m}{N}_j{X}{M}_j={C},$$over complex or real matrices. Then we analyze the convergence of the new iterative method in detail. There have been discussions for the calculation of optimal parameters. Finally a numerical example is given to demonstrate the capability of the new method.
Language:
English
Published:
AUT Journal of Mathematics and Computing, Volume:5 Issue: 3, Summer 2024
Pages:
195 to 215
https://www.magiran.com/p2740194