DOI number:10.1016/j.jfranklin.2022.09.049

Journal:Journal of the Franklin Institute

Abstract:This paper focuses on constructing a conjugate gradient-based (CGB) method to solve the generalized periodic coupled Sylvester matrix equations in complex space. The presented method is developed from a point of conjugate gradient methods. It is proved that the presented method can find the solution of the considered matrix equations within finite iteration steps in the absence of round-off errors by theoretical derivation. Some numerical examples are provided to verify the convergence performance of the presented method, which is superior to some existing numerical algorithms both in iteration steps and computation time.

First Author:Zebin Chen

Indexed by:Journal paper

Correspondence Author:Xuesong Chen

Volume:359

Issue:17

Page Number:9925-9951

Translation or Not:no

Date of Publication:2022-11-10

Included Journals:SCI

Links to published journals:https://doi.org/10.1016/j.jfranklin.2022.09.049