Conjugate gradient-based iterative algorithm for solving generalized periodic coupled Sylvester matrix equations. Issue 17 (November 2022)

• Record Type: Journal Article
• Authors: Chen, Zebin; Chen, Xuesong
• Is Part Of: Journal of the Franklin Institute. Volume 359:Issue 17(2022)
• Page Start: 9925
• Page End: 9951
• Publication Date: 2022-11
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2022.09.049
• Languages: English
• ISSNs: 0016-0032

Abstract

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.