Associate professor
Supervisor of Master's Candidates
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Journal:Journal of the Franklin Institute
Key Words:Sylvester matrix equations； Iterative；Numerical examples
Abstract:The purpose of this paper is to present an iterative algorithm for solving the general discrete-time periodic Sylvester matrix equations. It is proved by theoretical analysis that this algorithm can get the exact solutions of the periodic Sylvester matrix equations in a finite number of steps in the absence of round-off errors. Furthermore, when the discrete-time periodic Sylvester matrix equations are consistent, we can obtain its unique minimal Frobenius norm solution by choosing appropriate initial periodic matrices.
Indexed by:Journal paper
Discipline:Natural Science
Document Type:J
Volume:359
Issue:9
Page Number:4410–4432
ISSN No.:0016-0032
Translation or Not:no
Date of Publication:2022-06-01
Included Journals:SCI
