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An iterative algorithm for solving a class of generalized coupled Sylvester-transpose matrix equations over bisymmetric or skew-anti-symmetric matrices

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Journal:Journal of Applied Analysis and Computation

Key Words:Generalized coupled Sylvester-transpose matrix equations, Bisymmetric matrix, Skew-anti-symmetric ma

Abstract:This paper presents an iterative algorithm to solve a class of generalized coupled Sylvester-transpose matrix equations over bisymmetric or skew-anti-symmetric matrices. When the matrix equations are consistent, the bisymmetric or skew-anti-symmetric solutions can be obtained within finite iteration steps in the absence of round-off errors for any initial bisymmetric or skew-anti-symmetric matrices by the proposed iterative algorithm. In addition, we can obtain the least norm solution by choosing the special initial matrices.

Indexed by:Journal paper

Discipline:Natural Science

Document Type:J

Volume:10

Issue:4

Page Number:1282-1310

ISSN No.:2156-907X

Translation or Not:no

Date of Publication:2020-08-01

Included Journals:SCI

Pre One:The BCR algorithms for solving the reflexive or anti-reflexive solutions of generalized coupled Sylvester matrix equations