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Journal:Applied Mathematics and Computation

Key Words:Generalized coupled Sylvester-conjugate matrix equations; Generalized Hamiltonian matrix; Iterative

Abstract:In this work, we present an iterative algorithm to solve a class of generalized coupled Sylvester-conjugate matrix equations over the generalized Hamiltonian matrices. We show that if the equations are consistent, a generalized Hamiltonian solution can be obtained within finite iteration steps in the absence of round-off errors for any initial generalized Hamiltonian matrix by the proposed iterative algorithm. Furthermore, we can obtain the minimum-norm generalized Hamiltonian solution by choosing the special initial matrices.

Indexed by:Journal paper

Discipline:Natural Science

Document Type:J

Volume:411

Issue:4

Page Number:126491

ISSN No.:0096-3003

Translation or Not:no

Date of Publication:2021-12-15

Included Journals:SCI