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dc.contributor.authorWu, A.
dc.contributor.authorFeng, G.
dc.contributor.authorLiu, Wan-Quan
dc.contributor.authorDuan, G.
dc.identifier.citationWu, Ai-Guo and Feng, Gang and Liu, Wanquan and Duan, Guang-Ren. 2011. The complete solution to the Sylvester-polynomial-conjugate matrix equations. Mathematical and Computer Modelling. 53: pp. 2044-2056.

In this paper we propose two new operators for complex polynomial matrices. One is the conjugate product and the other is the Sylvester-conjugate sum. Then some important properties for these operators are proved. Based on these derived results, we propose a unified approach to solving a general class of Sylvester-polynomial-conjugate matrix equations, which include the Yakubovich-conjugate matrix equation as a special case. The complete solution of the Sylvester-polynomial-conjugate matrix equation is obtained in terms of the Sylvester-conjugate sum, and such a proposed solution can provide all the degrees of freedom with an arbitrarily chosen parameter matrix.

dc.subjectSylvester-polynomial-conjugate matrix equations
dc.subjectSylvester-conjugate sum
dc.subjectComplete solution
dc.subjectConjugate product
dc.titleThe complete solution to the Sylvester-polynomial-conjugate matrix equations
dc.typeJournal Article
dcterms.source.titleMathematical and Computer Modelling
curtin.departmentDepartment of Computing
curtin.accessStatusOpen access via publisher

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