dc.contributor.author Wu, A. dc.contributor.author Feng, G. dc.contributor.author Liu, Wan-Quan dc.contributor.author Duan, G. dc.date.accessioned 2017-01-30T12:53:51Z dc.date.available 2017-01-30T12:53:51Z dc.date.created 2012-03-23T01:19:57Z dc.date.issued 2011 dc.identifier.citation Wu, 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. dc.identifier.uri http://hdl.handle.net/20.500.11937/26519 dc.identifier.doi 10.1016/j.mcm.2010.12.038 dc.description.abstract 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.publisher Pergamon dc.subject Sylvester-polynomial-conjugate matrix equations dc.subject Sylvester-conjugate sum dc.subject Complete solution dc.subject Conjugate product dc.title The complete solution to the Sylvester-polynomial-conjugate matrix equations dc.type Journal Article dcterms.source.volume 53 dcterms.source.startPage 2044 dcterms.source.endPage 2056 dcterms.source.issn 0895-7177 dcterms.source.title Mathematical and Computer Modelling curtin.department Department of Computing curtin.accessStatus Open access via publisher
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