The complete solution to the Sylvester-polynomial-conjugate matrix equations

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)2044-2056
Journal / PublicationMathematical and Computer Modelling
Volume53
Issue number9-10
Publication statusPublished - May 2011

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. © 2010 Elsevier Ltd.

Research Area(s)

  • Complete solution, Conjugate product, Sylvester-conjugate sum, Sylvester-polynomial-conjugate matrix equations

Citation Format(s)

The complete solution to the Sylvester-polynomial-conjugate matrix equations. / Wu, Ai-Guo; Feng, Gang; Liu, Wanquan; Duan, Guang-Ren.

In: Mathematical and Computer Modelling, Vol. 53, No. 9-10, 05.2011, p. 2044-2056.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review