On the positive definite solutions of the matrix equation X s + A *X _S A = Q

dc.creator	Adam, M.	en
dc.date.accessioned	2015-11-23T10:21:40Z
dc.date.available	2015-11-23T10:21:40Z
dc.date.issued	2011
dc.identifier.issn	18741142
dc.identifier.uri	http://hdl.handle.net/11615/25340
dc.description.abstract	In this paper, necessary and sufficient conditions for the existence of the positive definite solutions of the nonlinear matrix equation X s + A * X -s A = Q are presented, when A is nonsingular and s an integer, as well as some new properties and bounds for the eigenvalues of matrices related to A,Q are discussed. An algebraic method for the computation of the solutions is proposed, based on the algebraic solution of the corresponding discrete time Riccati equation. The exact number of the positive definite solutions is also computed. © Maria Adam.	en
dc.source	Open Applied Mathematics Journal	en
dc.source.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-82955225092&partnerID=40&md5=bcb3d94d6390836cb9dd730361f1bf53
dc.subject	Eigenvalue	en
dc.subject	Numerical radius	en
dc.subject	Riccati equation	en
dc.title	On the positive definite solutions of the matrix equation X s + A *X _S A = Q	en
dc.type	journalArticle	en

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