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Hermite Positive Definite Solution of a Class of Matrix Equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 English Publisher:Elsevier BVJournal:Procedia Engineering, volume 15, pages 1,884-1,888 (issn: 1877-7058, Copyright policy )
Authors: Liu, Panpan; Zhang, Shugong; Li, Qingchun;

doi: 10.1016/j.proeng.2011.08.351

Hermite Positive Definite Solution of a Class of Matrix Equation

Abstract

AbstractIn this paper, the Hermite positive definite solutions of the nonlinear matrix equation XS+A*X−tA=Q are discussed. A sufficient condition and two necessary and sufficient conditions for the existence of Hermite positive definite solutions for this equation are derived. The existence of minimal Hermite positive definite solution is also studied here, and an iterative method for obtaining the minimal Hermite positive definite solution is given.

Related Organizations
Keywords

Minimal solution, Hermitian positive definite solution, Iterative method, Engineering(all), Nonlinear matrix equation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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