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On the Positive Definite Solutions of a Nonlinear Matrix Equation

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2013 English Publisher:WileyJournal:Journal of Applied Mathematics, volume 2,013, pages 1-6 (issn: 1110-757X, eissn: 1687-0042, Copyright policy )
Authors: Panpan Liu; Shugong Zhang; Qingchun Li;

doi: 10.1155/2013/676978

On the Positive Definite Solutions of a Nonlinear Matrix Equation

Abstract

The positive definite solutions of the nonlinear matrix equation are discussed. A necessary and sufficient condition for the existence of positive definite solutions for this equation is derived. Then, the uniqueness of the Hermitian positive definite solution is studied based on an iterative method proposed in this paper. Lastly the perturbation analysis for this equation is discussed.

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Keywords

QA1-939, Mathematics

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citations
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!
2
Average
Average
Average
gold