On the Positive Definite Solutions of a Nonlinear Matrix Equation | Zendy

Panpan Liu | Zendy; Shugong Zhang | Zendy; Qingchun Li | Zendy

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On the Positive Definite Solutions of a Nonlinear Matrix Equation

Author(s) -

Panpan Liu,

Shugong Zhang,

Qingchun Li

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/676978

Subject(s) - mathematics , matrix (chemical analysis) , path (computing) , positive definite matrix , combinatorics , physics , computer science , chemistry , chromatography , eigenvalues and eigenvectors , quantum mechanics , programming language

The positive definite solutions of the nonlinearmatrix 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 analysisfor this equation is discussed

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