On the Positive Definite Solutions of a Nonlinear Matrix Equation

Panpan Liu, Shugong Zhang and Qingchun Li

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: The positive definite solutions of the nonlinear matrix equation Xs + A∗f(X)A = Q 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.

Date: 2013
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https://doi.org/10.1155/2013/676978

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:676978

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