Positive definite solutions of the nonlinear matrix equation X+AHX¯-1A=I
نویسندگان
چکیده
منابع مشابه
On the Positive Definite Solutions of a Nonlinear Matrix Equation
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 di...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2013
ISSN: 0096-3003
DOI: 10.1016/j.amc.2013.01.021