On Hermitian positive definite solutions of matrix equation X+A*X−2A=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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In this paper, an efficient iterative method is presented to solve a new nonlinear matrix equation * r X A X A I with real matrices and r 1 . Some properties of the positive definite solutions for the nonlinear matrix equation are derived. Moreover, necessary and sufficient conditions for the existence of the positive definite solutions are derived. The error estimation of the iterative m...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2003
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(03)00530-5