ON POSITIVE DEFINITE SOLUTIONS OF THE MATRIX EQUATION $X+A∗X^{-q}A=Q(0 \lt q ≤ 1)$
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: Taiwanese Journal of Mathematics
سال: 2012
ISSN: 1027-5487
DOI: 10.11650/twjm/1500406740