Necessary and sufficient conditions for the existence of positive definite solutions of the matrix equationX+ATX−2A=I
Author:
Publisher
Informa UK Limited
Subject
Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications
Link
http://www.tandfonline.com/doi/pdf/10.1080/00207160412331336107
Reference10 articles.
1. On matrix equations X±A*X−2A=I
2. Properties of positive definite solutions of the equation X + A∗X−2A = I
3. On the existence of a positive definite solution of the matrix equation X+ATX−1A= I
4. On the existence of a positive definite solution of the matrix equation
5. Iterative solution of two matrix equations
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1. The Anti-symmetric Solution of the Matrix Equation $$AXA^\top =B$$ on a Null Subspace;Results in Mathematics;2024-02-24
2. On solution and perturbation estimates for the nonlinear matrix equation $$X-A^{*}e^{X}A=I$$;Journal of the Egyptian Mathematical Society;2022-09-23
3. The Hermitian Positive Definite Solution of the Nonlinear Matrix Equation;International Journal of Nonlinear Sciences and Numerical Simulation;2017-07-26
4. On the perturbation estimates of the maximal solution for the matrix equation X+ATX−1A=P;Journal of the Egyptian Mathematical Society;2016-10
5. Investigation of the existence and uniqueness of extremal and positive definite solutions of nonlinear matrix equations;Journal of Inequalities and Applications;2016-05-31
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