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Computing the Extremal Positive Definite Solutions of a Matrix Equation

✍ Scribed by Zhan, Xingzhi

Book ID
120677282
Publisher
Society for Industrial and Applied Mathematics
Year
1996
Tongue
English
Weight
772 KB
Volume
17
Category
Article
ISSN
1064-8275

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πŸ“œ SIMILAR VOLUMES

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In this paper we investigate nonlinear matrix equations X Β± A \* X -q A = Q where q β‰₯ 1. We derive necessary conditions and sufficient conditions for the existence of positive definite solutions for these equations. We provide a sufficient condition for the equation X + A \* X -q A = Q to have two

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In this paper we investigate some existence questions of positive semi-definite solutions for certain classes of matrix equations known as the generalized Lyapunov equations. We present sufficient and necessary conditions for certain equations and only sufficient for others.

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In this paper, the Hermitian positive definite solutions of the matrix equation X s + A \* X -t A = Q are considered, where Q is an Hermitian positive definite matrix, s and t are positive integers. Necessary and sufficient conditions for the existence of an Hermitian positive definite solution are