Necessary and Sufficient Conditions for the Existence of a Positive Definite Solution for the Matrix Equation

In this paper necessary and sufficient conditions for the matrix equation to have a positive definite solution are derived, where , is an identity matrix, are nonsingular real matrices, and is an odd positive integer. These conditions are used to propose some properties on the matrices , . Mo...

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Bibliographic Details
Main Author: Naglaa M. El-Shazly
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/537520
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