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

Naglaa M. El-Shazly

Journal of Applied Mathematics, 2013, vol. 2013, 1-7

Abstract:

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 , . Moreover, relations between the solution and the matrices are derived.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:537520

DOI: 10.1155/2013/537520

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