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.
Citation
Naglaa M. El-Shazly. "Necessary and Sufficient Conditions for the Existence of a Positive Definite Solution for the Matrix Equation ." J. Appl. Math. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/537520
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