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