Necessary and Sufficient Conditions for the Existence of a Positive Definite Solution for the Matrix Equation
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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.
2017 ◽
Vol 52
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pp. 22-26
1993 ◽
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2001 ◽
Vol 76
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pp. 331-338
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