A generalization of A∘ A-1 ≥ 1

Bapat, R. B. ; Kam Kwong, Man (1987) A generalization of A∘ A-1 ≥ 1 Linear Algebra and its Applications, 93 . pp. 107-112. ISSN 0024-3795

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/S0024-3795(87)90315-6


A matrix inequality is obtained, in an elementary way, for the Schur product of two positive definite matrices. The inequality generalizes a well-known result due to Fiedler which asserts that if A is a positive definite matrix, then A ∘ A-1 ≥ / is a positive semidefinite matrix, where A∘ denotes the Schur multiplication.

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Deposited On:14 Jan 2012 15:40
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