✦ LIBER ✦

A generalization of A ∘ A−1 ⩾I

✍ Scribed by R.B. Bapat; Man Kam Kwong

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 236 KB
Volume: 93
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(87)90315-6

No coin nor oath required. For personal study only.

✦ Synopsis

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 0 A-' -Z is a positive semidefinite matrix, where 0 denotes the Schur multiplication.

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