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A generalization of strongly (−1, 1) rings

✍ Scribed by Erwin Kleinfeld


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
382 KB
Volume
119
Category
Article
ISSN
0021-8693

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A generalization of A ∘ A−1 ⩾I
✍ R.B. Bapat; Man Kam Kwong 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 236 KB

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