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A matrix version of the Wielandt inequality and its application to statistics

โœ Scribed by Songguil Wang; Ip Wai-Cheung

Publisher
Springer
Year
1999
Tongue
English
Weight
169 KB
Volume
44
Category
Article
ISSN
1001-6538

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Suppose that A is an n ร‚ n positive deยฎnite Hermitian matrix. Let X and Y be n ร‚ p and n ร‚ q matrices, respectively, such that X รƒ Y 0. The present article proves the following inequality, where k 1 and k n are respectively the largest and smallest eigenvalues of A, and M ร€ stands for a generalized

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Let A 1 , . . . , A s be nonnegative definite matrices. We prove that there are constants c i , 1 i s, depending on A 1