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Matrix norm versions of the Kantorovich inequality and its applications

✍ Scribed by Yang Hu

Book ID: 112818484
Publisher: SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year: 1995
Tongue: English
Weight: 325 KB
Volume: 10
Category: Article
ISSN: 1005-1031
DOI: 10.1007/bf02662857

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Suppose that A is an n Â n positive de®nite Hermitian matrix. Let X and Y be n Â p and n Â q matrices, respectively, such that X Ã 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 À stands for a generalized