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A Family of Rational Iterations and Its Application to the Computation of the Matrix p th Root

โœ Scribed by Iannazzo, Bruno


Book ID
118211776
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
524 KB
Volume
30
Category
Article
ISSN
0895-4798

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A matrix version of the Wielandt inequal
โœ Song-Gui Wang; Wai-Cheung Ip ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 110 KB

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