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Narrower eigenbounds for Hadamard products

โœ Scribed by Eric Iksoon Im

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
120 KB
Volume
264
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

The Schur theorem, established in 1911, defines the global bounds for all eigenvalues of Hadamard products of positive semidefinite matrices. We establish narrower, specific bounds for each eigenvalue.

๐Ÿ“œ SIMILAR VOLUMES

Some determinantal inequalities for Hada
Some determinantal inequalities for Hadamard product of matrices
โœ Shencan Chen ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 94 KB

The main result of this paper is the following: if both A = (a ij ) and B = (b ij ) are Mmatrices or positive definite real symmetric matrices of order n, the Hadamard product of A and B is denoted by A โ€ข B, and A k and B k (k = 1, 2, . . . , n) are the k ร— k leading principal submatrices of A and B