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Two inequalities for the Hadamard product of matrices

✍ Scribed by Linlin Zhao

Book ID: 120733684
Publisher: Hindawi Publishing Corporation
Year: 2012
Tongue: English
Weight: 151 KB
Volume: 2012
Category: Article
ISSN: 1025-5834
DOI: 10.1186/1029-242X-2012-122

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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 • B, and A k and B k (k = 1, 2, . . . , n) are the k × k leading principal submatrices of A and B

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