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On two inequalities for the Hadamard product and the Fan product of matrices

โœ Scribed by Qingbing Liu; Guoliang Chen


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
168 KB
Volume
431
Category
Article
ISSN
0024-3795

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Some determinantal inequalities for Hada
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