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Some determinantal inequalities for Hadamard product of matrices

โœ Scribed by Shencan Chen

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
94 KB
Volume
368
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

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, respectively, then

๐Ÿ“œ SIMILAR VOLUMES

Determinantal inequalities for positive
Determinantal inequalities for positive definite matrices
โœ Charles R. Johnson; Wayne W. Barrett ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 609 KB

We consider the problem of identifying all determinantal inequalities valid on all positive definite matrices. This is fundamentally a combinatorial problem about relations between collections of index sets. We describe some general structure of this problem and give sufficient and necessary conditi