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The main result of this paper is the following: if both A=(a ij) and B=(b ij) are M-matrices 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, respectively, then det(A°B) ≥ det(AB)∏ (k=2) (n) (a kk det A k-1/detA k)+ b kkdetB k-1/detB k-1). © 2003 Elsevier Science Inc. All rights reserved.
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Linear Algebra and Its Applications
ISSN： 0024-3795
Year： 2003
Volume： 368
Page： 99-106
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JCR@2003
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JCR@2023
JCR Journal Grade：2
Cited Count：
SCOPUS Cited Count： 6
ESI Highly Cited Papers on the List： 0 Unfold All
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30 Days PV： 0
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