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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 circle B, and A(k) and B-k (k = 1, 2, n) are the k x k leading principal submatrices of A and B, respectively, then det(A circle B) greater than or equal to det(A B) Pi(k=2)(n) ( a(kk) det A(k-1)/det A(k) + b(kk) det Bk-1/det B-k -1). (C) 2003 Elsevier Science Inc. All fights reserved.
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LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN： 0024-3795
Year： 2003
Volume： 368
Page： 99-106
0 . 6 5 6
JCR@2003
1 . 0 0 0
JCR@2023
ESI Discipline： MATHEMATICS;
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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