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Abstract:
Suppose both A and B are n×n nonsingular M-matrices. An estimate from below for the smallest eigenvalue τ(AB-1) (in modulus) of the Hadamard product AB-1 of A and B-1 is derived. As a special case, we obtain the inequality τ(A A-1) ≥ 2/n (n ≥ 2). © 2003 Elsevier Inc. All rights reserved.
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Linear Algebra and Its Applications
ISSN: 0024-3795
Year: 2004
Issue: 1-3
Volume: 378
Page: 159-166
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JCR@2004
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JCR@2023
JCR Journal Grade:3
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SCOPUS Cited Count: 25
ESI Highly Cited Papers on the List: 0 Unfold All
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