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International Linear Algebra Society, Electronic Journal of Linear Algebra, (23), 2012

DOI: 10.13001/1081-3810.1521

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A new eigenvalue bound for the Hadamard product of an M-matrix and an inverse M-matrix

Journal article published in 2012 by Fubin Chen, Yaotang Li, Defeng Wang
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

If A and B are n×n nonsingular M-matrices, a new lower bound for the minimum eigenvalue τ(A∘B -1 ) for the Hadamard product of A and B -1 is derived. This bound improves the result of R. Huang [Linear Algebra Appl. 428, No. 7, 1551–1559 (2008; Zbl 1163.15017)].