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Proof of a conjecture concerning the Hadamard powers of inverse M-matrices

✍ Scribed by Shencan Chen

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
108 KB
Volume
422
Category
Article
ISSN
0024-3795

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We conjecture that for an n x n matrix A which is an inverse of an M-matrix, the Hadamard product A o A is also an inverse of an M-matrix. We have checked this conjecture without failure on many many examples. But here we show that for quite a few well known classes of inverses of M-matrices, the co

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We investigate the Hadamard product of inverse M-matrices and present two classes of inverse M-matrices that are closed under the Hadamard multiplication. In the end, we give some inequalities on the Fan product of M-matrices and Schur complements.