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On the Hadamard product of inverse M-matrices

โœ Scribed by Bo-Ying Wang; Xiuping Zhang; Fuzhen Zhang

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
79 KB
Volume
305
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

A conjecture concerning the Hadamard pro
A conjecture concerning the Hadamard product of inverses of M-matrices
โœ M. Neumann ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 804 KB

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