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Nonnegative group-monotone matrices and the minus partial order

✍ Scribed by Brian Blackwood; S.K. Jain

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 132 KB
Volume: 430
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2008.07.011

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✦ Synopsis

Bapat et al. previously described a class of nonnegative matrices dominated by a nonnegative idempotent matrix under the minus partial order. In this paper, we improve upon that description by first presenting a more general result that gives the precise structure of nonnegative matrices dominated by a group-monotone matrix under the minus partial order. As a special case we derive the complete class of nonnegative matrices dominated by a nonnegative idempotent matrix that includes the class obtained by Bapat et al.

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