Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602173 | Linear Algebra and its Applications | 2009 | 12 Pages |
Abstract
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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