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 b
Nonnegative idempotent matrices and the minus partial order
β Scribed by R.B. Bapat; S.K. Jain; L.E. Snyder
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 571 KB
- Volume
- 261
- Category
- Article
- ISSN
- 0024-3795
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β¦ Synopsis
We describe the structure of nonnegative matrices dominated by a nonnegative idempotent matrix under the minus order. 0
π SIMILAR VOLUMES
GroΓ [Linear Algebra Appl. 326 (2001) 215] developed characterizations of the minus and star partial orders between the squares of Hermitian nonnegative definite matrices referring to the concept of the space preordering. In the present paper, his results are generalized by deleting the nonnegative
Certain classes of matrices are indicated for which the star, left-star, right-star, and minus partial orderings, or some of them, are equivalent. Characterizations of the left-star and rightstar orderings, similar to those devised by Hartwig and Styan [Linear Algebra Appl. 82 (1986) 145] for the st