Matrix group monotonicity-Reference-Cited by-同舟云学术

Matrix group monotonicity

Published:1974 Issue:3 Volume:46 Page:355-359
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Berman Abraham,Plemmons Robert J.

Abstract

Matrices for which the group inverse exists and is nonnegative are studied. Such matrices are characterized in terms of a generalization of monotonicity. In particular, nonnegative matrices with this property are characterized in terms of their nonnegative rank factorizations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1974-046-03/S0002-9939-1974-0352116-0/S0002-9939-1974-0352116-0.pdf

Reference12 articles.

1. CMS Books in Mathematics/Ouvrages de Math\'{e}matiques de la SMC;Ben-Israel, Adi,2003

2. Nonnegative matrices which are equal to their generalized inverse;Berman, Abraham;Linear Algebra Appl.,1974

3. Monotonicity and the generalized inverse;Berman, Abraham;SIAM J. Appl. Math.,1972

4. Cones and iterative methods for best least squares solutions of linear systems;Berman, Abraham;SIAM J. Numer. Anal.,1974

5. Inverses of nonnegative matrices;Berman, Abraham;Linear and Multilinear Algebra,1974

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