Decomposition of nonnegative group-monotone matrices-Reference-Cited by-同舟云学术

Decomposition of nonnegative group-monotone matrices

Published:1980 Issue:2 Volume:257 Page:371-385
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Jain S. K.,Kwak Edward K.,Goel V. K.

Abstract

A decomposition of nonnegative matrices with nonnegative group inverses has been obtained. This decomposition provides a new approach to the solution of problems relating to nonnegative matrices with nonnegative group inverses. As a consequence, a number of results are derived. Our results, among other things, answer a question of Berman, extend the theorems of Berman and Plemmons, DeMarr and Flor.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1980-257-02/S0002-9947-1980-0552264-3/S0002-9947-1980-0552264-3.pdf

Reference8 articles.

1. Pure and Applied Mathematics;Ben-Israel, Adi,1974

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

3. Matrix group monotonicity;Berman, Abraham;Proc. Amer. Math. Soc.,1974

4. Inverses of rank invariant powers of a matrix;Cline, Randall E.;SIAM J. Numer. Anal.,1968

5. Nonnegative idempotent matrices;DeMarr, Ralph;Proc. Amer. Math. Soc.,1974

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