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Matrix group monotonicity

Authors :
Robert J. Plemmons
Abraham Berman
Source :
Proceedings of the American Mathematical Society. 46:355-359
Publication Year :
1974
Publisher :
American Mathematical Society (AMS), 1974.

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.

Subjects

Subjects :
Applied Mathematics
General Mathematics
Monotonic function
Metzler matrix
law.invention
Matrix decomposition
Combinatorics
Invertible matrix
Matrix group
law
Nonnegative matrix
Involutory matrix
Moore–Penrose pseudoinverse
Mathematics

Details

ISSN :
10886826 and 00029939
Volume :
46
Database :
OpenAIRE
Journal :
Proceedings of the American Mathematical Society
Accession number :
edsair.doi...........b5efce4296068a2e192fcf3886b77721
Full Text :
https://doi.org/10.1090/s0002-9939-1974-0352116-0
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