Matrix group monotonicity

Authors:
Abraham Berman and Robert J. Plemmons

Journal:
Proc. Amer. Math. Soc. **46** (1974), 355-359

MSC:
Primary 15A09

DOI:
https://doi.org/10.1090/S0002-9939-1974-0352116-0

MathSciNet review:
0352116

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1974-0352116-0

Keywords:
Group inverse,
matrix monotonicity,
Moore-Penrose inverse,
nonnegative matrix,
nonnegative rank factorization

Article copyright:
© Copyright 1974
American Mathematical Society