Decomposition of nonnegative group-monotone matrices

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

doi:10.1090/S0002-9947-1980-0552264-3

Decomposition of nonnegative group-monotone matrices
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by S. K. Jain, Edward K. Kwak and V. K. Goel

Trans. Amer. Math. Soc. 257 (1980), 371-385

DOI: https://doi.org/10.1090/S0002-9947-1980-0552264-3

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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.

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