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- W1981409306 abstract "In this paper, the structure of nonnegative $m times n$ matrices A satisfying $AXA = A$, for some nonnegative $n times m$ matrix X, is obtained. Several equivalent characterizations of such matrices A have been given earlier by Plemmons [Proc. Amer. Math. Soc., 39 (1973), pp. 26–32] and Berman–Plemmons [Linear and Multlinear Algebra, 2 (1974), pp. 161–172]. The structure of matrices given in this paper unifies all the previous known results on $lambda $-monotone matrices where $1 in lambda $. The importance of $lambda $-monotonicity to problems in mathematical economics, in probability and statistics, and in numerical linear algebra, is documented in a recent book by Berman and Plemmons [Nonnegative Matrices in the Mathematical Sciences, Academic Press, New York, 1979]." @default.
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- W1981409306 date "1981-03-01" @default.
- W1981409306 modified "2023-09-28" @default.
- W1981409306 title "Nonnegative $lambda $-Monotone Matrices" @default.
- W1981409306 doi "https://doi.org/10.1137/0602009" @default.
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