SFB 303 Discussion Paper No. B - 230
Author: Werner, Hans Joachim
Title: Characterizations of Minimal Semipositivity
Abstract: A real m x n Matrix A is said to be semipositive if there is a
nonnegative vector x such that Ax exists and is componentwise positive. A is
said to be minimally semipositive if it is semipositive and no proper m x n
submatrix of A is semipositive. Minimal semipositivity is characterized in
this paper and is related to rectangular monotonicity and weak
r-monotonicity. P+-matrices and nonnegative matrices will also be
considered.
Keywords: Semipositivity, minimal semipositivity, rectangular monotonicity, weak
r-monotonicity, nonnegative matrices, P+-matrices
JEL-Classification-Number: 210
Creation-Date: 1992
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