Characterizations of minimal semipositivity
Hans‐Joachim Werner · Linear and Multilinear Algebra · 1994
A real m×n matrix A is said to be semipositive if there is a nonnegative vector λ such that Ax exists and is componentwise positive. A is said to be minimally semipositive if it is semipositive and no proper m×p 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.