A note on linear preservers on semipositive and minimal semipositive matrices
Projesh Nath Choudhury, M. Rajesh Kannan, K.C. Sivakumar
TL;DR
This paper investigates the structure of linear transformations that preserve semipositive and minimally semipositive matrices, contributing to the understanding of their properties in matrix theory.
Contribution
It characterizes the linear preservers of semipositive and minimally semipositive matrices, providing new insights into their structural properties.
Findings
Characterization of linear preservers on semipositive matrices
Characterization of linear preservers on minimally semipositive matrices
Enhanced understanding of matrix structure preservation
Abstract
Semipositive matrices (matrices that map at least one nonnegative vector to a positive vector) and minimally semipositive matrices (semipositive matrices whose no column-deleted submatrix is semipositive) are well studied in matrix theory. In this short note, we study the structure of linear maps which preserve the set of all semipositive and minimal semipositive matrices.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · graph theory and CDMA systems