A note on linear preservers of semipositive and minimally semipositive matrices

Choudhury, PN and Kannan, MR and Sivakumar, AKC (2018) A note on linear preservers of semipositive and minimally semipositive matrices. In: Electronic Journal of Linear Algebra, 34 . pp. 687-694.

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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, the structure of linear maps which preserve the set of all semipositive/minimally semipositive matrices is studied. An open problem is solved, and some ambiguities in the article [J. Dorsey, T. Gannon, N. Jacobson, C.R. Johnson and M. Turnansky. Linear preservers of semi-positive matrices. Linear and Multilinear Algebra, 64:1853–1862, 2016.] are clarified.

Item Type:	Journal Article
Publication:	Electronic Journal of Linear Algebra
Publisher:	International Linear Algebra Society
Additional Information:	The copyright for this article belongs to the International Linear Algebra Society.
Keywords:	Linear preserver; Minimally semipositive matrix; Monomial matrix; Semipositive matrix
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	18 Aug 2022 05:32
Last Modified:	18 Aug 2022 05:32
URI:	https://eprints.iisc.ac.in/id/eprint/75939

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