ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

A NOTE ON LINEAR PRESERVERS OF SEMIPOSITIVE AND MINIMALLY SEMIPOSITIVE MATRICES

Choudhury, Projesh Nath and Kannan, Rajesh M and Sivakumar, KC (2018) A NOTE ON LINEAR PRESERVERS OF SEMIPOSITIVE AND MINIMALLY SEMIPOSITIVE MATRICES. In: ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 34 . pp. 687-694.

[img] PDF
Ele_Jou_Lin_Alg_34_687_2018.pdf - Published Version
Restricted to Registered users only

Download (327kB) | Request a copy
Official URL: https://doi.org/10.13001/1081-3810, 1537-9582.3864

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
Additional Information: Copyright of this article belongs to INT LINEAR ALGEBRA SOC
Keywords: Linear preserver; Semipositive matrix; Minimally semipositive matrix; Monomial matrix
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Francis Jayakanth
Date Deposited: 07 Feb 2019 08:46
Last Modified: 07 Feb 2019 08:46
URI: http://eprints.iisc.ac.in/id/eprint/61658

Actions (login required)

View Item View Item