Title
On linear preservers of semipositive matrices
Article Type
Research Article
Publication Title
Electronic Journal of Linear Algebra
Abstract
Given proper cones K1 and K2 in Rn and Rm, respectively, an m × n matrix A with real entries is said to be semipositive if there exists ax ∈ Ko1 such that ax ∈ Ko2, where Ko denotes the interior of a proper cone K. This set is denoted by S(K1,K2). We resolve a recent conjecture on the structure of into linear preservers of S(Rn+,Rm+). We also determine linear preservers of the set S(K1,K2) for arbitrary proper cones K1 and K2. Preservers of the subclass of those elements of S(K1,K2) with a (K2,K1)-nonnegative left inverse as well as connections between strong linear preservers of S(K1,K2) with other linear preserver problems are considered.
First Page
88
Last Page
112
DOI
10.13001/ela.2021.5397
Publication Date
1-1-2021
Recommended Citation
Jayaraman, Sachindranath and Mer, Vatsalkumar N., "On linear preservers of semipositive matrices" (2021). Journal Articles. 2213.
https://digitalcommons.isical.ac.in/journal-articles/2213
Comments
Open Access, Bronze, Green