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

Comments

Open Access, Bronze, Green

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