Sign patterns that allow algebraic positivity

Authors

Sunil Das, Indian Statistical Institute (Delhi Centre)

Article Type

Research Article

Publication Title

Linear Algebra and Its Applications

Abstract

A real square matrix is algebraically positive if there exists a real polynomial f such that f(A) is a positive matrix. In this paper, we give a sufficient condition for a sign pattern matrix to allow algebraic positivity, and give some methods to construct higher-order algebraically positive matrices from some lower-order algebraically positive matrices. We also propose two conjectures related to the problem of allowing algebraic positivity.

First Page

151

Last Page

182

DOI

10.1016/j.laa.2022.08.007

Publication Date

11-15-2022

Comments

Open Access, Green

Recommended Citation

Das, Sunil, "Sign patterns that allow algebraic positivity" (2022). Journal Articles. 2892.
https://digitalcommons.isical.ac.in/journal-articles/2892