Sign patterns that require or allow power-positivity

Thumbnail Image
Date
2010-02-01
Authors
Catral, Minerva
Hogben, Leslie
Olesky, Dale
van den Driessche, Pauline
Major Professor
Advisor
Committee Member
Journal Title
Journal ISSN
Volume Title
Publisher
Authors
Research Projects
Organizational Units
Organizational Unit
Journal Issue
Is Version Of
Versions
Series
Department
Mathematics
Abstract

A matrix A is power-positive if some positive integer power of A is entrywise positive. A sign pattern A is shown to require power-positivity if and only if either A or −A is nonnegative and has a primitive digraph, or equivalently, either A or −A requires eventual positivity. A sign pattern A is shown to be potentially power-positive if and only if A or −A is potentially eventually positive.

Comments

This article is published as Catral, Minerva, Leslie Hogben, Dale D. Olesky, and Pauline van den Driessche. "Sign patterns that require or allow power-positivity." The Electronic Journal of Linear Algebra 19 (2010): 121-128. DOI: 10.13001/1081-3810.1352. Posted with permission.

Description
Keywords
Citation
DOI
Subject Categories
Copyright
Fri Jan 01 00:00:00 UTC 2010
Collections