Campus Units

Mathematics

Document Type

Article

Publication Version

Published Version

Publication Date

2-2010

Journal or Book Title

Electronic Journal of Linear Algebra

Volume

19

First Page

121

Last Page

128

DOI

10.13001/1081-3810.1352

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.

Copyright Owner

The Author(s)

Language

en

File Format

application/pdf

Included in

Algebra Commons

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