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2011 Constructions of potentially eventually positive sign patterns with reducible positive part
Marie Archer, Minerva Catral, Craig Erickson, Rana Haber, Leslie Hogben, Xavier Martinez-Rivera, Antonio Ochoa
Involve 4(4): 405-410 (2011). DOI: 10.2140/involve.2011.4.405

Abstract

Potentially eventually positive (PEP) sign patterns were introduced by Berman et al. (Electron. J. Linear Algebra 19 (2010), 108–120), where it was noted that a matrix is PEP if its positive part is primitive, and an example was given of a 3×3 PEP sign pattern with reducible positive part. We extend these results by constructing n×n PEP sign patterns with reducible positive part, for every n3.

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Marie Archer. Minerva Catral. Craig Erickson. Rana Haber. Leslie Hogben. Xavier Martinez-Rivera. Antonio Ochoa. "Constructions of potentially eventually positive sign patterns with reducible positive part." Involve 4 (4) 405 - 410, 2011. https://doi.org/10.2140/involve.2011.4.405

Information

Received: 3 March 2011; Accepted: 10 June 2011; Published: 2011
First available in Project Euclid: 20 December 2017

zbMATH: 1252.15033
MathSciNet: MR2905236
Digital Object Identifier: 10.2140/involve.2011.4.405

Subjects:
Primary: 05C50 , 15A18‎ , 15B35 , 15B48

Keywords: ‎digraph‎ , matrix , PEP , potentially eventually positive , sign pattern

Rights: Copyright © 2011 Mathematical Sciences Publishers

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