Constructions of potentially eventually positive sign patterns with reducible positive part

Date
2011-01-01
Authors
Archer, Marie
Catral, Minerva
Erickson, Craig
Haber, Rana
Hogben, Leslie
Martinez-Rivera, Xavier
Ochoa, Antonio
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Altmetrics
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Research Projects
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Mathematics
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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 n≥3.

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This is an article from Involve 4 (2011): 405, doi:10.2140/involve.2011.4.405. Posted with permission.

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