Constructions of potentially eventually positive sign patterns with reducible positive part

dc.contributor.author Archer, Marie
dc.contributor.author Catral, Minerva
dc.contributor.author Hogben, Leslie
dc.contributor.author Erickson, Craig
dc.contributor.author Haber, Rana
dc.contributor.author Hogben, Leslie
dc.contributor.author Martinez-Rivera, Xavier
dc.contributor.author Ochoa, Antonio
dc.contributor.department Mathematics
dc.date 2018-02-18T06:10:29.000
dc.date.accessioned 2020-06-30T06:01:02Z
dc.date.available 2020-06-30T06:01:02Z
dc.date.copyright Sat Jan 01 00:00:00 UTC 2011
dc.date.issued 2011-01-01
dc.description.abstract <p>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.</p>
dc.description.comments <p>This is an article from <em>Involve</em> 4 (2011): 405, doi:<a href="http://dx.doi.org/10.2140/involve.2011.4.405" target="_blank">10.2140/involve.2011.4.405</a>. Posted with permission.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/math_pubs/91/
dc.identifier.articleid 1100
dc.identifier.contextkey 9894188
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath math_pubs/91
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/54691
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/math_pubs/91/2011_Hogben_ConstructionsPotentially.pdf|||Sat Jan 15 02:28:25 UTC 2022
dc.source.uri 10.2140/involve.2011.4.405
dc.subject.disciplines Algebra
dc.subject.disciplines Discrete Mathematics and Combinatorics
dc.subject.keywords potentially eventually positive
dc.subject.keywords PEP
dc.subject.keywords sign pattern
dc.subject.keywords matrix
dc.subject.keywords digraph
dc.title Constructions of potentially eventually positive sign patterns with reducible positive part
dc.type article
dc.type.genre article
dspace.entity.type Publication
relation.isAuthorOfPublication 0131698a-00df-41ad-8919-35fb630b282b
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
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