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Constructions of
potentially eventually positive sign patterns with reducible
positive part
Marie Archer, Minerva Catral, Craig Erickson, Rana Haber, Leslie Hogben, Xavier Martinez-Rivera and Antonio Ochoa
Vol. 4 (2011), No. 4, 405–410
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Abstract |
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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 PEP sign pattern with reducible positive part. We extend these results by constructing PEP sign patterns with reducible positive part, for every . |
Keywords
potentially eventually positive, PEP, sign pattern, matrix,
digraph
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Mathematical Subject Classification 2010
Primary: 15B35, 15B48, 05C50, 15A18
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Milestones
Received: 3 March 2011
Accepted: 10 June 2011
Published: 21 March 2012
Communicated by Chi-Kwong Li
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Authors |
| Marie Archer | |
| Department of Mathematics Iowa State University of Science and Technology 396 Carver Hall Ames, IA 50011-2064 United States |
Department of Mathematics Columbia College Columbia, SC 29203 United States |
| Minerva Catral | |
| Department of Mathematics and
Computer Science Xavier University Cincinnati, OH 45207 United States |
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| Craig Erickson | |
| Department of Mathematics Iowa State University of Science and Technology 396 Carver Hall Ames, IA 50011-2064 United States |
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| Rana Haber | |
| Mathematics Department Florida Institute of Technology Melbourne, FL 32901 United States |
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| Leslie Hogben | |
| Department of Mathematics Iowa State University of Science and Technology 396 Carver Hall Ames, IA 50011-2064 United States |
American Institute of
Mathematics 360 Portage Avenue Palo Alto, CA 94306 United States |
| Xavier Martinez-Rivera | |
| Department of Mathematical
Sciences University of Puerto Rico Mayagüez, P.R. 00681 United States |
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| Antonio Ochoa | |
| California State Polytechnic
University, Pomona Pomona, CA 91768 United States |
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