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Potentially
eventually exponentially positive sign patterns
Marie Archer, Minerva Catral, Craig Erickson, Rana Haber, Leslie Hogben, Xavier Martinez-Rivera and Antonio Ochoa
Vol. 6 (2013), No. 3, 261–271
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Abstract |
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We introduce the study of potentially eventually exponentially positive (PEEP) sign patterns and establish several results using the connections between these sign patterns and the potentially eventually positive (PEP) sign patterns. It is shown that the problem of characterizing PEEP sign patterns is not equivalent to that of characterizing PEP sign patterns. A characterization of all and PEEP sign patterns is given. |
Keywords
potentially eventually exponentially positive, potentially
eventually positive, PEEP, PEP, sign pattern, matrix
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Mathematical Subject Classification 2010
Primary: 15A18, 15B35, 15B48
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Milestones
Received: 11 July 2011
Accepted: 25 May 2013
Published: 8 September 2013
Communicated by Chi-Kwong Li
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Authors |
| Marie Archer | |
| Mathematics and Computing Columbia College 1301 Columbia College Drive Columbia, SC 29203 United States |
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| Minerva Catral | |
| Department of Mathematics and
Computer Science Xavier University 3800 Victory Parkway 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 | |
| Department of Mathematics and
Statistics California State Polytechnic University, Pomona 3801 West Temple Avenue Pomona, CA 91768 United States |
Department of Mathematical
Sciences Florida Institute of Technology 3366 Mazur Drive Melbourne, FL 32901 United States |
| Leslie Hogben | |
| Department of Mathematics Iowa State University Ames, IA 50011 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 Highway no. 2, Post 259 North Mayagüez, Puerto Rico 00681 United States |
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| Antonio Ochoa | |
| Department of Mathematics and
Statistics California State Polytechnic University, Pomona 3801 West Temple Avenue Pomona, CA 91768 United States |
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