Vol. 6, No. 3, 2013

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ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
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
Abstract

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 2 × 2 and 3 × 3 PEEP sign patterns is given.

Keywords
potentially eventually exponentially positive, potentially eventually positive, PEEP, PEP, sign pattern, matrix
Mathematical Subject Classification 2010
Primary: 15A18, 15B35, 15B48
Milestones
Received: 11 July 2011
Accepted: 25 May 2013
Published: 8 September 2013

Communicated by Chi-Kwong Li
Authors
Marie Archer
Mathematics and Computing
Columbia College
1301 Columbia College Drive
Columbia, SC 29203
United States
Minerva Catral
Department of Mathematics and Computer Science
Xavier University
3800 Victory Parkway
Cincinnati, OH 45207
United States
Craig Erickson
Department of Mathematics
Iowa State University of Science and Technology
396 Carver Hall
Ames, IA 50011-2064
United States
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
Antonio Ochoa
Department of Mathematics and Statistics
California State Polytechnic University, Pomona
3801 West Temple Avenue
Pomona, CA 91768
United States