#### Vol. 6, No. 3, 2013

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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
##### 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