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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