Constructions of potentially eventually positive sign patterns with reducible positive part

نویسندگان

  • MARIE ARCHER
  • CRAIG ERICKSON
  • XAVIER MARTINEZ-RIVERA
  • ANTONIO OCHOA
چکیده

Potentially eventually positive (PEP) sign patterns were introduced in “Sign patterns 1 that allow eventual positivity,” Electronic Journal of Linear Algebra, 19 (2010): 108–120, where it 2 was noted that A is PEP if its positive part is primitive, and an example was given of a 3× 3 PEP 3 sign pattern with reducible positive part. We extend these results by constructing n × n PEP sign 4 patterns with reducible positive part, for every n ≥ 3. 5

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تاریخ انتشار 2011