Potentially eventually positive (PEP) sign patterns were introduced by Berman et al. (Electron. J. Linear Algebra 19 (2010), 108–120), where it was noted that a matrix is PEP if its positive part is primitive, and an example was given of a 3×3 PEP sign pattern with reducible positive part. We extend these results by constructing n×n PEP sign patterns with reducible positive part, for every n≥3.
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机译：Berman等人介绍了潜在的最终正向（PEP）符号模式。 （Electron。J. Linear Algebra 19（2010），108–120），其中指出，如果矩阵的正部分是原始的，则该矩阵为PEP，并给出了带有可简化正部分的3×3 PEP符号模式的示例。我们通过每n≥3构造n×n个具有可减少正部分的PEP符号模式来扩展这些结果。
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