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An example of a nonregular semimonotoneQ-matrix

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Abstract

In their paper, Aganagic and Cottle gave necessary and sufficient conditions for aP 0-matrix to be aQ-matrix. In his paper, Pang showed that the same characterization holds for anL-matrix.

In this paper, we show that a similar characterization for anE 0-matrix (semimonotone orL 1-matrix) is not possible. This is done by providing a counterexample to the inclusionE 0 ⋂ Q ⊂R 0, thus answering in the negative a question first posed by Pang.

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Authors and Affiliations

  1. Department of Mathematics, Illinois Wesleyan University, 61701, Bloomington, IL, USA

    M. W. Jeter

  2. Department of Mathematics, University of Southern Mississippi, 39406-5045, Hattiesburg, MS, USA

    W. C. Pye

Authors
  1. M. W. Jeter
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  2. W. C. Pye
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Jeter, M.W., Pye, W.C. An example of a nonregular semimonotoneQ-matrix. Mathematical Programming 44, 351–356 (1989). https://doi.org/10.1007/BF01587097

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  • DOI: https://doi.org/10.1007/BF01587097

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