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Sufficient matrices belong to L

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Abstract

In this paper, we establish a significant matrix class inclusion that seems to have been overlooked in the literature of the linear complementarity problem. We show that P*, the class of sufficient matrices, is a subclass of L. In the course of demonstrating this inclusion, we introduce other new matrix classes that forge interesting new connections between known matrix classes.

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Authors and Affiliations

  1. Department of Industrial Engineering and Operations Research, University of California, Berkeley, CA, 94720, USA

    Ilan Adler

  2. Department of Management Science and Engineering, Stanford University, Stanford, CA, 94305- 4026, USA

    Richard W. Cottle

  3. Signal Demand, Inc., 340 Brannan Street, San Francisco, CA, 94107, USA

    Sushil Verma

Authors
  1. Ilan Adler
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  2. Richard W. Cottle
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  3. Sushil Verma
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Correspondence to Richard W. Cottle.

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Adler, I., Cottle, R. & Verma, S. Sufficient matrices belong to L. Math. Program. 106, 391–401 (2006). https://doi.org/10.1007/s10107-005-0639-7

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  • DOI: https://doi.org/10.1007/s10107-005-0639-7

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