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Numerical validation of solutions of complementarity The nonlinear case

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Summary.

This paper proposes a validation method for solutions of nonlinear complementarity problems. The validation procedure performs a computational test. If the result of the test is positive, then it is guaranteed that a given multi-dimensional interval either includes a solution or excludes all solutions of the nonlinear complementarity problem.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Karlsruhe, Kaiserstraße 12, 76128 Karlsruhe, Germany; e-mail: goetz.alefeld@math.uni-Karlsruhe.de , , , , , , DE

    G.E. Alefeld

  2. Department of Mathematics and Computer Science, Shimane University, Matsue 690-8504, Japan , , , , , , JP

    X. Chen

  3. Department of Mathematics and Statistics, University of Maryland Baltimore County, 1000 Hilltop Circle Baltimore, MD 21250, USA , , , , , , US

    F.A. Potra

Authors
  1. G.E. Alefeld
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  2. X. Chen
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  3. F.A. Potra
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Received September 22, 2000 / Revised version received April 11, 2001 / Published online October 17, 2001

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Alefeld, G., Chen, X. & Potra, F. Numerical validation of solutions of complementarity The nonlinear case. Numer. Math. 92, 1–16 (2002). https://doi.org/10.1007/s002110100351

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  • DOI: https://doi.org/10.1007/s002110100351

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