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Certificates of infeasibility via nonsmooth optimization

Author

Listed:
  • Hannes Fendl

    (University of Vienna Austria)

  • Arnold Neumaier

    (University of Vienna Austria)

  • Hermann Schichl

    (University of Vienna Austria)

Abstract

An important aspect in the solution process of constraint satisfaction problems is to identify exclusion boxes which are boxes that do not contain feasible points. This paper presents a certificate of infeasibility for finding such boxes by solving a linearly constrained nonsmooth optimization problem. Furthermore, the constructed certificate can be used to enlarge an exclusion box by solving a nonlinearly constrained nonsmooth optimization problem.

Suggested Citation

  • Hannes Fendl & Arnold Neumaier & Hermann Schichl, 2017. "Certificates of infeasibility via nonsmooth optimization," Journal of Global Optimization, Springer, vol. 69(1), pages 157-182, September.
    • Handle: RePEc:spr:jglopt:v:69:y:2017:i:1:d:10.1007_s10898-016-0473-x
    DOI: 10.1007/s10898-016-0473-x
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