Rational Functions with Prescribed Global and Local Minimizers

  • Authors:

  • Arnold Neumaier

  • Affiliations:

  • Institut fü/r Mathematik, Universitä/t Wien, Strudlhofgasse 4, A-1090 Wien, Austria (e-mail: arnold.neumaier@univie.ac.at/ www: http://www.mat.univie.ac.at/neum/)

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2003

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Abstract

A family of multivariate rational functions is constructed. It has strong local minimizers with prescribed function values at prescribed positions. While there might be additional local minima, such minima cannot be global. A second family of multivariate rational functions is given, having prescribed global minimizers and prescribed interpolating data.