Selecting the roots of a small system of polynomial equations by tolerance based matching

  • Authors:
  • H. Bekker;E. P. Braad;B. Goldengorin

  • Affiliations:
  • Department of Mathematics and Computing Science;Department of Mathematics and Computing Science;Faculty of Economic Sciences, University of Groningen, Groningen, The Netherlands

  • Venue:
  • WEA'05 Proceedings of the 4th international conference on Experimental and Efficient Algorithms
  • Year:
  • 2005

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Abstract

The roots of a system of two bivariate polynomial equations are calculated using a two-step method. First all x-roots and y-roots are determined independently. Then tolerance based weighted matching is used to form (x,y)-pairs that together form a minimum-error solution to the system.