An interval method for bounding level sets of parameter estimation problems

Research output: Contribution to journalArticle

9 Citations (Scopus)


A new method is presented using inclusive functions and interval arithmetic for bounding the level sets of nonlinear parameter estimation problems with objective function of sum-of-squares type. The result box bounding a level set conveys more information for the user than the usual local minimum points do. The rate of convergence is in general linear, in special cases it can be superlinear or higher. The condition of convergence is studied, and examples are shown.

Original languageEnglish
Pages (from-to)75-86
Number of pages12
Issue number1-2
Publication statusPublished - Mar 1 1989


  • AMS Subject Classifications: 65K05, 90C30
  • Parameter estimation
  • inclusion function
  • interval arithmetic
  • level set

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Computer Science Applications
  • Computational Theory and Mathematics
  • Computational Mathematics

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