Quadratic Interpolation is Risky.

Abstract

This brief note points out that the method of quadratic interpolation, which has been recommended in the literature for minimizing a function of one variable, can be very undependable. In particular, unless the function being minimized is itself quadratic, the method may break down no matter how close to the minimizer one starts. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1978
Accession Number
ADA054558

Entities

People

  • Stephen M. Robinson

Organizations

  • University of Wisconsin–Madison

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  • Materials and Manufacturing Processes

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  • Algorithms
  • Applied Mathematics
  • Computations
  • Evolutionary Algorithms
  • Interpolation
  • Literature
  • Mathematical Analysis
  • Mathematical Programming
  • Mathematics
  • Military Research
  • New York
  • Nonlinear Programming
  • North Carolina
  • Operations Research
  • Security
  • Statistical Algorithms
  • United States

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  • Approximation Theory.
  • Educational Psychology
  • Operations Research