A Combined Remes - Differential Correction Algorithm for Rational Approximation: Experimental Results.

Abstract

A numerical study is done comparing three algorithms for computing best rational approximations using the uniform (Chebyshev) norm. The experimental results and theoretical considerations indicate that the Remes-difcor algorithm is superior as a general-purpose routine to both the widely-used Remes algorithm and the differential correction algorithm. The three algorithms are briefly described and discussed, and the experimental results for 70 examples are presented in six tables. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1979
Accession Number
ADA071947

Entities

People

  • D. J. Leeming
  • E. H. Kaufman Jr.
  • Gerald D. Taylor

Organizations

  • Colorado State University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Canada
  • Chebyshev Polynomials
  • Computations
  • Computers
  • Convergence
  • Data Sets
  • Equations
  • Iterations
  • Mathematics
  • Nonlinear Systems
  • Polynomials
  • Rational Functions
  • Scientific Research
  • Universities

Readers

  • Calculus or Mathematical Analysis
  • Parallel and Distributed Computing.