RATIONAL APPROXIMATION OF DECAY-TYPE FUNCTIONS

Abstract

Numerically given functions with exponential asymptotic behavior are approximated by rational expressions. The numerators are obtained from the nodes of the functions, and the denominators are powers of polynomials, whose coefficients are obtained by expansion in orthogonal polynominals. Different weights are discussed for uniform absolute or relative errors. An iterative procedure is further described to improve the least-squares approximation to one of Chebyshev-type best fit. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1961
Accession Number
AD0271370

Entities

People

  • Klaus Appel

Organizations

  • Uppsala University

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.