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Problems in numerical chebyshev approximation by interpolating rationals

  • B. Nelson
  • Jack Williams
Numerical Methods
  • 476 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1105)

Abstract

We describe some theory and practice for the problem of real Chebyshev approximation to a continuous function f(x) whose zeros (if any) in the range of interest are known. Our typical approximant is of the form B(x) (P(x)/Q(x))P, where B(x) is a specified continuous function having the same zeros as f(x), p is specified and P(x), Q(x) are polynomials.

Keywords

Error Curve Levelling Equation Exchange Algorithm Decimal Digit Chebyshev Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • B. Nelson
    • 1
  • Jack Williams
    • 1
  1. 1.Department of MathematicsUniversity of ManchesterManchesterEngland

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