Analysis of Some Padé--Chebyshev Approximants

  • Authors:
  • Sidi Mahmoud Kaber

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Numerical Analysis
  • Year:
  • 2005

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Abstract

We present some rational approximations of the sign function and analyze their convergence. The rate of convergence is shown to increase with the degree of the denominator of the rational approximation. Several numerical tests are presented.