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The differential correction algorithm for generalized rational functions

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Constructive Approximation Aims and scope

Abstract

The differential correction algorithm for generalized rational functions is described, and two theorems on convergence and order of convergence are given. An example shows that the order of convergence may deteriorate from superlinear to linear when a best generalized rational approximation does not exist.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Texas, 78712, Austin, Texas, USA

    E. W. Cheney

  2. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CB3 9EW, Cambridge, England

    M. J. D. Powell

Authors
  1. E. W. Cheney
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  2. M. J. D. Powell
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Communicated by Dietrich Braess.

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Cheney, E.W., Powell, M.J.D. The differential correction algorithm for generalized rational functions. Constr. Approx 3, 249–256 (1987). https://doi.org/10.1007/BF01890568

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  • DOI: https://doi.org/10.1007/BF01890568

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