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Two algorithms

  • Adhemar Bultheel
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 27)

Abstract

In this chapter we give two possible algorithms related to the recursive computation of elements in a Padé table for a fls. The successive approximants have the same numerator degree but the denominator degree increases as we proceed. This means that we move from left to right on a horizontal line in the Padé table. The algorithms are well known methods for the solution of Toeplitz systems [TRE1], [ZOH1] and are related to the methods of Levinson and Schur known in digital filtering theory. Much information on these algorithms and many related ones can be found in a thesis by D.R.Sweet [SWE].

Keywords

Continue Fraction Laurent Series Toeplitz Matrix Toeplitz Matrice Continue Fraction Expansion 
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.

Copyright information

© Birkhäuser Verlag Basel 1987

Authors and Affiliations

  • Adhemar Bultheel
    • 1
  1. 1.Dept. Computer ScienceK. U. LeuvenLeuven-HeverleeBelgium

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