On the block structure of the Laurent-Padé table

  • A. Bultheel
Block Structure
Part of the Lecture Notes in Mathematics book series (LNM, volume 1105)


Some ideas on the block structure of a formal Laurent-Padé table will be given. The structure is derived from the block structure of the table of Toeplitz determinants which also defines the blocks of a classical Padé table.


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  1. [1]
    W. B. Gragg: The Padé table and its relations to certain algorithms of numerical analysis. SIAM Review, 14, 1972, pp. 1–62.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    W. B. Gragg and G. D. Johnson: The Laurent-Padé table. In Proc. IFIP congress 1974, North-Holland, 1974, pp. 632–637.Google Scholar
  3. [3]
    K. O. Geddes: Block structure in the Chebyshev-Padé table. SIAM J. Numer. Anal. 18, 1981, pp. 844–861.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • A. Bultheel
    • 1
  1. 1.Department of Computer ScienceK.U. LeuvenLeuvenBelgium

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