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Rational Approximation and Interpolation pp 160–169Cite as

On the block structure of the Laurent-Padé table

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

Abstract

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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References

  1. W. B. Gragg: The Padé table and its relations to certain algorithms of numerical analysis. SIAM Review, 14, 1972, pp. 1–62.

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  2. W. B. Gragg and G. D. Johnson: The Laurent-Padé table. In Proc. IFIP congress 1974, North-Holland, 1974, pp. 632–637.

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  3. K. O. Geddes: Block structure in the Chebyshev-Padé table. SIAM J. Numer. Anal. 18, 1981, pp. 844–861.

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Author information

Authors and Affiliations

  1. Department of Computer Science, K.U. Leuven, Celestijnenlaan 200A, B-3030, Leuven, Belgium

    A. Bultheel

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  1. A. Bultheel
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Peter Russell Graves-Morris Edward B. Saff Richard S. Varga

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© 1984 Springer-Verlag

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Bultheel, A. (1984). On the block structure of the Laurent-Padé table. In: Graves-Morris, P.R., Saff, E.B., Varga, R.S. (eds) Rational Approximation and Interpolation. Lecture Notes in Mathematics, vol 1105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072409

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  • DOI: https://doi.org/10.1007/BFb0072409

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13899-0

  • Online ISBN: 978-3-540-39113-5

  • eBook Packages: Springer Book Archive

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