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