The epsilon-algorithm and multivariate Padé-approximants

DOI10.1007/BF01459073zbMath0499.65005MaRDI QIDQ1171861

Annie A. M. Cuyt

Publication date: 1982

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132812

zbMATH Keywords

sequence transformationmultivariate functionepsilon-algorithmmultivariate power seriesPade-approximantspartial sums of power series

Mathematics Subject Classification ID

Padé approximation (41A21) Multidimensional problems (41A63) Algorithms for approximation of functions (65D15) Numerical summation of series (65B10)

Related Items (8)

The need for knowledge and reliability in numeric computation: Case study of multivariate Padé approximation ⋮ A direct approach to convergence of multivariate, nonhomogeneous, Padé approximants ⋮ Adapted multivariate Padé approximation ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ Accelerating the convergence of a table with multiple entry ⋮ A new rational approximation technique based on transformational high dimensional model representation ⋮ How well can the concept of Padé approximant be generalized to the multivariate case? ⋮ Multivariate rational interpolation

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