Summary
The idea of using univariate Padé-approximants to accelerate the convergence of a row [6], which can be regarded as a table with single entry, is here generalized: the multivariate Padé-approximants introduced in [2] and briefly repeated in Sect. 1, can be used to accelerate the convergence of a table with multiple entry. In the univariate as well as in the multivariate case the Padé-approximants can be calculated by means of the ε-algorithm [6, 3]. Section 2 treats a table with double entry, while Sect. 3 treats the general case. Numerical examples are given in Sect. 4.
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Cuyt, A.A.M. Accelerating the convergence of a table with multiple Entry. Numer. Math. 41, 281–286 (1983). https://doi.org/10.1007/BF01390216
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DOI: https://doi.org/10.1007/BF01390216