The need for knowledge and reliability in numeric computation: Case study of multivariate Padé approximation

DOI10.1007/BF00995490zbMath0799.65012OpenAlexW2014647826MaRDI QIDQ1327438

Annie A. M. Cuyt, Brigitte M. Verdonk

Publication date: 18 July 1994

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00995490

zbMATH Keywords

beta functioninterval arithmeticmultivariate Padé approximationdefect correction algorithm

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Interval and finite arithmetic (65G30) Padé approximation (41A21) Computation of special functions and constants, construction of tables (65D20) Multidimensional problems (41A63) Algorithms for approximation of functions (65D15)

Related Items (4)

On the fast solution of Toeplitz-block linear systems arising in multivariate approximation theory ⋮ An adaptive strategy for the bivariate solution of finite element problems using multivariate nested Padé approximants ⋮ How well can the concept of Padé approximant be generalized to the multivariate case? ⋮ A finite sum representation of the Appell series \(F_1 (a, b, b^{\prime}; c; x, y)\)

Uses Software

• SENAC

Cites Work

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• A multivariate convergence theorem of the ``de Montessus de Ballore type
• A Montessus de Ballore theorem for multivariate Padé approximants
• The QD-algorithm and multivariate Padé-approximants
• Padé approximants for operators: theory and applications
• General order Newton-Padé approximants for multivariate functions
• A review of multivariate Padé approximation theory
• Multivariate Padé approximants revisited
• A multivariate QD-like algorithm
• The epsilon-algorithm and multivariate Padé-approximants
• Extension of ``A multivariate convergence theorem of the ``de Montessus de Ballore type to multipoles
• On the convergence of Padé approximants
• The convergence of Padé approximants of meromorphic functions
• General Order Padè-type Rational Approximants Defined from Double Power Series
• SENAC
• A Recursive Computation Scheme for Multivariate Rational Interpolants
• A Comparison of Some Multivariate Padé-Approximants

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