Padé Approximation and its Applications

Padé Approximation and its Applications Proceedings of a Conference held in Antwerp, Belgium, 1979 / [electronic resource] : edited by Luc Wuytack. - VIII, 396 p. online resource. - Lecture Notes in Mathematics, 765 0075-8434 ; . - Lecture Notes in Mathematics, 765 .

Padé-Chebychev Approximants -- Sur la régularité des procédés ?2 d'Aitken et W de Lubkin -- Démonstration algébrique de l'extension de l'identité de Wynn aux tables de Padé non normales -- Abstract Padé-approximants in operator theory -- Approximation de Padé-Hermite -- Ensembles de suites et de procédés liés pour l'accélération de la convergence -- Valleys in c-table -- Recurrence coefficients for orthogonal polynomials on connected and non-connected sets -- Orthogonal expansions in indefinite inner product spaces -- Sur le calcul de certains rapports de determinants -- Recursive algorithms for the Padé table : Two approaches -- The numerical calculation of Padé approximants -- Sur le calcul de l'exponentielle d'une matrice -- A reliable method for rational interpolation -- Rational predictor-corrector methods for nonlinear volterra integral equations of the second kind -- On a summability method -- Pade approximants and rational functions as tools for finding poles and zeros of analytical functions measured experimentally -- Some properties of rational methods for solving ordinary differential equations -- Recent references on sequences and series transformations -- Commented bibliography on techniques for computing Padé Approximants.

9783540385110

10.1007/BFb0085571 doi


Numerical analysis.
Numerical Analysis.

QA297-299.4

518
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