Padé Approximation and its Applications [electronic resource] : Proceedings of a Conference held in Antwerp, Belgium, 1979 / edited by Luc Wuytack.

Contributor(s): Wuytack, Luc [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 765Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1979Description: VIII, 396 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540385110Subject(s): Mathematics | Mathematics | Mathematics, generalAdditional physical formats: Printed edition:: No titleDDC classification: 510 LOC classification: QA1-939Online resources: Click here to access online
Contents:
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.
In: Springer eBooks
Item type: E-BOOKS
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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.

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