Pade Approximation and Its Applications: Proceedings of a Conference Held in Antwerp, Belgium, 1979

ISBN-13: 9783540097174 / Angielski / Miękka / 1979 / 396 str.

L. Wuytack

Spis treści

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.