Pade Approximation and its Applications

Pad hebychev Approximants.- Sur la r larit es proc s ?2 d'Aitken et W de Lubkin.- D nstration alg ique de l'extension de l'identit e Wynn aux tables de Pad on normales.- Abstract Pad pproximants in operator theory.- Approximation de Pad ermite.- Ensembles de suites et de proc s li pour l'acc ration 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 Pad able : Two approaches.- The numerical calculation of Pad pproximants.- 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 Pad pproximants.

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.