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Author:   M.G. de Bruin ,  H. van Rossum
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1981 ed.
Volume:   888
Dimensions:   Width: 17.00cm , Height: 2.00cm , Length: 25.00cm
Weight:   1.230kg
ISBN:  

9783540111542

ISBN 10:   3540111549
Pages:   388
Publication Date:   01 October 1981
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Language:   English & French

Table of Contents

The long history of continued fractions and Padé approximants.- Efficient reliable rational interpolation.- Non-linear splines, some applications to singular problems.- On the conditioning of the Padé approximation problem.- Pade-approximations in number theory.- Error analysis of incoming and outgoing schemes for the trigonometric moment problem.- Generalized rational correctors.- Sur une généralisation de l'interpolation rationnelle.- Numerical comparison of abstract Pade-approximants and abstract rational approximants with other generalizations of the classical pade-approximant.- Choix automatique entre suites de parametres dans l'extrapolation de richardson.- Quelques resultats sur la structure des tables de pade-hermite.- Approximants of exponential type general orthogonal polynomials.- Multipoint Padé approximants converging to functions of Stieltjes' type.- Pade approximant inequalities for the functions of the class S.- Acceleration of convergence of power iterative process.- Generalized order star theory.- Singularities of functions determined by the poles of Padé approximants.- Pade approximants and related methods for computing boundary values on cuts.- Acceleration de la convergence pour certaines suites a convergence logarithmique.- Difficulties of convergence acceleration.- On the even extension of an M fraction.- Rate of convergence of sequences of pade-type approximants and pole detection in the complex plane.- Recurrence coefficients in case of Anderson localisation.- Atomic radiative transitions in strong fields via pade approximants.- On two general algorithms for extrapolation with applications to numerical differentiation and integration.- Formally biorthogonal polynomials.- The Padé table and its connection with some weak exponentialfunction approximations to laplace transform inversion.- On some conditions for convergence of branched continued fractions.- Rational interpolation to meromorphic functions.

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