Padé Approximation and its Applications Amsterdam 1980: Proceedings of a Conference Held in Amsterdam, The Netherlands, October 29–31, 1980

The long history of continued fractions and Padé approximants....Pages 1-27 Efficient reliable rational interpolation....Pages 28-63 Non-linear splines, some applications to singular problems....Pages 64-77 On the conditioning of the Padé approximation problem....Pages 78-89 Pade-approximations in number theory....Pages 90-99 Error analysis of incoming and outgoing schemes for the trigonometric moment problem....Pages 100-109 Generalized rational correctors....Pages 110-123 Sur une généralisation de l'interpolation rationnelle....Pages 124-136 Numerical comparison of abstract Pade-approximants and abstract rational approximants with other generalizations of the classical pade-approximant....Pages 137-157 Choix automatique entre suites de parametres dans l'extrapolation de richardson....Pages 158-172 Quelques resultats sur la structure des tables de pade-hermite....Pages 173-184 Approximants of exponential type general orthogonal polynomials....Pages 185-196 Multipoint Padé approximants converging to functions of Stieltjes' type....Pages 197-207 Pade approximant inequalities for the functions of the class S....Pages 208-219 Acceleration of convergence of power iterative process....Pages 220-227 Generalized order star theory....Pages 228-238 Singularities of functions determined by the poles of Padé approximants....Pages 239-254 Pade approximants and related methods for computing boundary values on cuts....Pages 255-262 Acceleration de la convergence pour certaines suites a convergence logarithmique....Pages 263-272 Difficulties of convergence acceleration....Pages 273-289 On the even extension of an M fraction....Pages 290-299 Rate of convergence of sequences of pade-type approximants and pole detection in the complex plane....Pages 300-308 Recurrence coefficients in case of Anderson localisation....Pages 309-313 Atomic radiative transitions in strong fields via pade approximants....Pages 314-325 On two general algorithms for extrapolation with applications to numerical differentiation and integration....Pages 326-340 Formally biorthogonal polynomials....Pages 341-351 The Padé table and its connection with some weak exponential function approximations to laplace transform inversion....Pages 352-362 On some conditions for convergence of branched continued fractions....Pages 363-370 Rational interpolation to meromorphic functions....Pages 371-383