Pade Approximation and its Applications, Amsterdam, 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