Pade Approximation and its Applications, Amsterdam 1980

Anglický jazyk

Pade Approximation and its Applications, Amsterdam 1980

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O knihe

The long history of continued fractions and Pad¿pproximants.- Efficient reliable rational interpolation.- Non-linear splines, some applications to singular problems.- On the conditioning of the Pad¿pproximation problem.- Pade-approximations in number theory.- Error analysis of incoming and outgoing schemes for the trigonometric moment problem.- Generalized rational correctors.- Sur une g¿ralisation 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 Pad¿pproximants 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 Pad¿pproximants.- 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 Pad¿able and its connection with some weak exponential function approximations to laplace transform inversion.- On some conditions for convergence of branched continued fractions.- Rational interpolation to meromorphic functions.