Padé approximation and its applications, Amsterdam 1980 : proceedings of a conference held in Amsterdam, the Netherlands, October 29-31, 1980
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書誌事項
Padé approximation and its applications, Amsterdam 1980 : proceedings of a conference held in Amsterdam, the Netherlands, October 29-31, 1980
（Lecture notes in mathematics, 888）
Springer-Verlag, 1981
- : Berlin
- : New York
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内容説明・目次
目次
The long history of continued fractions and Pade approximants.- Efficient reliable rational interpolation.- Non-linear splines, some applications to singular problems.- On the conditioning of the Pade approximation problem.- Pade-approximations in number theory.- Error analysis of incoming and outgoing schemes for the trigonometric moment problem.- Generalized rational correctors.- Sur une generalisation 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 Pade 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 Pade 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 Pade table 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.
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