Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory (Q4833356)

scientific article; zbMATH DE number 2122930

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English	Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory	scientific article; zbMATH DE number 2122930

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title

Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory (English)

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zbMATH Open document ID

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Ernst Joachim Weniger

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published in

Journal of Mathematical Physics

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publication date

15 December 2004

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full work available at URL

https://arxiv.org/abs/math-ph/0306063

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Mathematics Subject Classification ID

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MaRDI publication profile

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Large-order perturbation theory for a non-Hermitian 𝓟𝓣-symmetric Hamiltonian

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Numerical evidence that the perturbation expansion for a non-Hermitian PT-symmetric Hamiltonian is Stieltjes

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On the regularity of the Levin \(u\)-transform

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Rational interpolation using Levin-Weiniger transforms

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Rational approximation to formal power series

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A general extrapolation algorithm

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Prediction properties of some extrapolation methods

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Extrapolation algorithms and Padé approximations: A historical survey

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A derivation of extrapolation algorithms based on error estimates

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A general extrapolation procedure revisited

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On the kernel of sequence transformations

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Vector and matrix sequence transformations based on biorthogonality

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Matrix and vector sequence transformations revisited

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Padé estimate of QCD's infrared boundary

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New summation technique for rapidly divergent perturbation series. Hydrogen atom in magnetic field

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Divergence of Perturbation Theory in Quantum Electrodynamics

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HURRY: An Acceleration Algorithm for Scalar Sequences and Series

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The Use of Power Expansions in Quantum Field Theory

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An Algorithm for a Generalization of the Richardson Extrapolation Process

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Borel summability and indeterminacy of the Stieltjes moment problem: Application to the anharmonic oscillators

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MAPLE programs for converting series expansions to rational functions using the Levin transformation. Automatic generation of FORTRAN functions for numerical applications

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A Maple package for transforming series, sequences and functions

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Generalized neville type extrapolation schemes

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A Levin-type algorithm for accelerating the convergence of Fourier series

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A hierarchically consistent, iterative sequence transformation

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Determinantal representations for the \(\mathfrak{J}\) transformation

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Analytical and numerical studies of the convergence behavior of the \({\mathcal J}\) transformation

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Scalar Levin-type sequence transformations

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On remainder estimates for Levin-type sequence transformations

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Convergence acceleration via combined nonlinear-condensation transformations

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Numerical evaluation of Hilbert transforms for oscillatory functions: A convergence accelerator approach

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Development of non-linear transformations for improving convergence of sequences

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Linear difference operators and acceleration methods

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A convergence acceleration method of Fourier series

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Extensions of Levin's transformations to vector sequences

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Rational approximants generated by the \(u\)-transform

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Rational approximants using Levin-Weniger transforms

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Multipoint Levin-Weniger approximants and their application to the ground state energies of quantum anharmonic oscillators

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Vereinfachte Rekursionen zur Richardson-Extrapolation in Spezialfällen

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Asymptotics of quantum mechanical atom-ion systems

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A new method for deriving Padé approximants for some hypergeometric functions

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An algorithm for a special case of a generalization of the Richardson extrapolation process

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Prediction Properties of the <i>t</i>-Transformation

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Fifty years of eigenvalue perturbation theory

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Acceleration of Linear and Logarithmic Convergence

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On the summation of some divergent hypergeometric series and related perturbation expansions

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Interpolation between sequence transformations

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A convergent renormalized strong coupling perturbation expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator

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Prediction proberties of Aitken's iterated \(\Delta^2\) process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm

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Irregular input data in convergence acceleration and summation processes: General considerations and some special Gaussian hypergeometric series as model problems

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A rational approximant for the digamma function

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Rational approximations for the modified Bessel function of the second kind

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The summation of the ordinary and renormalized perturbation series for the ground state energy of the quartic, sextic, and octic anharmonic oscillators using nonlinear sequence transformations

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