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A general extrapolation algorithm
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/sapm19553411openalex-snapshot
Non‐linear Transformations of Divergent and Slowly Convergent Sequences
inferredcites →https://doi.org/10.1007/bf01236936openalex-snapshot
Confluent forms of certain non-linear algorithms
inferredcites →https://doi.org/10.1007/bf01396017openalex-snapshot
The general Neville-Aitken-algorithm and some applications
inferredcites →https://doi.org/10.1007/bf01930850openalex-snapshot
Generalized neville type extrapolation schemes
inferredcites →https://doi.org/10.1007/bf02575753openalex-snapshot
Generalisations de la transformation de shanks, de la table de Pade et de l'ε-algorithme
inferredcites →https://doi.org/10.1007/bfb0085577openalex-snapshot
Ensembles de suites et de procédés liés pour l'accélération de la convergence
inferredcites →https://doi.org/10.1007/bfb0085581openalex-snapshot
Sur le calcul de certains rapports de determinants
inferredcites →https://doi.org/10.1007/bfb0089363openalex-snapshot
Accélération de la Convergence en Analyse Numérique
inferredcites →https://doi.org/10.1017/s030500410003173xopenalex-snapshot
On a Procrustean technique for the numerical transformation of slowly convergent sequences and series
inferredcites →https://doi.org/10.1080/00207167308803075openalex-snapshot
Development of non-linear transformations for improving convergence of sequences
inferredcites →https://doi.org/10.1090/s0025-5718-1968-0229368-6openalex-snapshot
The generalized 𝐺-transform
inferredcites →https://doi.org/10.1090/s0025-5718-1969-0260172-xopenalex-snapshot
Some limiting cases of the 𝐺-transformation
inferredcites →https://doi.org/10.1093/imamat/24.3.327openalex-snapshot
Some Properties of a Generalization of the Richardson Extrapolation Process
inferredcites →https://doi.org/10.1137/0703007openalex-snapshot
On the Convergence and Stability of the Epsilon Algorithm
inferredcites →https://doi.org/10.1137/0710001openalex-snapshot
An Algorithm for the Computation of the Higher Order G -Transformation
inferredcites →https://doi.org/10.1137/0716017openalex-snapshot
Acceleration of Linear and Logarithmic Convergence
inferredcites →https://doi.org/10.2307/2006242openalex-snapshot
Algorithmes d'Acceleration de la Convergence Etude Numerique.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Some applications of nonlinear convergence accelerators
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Some applications of nonlinear convergence accelerators
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Topics on Nonlinear Differential Equations
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Regularization of Ill-Conditioned Systems
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Locating the Closest Singularity in a Polynomial Homotopy
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Generalizations of Richardson Extrapolation with Applications to Numerical Integration
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A Generalized Sylvester’s Identity on Determinants and its Applications to Interpolation Problems
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Numerical Solutions of Fractional Differential Equations by Extrapolation
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Transformation, Reduction and Extrapolation Techniques for Feynman Loop Integrals
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Accelerating The Convergence of Linear Sequences
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Automatic Selection of Sequence Transformations
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Different Techniques for the Construction of Multivariate Rational Interpolants
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A New Approach to Convergence Acceleration Methods
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Asymptotic Expansions and Their Applications in Numerical Integration
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KdV Equations and Integrability Detectors
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Pade Approximation in One and More Variables
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Rational Hermite Interpolation in One and More Variables
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Error Estimates in Padé Approximation
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3-Loop Feynman Diagram Computations in Quantum Field Theory Using Sector Decomposition and Numerical Extrapolation
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Control of Planar Underactuated Manipulator with a Passive First Joint
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Asymptotisches Verhalten und Konvergenzbeschleunigung von Iterationsfolgen
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An algorithm for a special case of a generalization of the Richardson extrapolation process
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Further results on convergence and stability of a generalization of the Richardson extrapolation process
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Estimation of convergence orders in repeated richardson extrapolation
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Remarks on a unified theory for classical and generalized interpolation and extrapolation
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An algorithm for generalized rational interpolation
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Acceleration property for the columns of the E-algorithm
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Non-commutative extrapolation algorithms
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Multivariate rational data fitting: general data structure, maximal accuracy and object orientation
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Acceleration results for the vector E-algorithm
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A look-ahead strategy for the implementation of some old and new extrapolation methods
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An algebraic approach to the vector ε-algorithm
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Extensions of Levin's transformations to vector sequences
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A hierarchically consistent, iterative sequence transformation
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Well-defined determinant representations for non-normal multivariate rational interpolants
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Acceleration property for the E-algorithm and an application to the summation of series
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A general extrapolation procedure revisited
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Error estimate in pade approximation
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Some determinantal identities in a vector space, with applications
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Determinantal representations for the J transformation
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Extrapolation techniques for ill-conditioned linear systems
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Acceleration of generalized hypergeometric functions through precise remainder asymptotics
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The genesis and early developments of Aitken’s process, Shanks’ transformation, the ε–algorithm, and related fixed point methods
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A simple extrapolation method
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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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Convergence acceleration of continued fractions of poincaré's type
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Prediction properties of some extrapolation methods
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Sequence transformations as statistical tools
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Recursive algorithms for vector extrapolation methods
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Determinantal expression for partial Padé approximants
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Increasing the convergence modulus of an asymptotic expansion
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Construction of extrapolation processes
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REMARKS ON SOME MODIFIED ROMBERG ALGORITHMS FOR NUMERICAL INTEGRATION
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New vector sequence transformations
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A Schur complement approach to a general extrapolation algorithm
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Matrix extrapolation algorithms
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Methods for enhancing numerical integration
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Biorthogonal vector sequence transformations and Padé approximation of vector series
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Quasi-linear sequence transformations and their construction
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Convergence acceleration of some Gaussian quadrature formulas for analytic functions
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Vector and matrix sequence transformations based on biorthogonality
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Some results of convergence acceleration for a general ϑ-type algorithm
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A new technique of selection between sequence transformations
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Asymptotic expansions and numerical approximation of nonlinear degenerate boundary-value problems
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Numerical Analysis 2000 Vol. II: Interpolation and extrapolation
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Elimination techniques: from extrapolation to totally positive matrices and CAGD
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Scalar Levin-type sequence transformations
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Convergence acceleration during the 20th century
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The E-algorithm and the Ford–Sidi algorithm
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On condition numbers of the Shanks transformation
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Numerical solution of a nonuniquely solvable Volterra integral equation using extrapolation methods
inferred← citeshttps://doi.org/10.1016/s0377-0427(97)00009-5openalex-snapshot
Algorithm for the E-prediction
inferred← citeshttps://doi.org/10.1016/s0377-0427(98)00119-8openalex-snapshot
Vector sequence transformations: Methodology and applications to linear systems
inferred← citeshttps://doi.org/10.1016/s0377-0427(98)00194-0openalex-snapshot
On condition numbers of some quasi-linear transformations
inferred← citeshttps://doi.org/10.1016/s0377-0427(99)00053-9openalex-snapshot
On the acceleration of two classes of sequences by the Θ-algorithm
inferred← citeshttps://doi.org/10.1016/s0764-4442(98)80132-8openalex-snapshot
Accélération de la convergence par le gQ-algorithme
inferred← citeshttps://doi.org/10.1016/s0893-9659(98)00167-0openalex-snapshot
Convergence acceleration of logarithmically convergent series avoiding summation
inferred← citeshttps://doi.org/10.1016/s0898-1221(03)80014-7openalex-snapshot
Extrapolation methods for improving the convergence of oligomer calculations to the infinite chain limit of quasi-one-dimensional stereoregular polymers
inferred← citeshttps://doi.org/10.1017/cbo9780511606359openalex-snapshot
Bäcklund and Darboux Transformations
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.002openalex-snapshot
General Introduction and Outline
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.003openalex-snapshot
Pseudospherical Surfaces and the Classical Bäcklund Transformation. The Bianchi System
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.004openalex-snapshot
The Motion of Curves and Surfaces. Soliton Connections
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.005openalex-snapshot
Tzitzeica Surfaces. Conjugate Nets and the Toda Lattice Scheme
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.006openalex-snapshot
Hasimoto Surfaces and the Nonlinear Schrödinger Equation. Geometry and Associated Soliton Equations
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.007openalex-snapshot
Isothermic Surfaces. The Calapso and Zoomeron Equations
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.008openalex-snapshot
General Aspects of Soliton Surfaces. Role of Gauge and Reciprocal Transformations
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.009openalex-snapshot
Bäcklund Transformation and Darboux Matrix Connections
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.010openalex-snapshot
Bianchi and Ernst Systems. Bäcklund Transformations and Permutability Theorems
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.011openalex-snapshot
Projective-Minimal and Isothermal-Asymptotic Surfaces
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.012openalex-snapshot
Thesu(2)–so(3) Isomorphism
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.015openalex-snapshot
Bibliography and Author Index
inferred← citeshttps://doi.org/10.1017/s0013091500019295openalex-snapshot
Matrix and vector sequence transformations revisited
inferred← citeshttps://doi.org/10.1023/a:1016636524488openalex-snapshot
On the stability of the J transformation
inferred← citeshttps://doi.org/10.1023/a:1019147432240openalex-snapshot
Numerical solution of fractional order differential equations by extrapolation
inferred← citeshttps://doi.org/10.1023/a:1025579014066openalex-snapshot
Multivariate Two-Point Padé-Type and Two-Point Padé Approximants
inferred← citeshttps://doi.org/10.1051/m2an/1984180201531openalex-snapshot
The combination of approximate solutions for accelerating the convergence
inferred← citeshttps://doi.org/10.1051/m2an/1996300100831openalex-snapshot
Sélection entre procédés d'accélération de la convergence
inferred← citeshttps://doi.org/10.1063/1.1643787openalex-snapshot
Mathematical properties of a new Levin-type sequence transformation introduced by Čıžek, Zamastil, and Skála. I. Algebraic theory
inferred← citeshttps://doi.org/10.1063/1.449922openalex-snapshot
Use of nonlinear convergence accelerators for the efficient evaluation of GTO molecular integrals
inferred← citeshttps://doi.org/10.1063/1.530262openalex-snapshot
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
inferred← citeshttps://doi.org/10.1080/00150517.2001.12428754openalex-snapshot
Application of the ε-Algorithm to the Ratios of r -Generalized Fibonacci Sequences
inferred← citeshttps://doi.org/10.1080/00150517.2004.12428426openalex-snapshot
On the E -Algorithm for Polynomial Roots and Linear Recurrence Relations
inferred← citeshttps://doi.org/10.1088/0034-4885/48/1/002openalex-snapshot
Microcomputer calculations in physics
inferred← citeshttps://doi.org/10.1088/0305-4470/36/20/201openalex-snapshot
The Bloch wave operator: generalizations and applications: Part I. The time-independent case
inferred← citeshttps://doi.org/10.1088/0305-4470/36/40/r01openalex-snapshot
The Bloch wave operator: generalizations and applications: II. The time-dependent case
inferred← citeshttps://doi.org/10.1088/1742-6596/2438/1/012147openalex-snapshot
Numerical Regularization for 4-loop Self-Energy Feynman Diagrams
inferred← citeshttps://doi.org/10.1088/1742-6596/3206/1/012131openalex-snapshot
Loop integral computation in the Euclidean or physical kinematical region using numerical integration and extrapolation
inferred← citeshttps://doi.org/10.1090/s0025-5718-1981-0616372-5openalex-snapshot
Automatic selection of sequence transformations
inferred← citeshttps://doi.org/10.1090/s0025-5718-1982-0658218-6openalex-snapshot
Some New Convergence Acceleration Methods
inferred← citeshttps://doi.org/10.1090/s0025-5718-2011-02554-8openalex-snapshot
Multistep $𝜖$–algorithm, Shanks’ transformation, and the Lotka–Volterra system by Hirota’s method
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