Extensions of Levin's transformations to vector sequences
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Publication:1192642
DOI10.1007/BF02145380zbMath0759.65001MaRDI QIDQ1192642
Publication date: 27 September 1992
Published in: Numerical Algorithms (Search for Journal in Brave)
Newton's methodconvergence accelerationsingular problemNumerical examplesvector extrapolation methodslogarithmic convergenceLevin's transformation\(H\)-algorithm
Related Items (3)
Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory ⋮ Vector sequence transformations for the acceleration of logarithmic convergence ⋮ Extrapolation methods for some singular fixed point sequences
Cites Work
- Sequence transformations and their applications
- Newton's method and high order singularities
- A general extrapolation algorithm
- Extrapolation of asymptotic expansions by a modified Aitken \(delta^ 2- \)formula
- Two new classes of nonlinear transformations for accelerating the convergence of infinite integrals and series
- Acceleration methods for vector sequences
- Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme
- Acceleration Techniques for Iterated Vector and Matrix Problems
- Extrapolation Methods for Vector Sequences
- A Polynomial Extrapolation Method for Finding Limits and Antilimits of Vector Sequences
- Convergence Properties of Some Nonlinear Sequence Transformations
- Generalized neville type extrapolation schemes
- Acceleration of Linear and Logarithmic Convergence
- Development of non-linear transformations for improving convergence of sequences
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