Transforming logarithmic to linear convergence by interpolation
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Publication:1808965
DOI10.1016/S0893-9659(98)00141-4zbMath0936.65004OpenAlexW2045335412MaRDI QIDQ1808965
Publication date: 25 November 1999
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00141-4
convergence accelerationrational interpolationextrapolationlinear convergenceepsilon algorithmlogarithmic convergencereciprocal differences
Related Items (3)
Introduction to the determinantal formulae for the Levin-type algorithms ⋮ Convergence acceleration of logarithmically convergent series avoiding summation ⋮ Scalar Levin-type sequence transformations
Cites Work
- Accelerable subsets of logarithmic sequences
- Sequence transformations and their applications
- 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
- Extrapolation methods theory and practice
- Convergence acceleration of logarithmically convergent series avoiding summation
- Vector sequence transformations for the acceleration of logarithmic convergence
- Analytical and numerical studies of the convergence behavior of the \({\mathcal J}\) transformation
- An acceleration theorem for the \(\rho\)-algorithm
- Convergence speeding, convergence and summability
- Convergence Acceleration by Extraction of Linear Subsequences
- The Set of Logarithmically Convergent Sequences Cannot be Accelerated
- Summing a common type of slowly convergent series of positive terms
- Acceleration of Linear and Logarithmic Convergence
- A Convergence Acceleration Method for Some Logarithmically Convergent Sequences
- Convergence Analysis for a Generalized Richardson Extrapolation Process with an Application to the d (1) -Transformation on Convergent and Divergent Logarithmic Sequences
- Development of non-linear transformations for improving convergence of sequences
- On a Device for Computing the e m (S n ) Transformation
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