Asymptotic behaviour of iterated modified \(\Delta^ 2\) and \(\theta_ 2\) transforms on some slowly convergent sequences
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Publication:688140
DOI10.1007/BF02141947zbMath0784.65003MaRDI QIDQ688140
Publication date: 6 December 1993
Published in: Numerical Algorithms (Search for Journal in Brave)
convergence accelerationasymptotic behaviourAitken's delta-square transformiterated Lubkin's transform
Related Items
A convergence and stability study of the iterated Lubkin transformation and the $\theta$-algorithm, Acceleration of convergence of some infinite sequences \(\{A_n\}\) whose asymptotic expansions involve fractional powers of \(n\) via the \(\widetilde{d}^{(m)}\) transformation, Comparison of four nonlinear transforms on some classes of logarithmic fixed point sequences, Interpolation and convergence of Bernstein-Bézier coefficients, Irregular input data in convergence acceleration and summation processes: General considerations and some special Gaussian hypergeometric series as model problems, Prediction proberties of Aitken's iterated \(\Delta^2\) process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm
Cites Work
- Convergence acceleration of some logarithmic sequences
- Convergence acceleration of logarithmic fixed point sequences
- Extrapolation of asymptotic expansions by a modified Aitken \(delta^ 2- \)formula
- Comparison of four algorithms accelerating the convergence of a subset of logarithmic fixed point sequences
- Summing a common type of slowly convergent series of positive terms
- A Convergence Acceleration Method for Some Logarithmically Convergent Sequences
