Homeier, Herbert H. H. (1996) Analytical and numerical studies of the convergence behavior of the J transformation. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 69 (1). pp. 81-112. ISSN 0377-0427
Full text not available from this repository.Abstract
A new nonlinear sequence transformation, the iterative g transformation, was proposed recently by the author (1993). For this transformation, a derivation based on the method of hierarchical consistency, alternative recursive representations, general properties, an explicit expression for the kernel, model sequences, and its relation to other sequence transformations have been given (the author, 1994). The g transformation is of similar generality as the well-known E algorithm (Brezinski, 1980; Havie, 1979). In the present contribution, some results on convergence acceleration properties of the g transformation are proved. Numerical test results are presented which show that the g transformation is a very powerful computational tool for convergence acceleration, extrapolation, and summation of divergent series.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SEQUENCE TRANSFORMATIONS; ANHARMONIC-OSCILLATORS; PERTURBATION-SERIES; EXPANSIONS; SUMMATION; EXTRAPOLATION; ACCELERATION; convergence acceleration; extrapolation; summation of divergent series; hierarchical consistency; iterative sequence transformations; Levin-type transformations; E algorithm; linear convergence; logarithmic convergence; stieltjes series |
| Subjects: | 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Jul 2023 09:41 |
| Last Modified: | 06 Jul 2023 09:41 |
| URI: | https://pred.uni-regensburg.de/id/eprint/51764 |
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