Chang, Xiang-Ke and He, Yi and Hu, Xing-Biao and Sun, Jian-Qing and Weniger, Ernst Joachim (2020) Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order. NUMERICAL ALGORITHMS, 83 (2). pp. 593-627. ISSN 1017-1398, 1572-9265
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We construct new sequence transformations based on Wynn's epsilon and rho algorithms. The recursions of the new algorithms include the recursions of Wynn's epsilon and rho algorithm and of Osada's generalized rho algorithm as special cases. We demonstrate the performance of our algorithms numerically by applying them to some linearly and logarithmically convergent sequences as well as some divergent series.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CONVERGENCE ACCELERATION ALGORITHM; REDUCED BESSEL-FUNCTIONS; SHANKS TRANSFORMATION; SEQUENCE TRANSFORMATION; COULOMB INTEGRALS; DIVERGENT SERIES; EXTRAPOLATION; SUMMATION; EXPANSIONS; CONVOLUTION; Convergence acceleration algorithm; Sequence transformation; Epsilon algorithm; Rho algorithm |
| Subjects: | 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 Mar 2021 07:05 |
| Last Modified: | 31 Mar 2021 07:05 |
| URI: | https://pred.uni-regensburg.de/id/eprint/45191 |
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