Homeier, Herbert H. H. (1998) On the stability of the J transformation. NUMERICAL ALGORITHMS, 17 (3-4). pp. 223-239. ISSN 1017-1398, 1572-9265
Full text not available from this repository.Abstract
The stability of a large class of nonlinear sequence transformations is analyzed. Considered are variants of the T transformation [17]. Suitable variants of this transformation belong to the most successful extrapolation algorithms that are known [20]. Similar to recent results of Sidi, it is proved that the pJ transformations, the Weniger S transformation, the Levin transformation and a special case of the generalized Richardson extrapolation process of Sidi are S-stable. An efficient algorithm for the calculation of stability indices is presented. A numerical example demonstrates the validity of the approach.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RICHARDSON EXTRAPOLATION PROCESS; SEQUENCE TRANSFORMATIONS; CONVERGENCE; ALGORITHM; SERIES; convergence acceleration; extrapolation; summation of divergent series; hierarchical consistency; algorithms |
| Subjects: | 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Mar 2023 09:44 |
| Last Modified: | 01 Mar 2023 09:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/50277 |
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