Generalization of Borchardt's algorithm
Authors:
Abstract
The two-element arithmetic-geometric mean algorithm, which constitutes an example of approximating a multivalued transcendental function of one variable by means of an algebraic one, was introduced into consideration by C. F. Gauss.
Область исследования:
(Archived) Without section
References
- Vainger M. I. O convergence algorithm v. Borchardt. Journal of Mining Institute, vol. XLIII. vol. 3, 1964.
- Zhuravsky A. M. Algorithm medium arithmetic-geometric. Journal of Mining Institute, vol. XLIII, iss. 3, 1964.
- Borchardt W. Monatsber. Konigl. Akad. Wiss., 1876.
- Borchardt W. Abhandl. Konigl. Akad. Wiss., 1878.
- Geppert H. J. reine und angew. Math., Bd 161, 1929.
- Hettner G. J. J. reine und angew. Math., Bd 89, 1880.
- Hettner G. J. J. reine und angew. Math., Bd 112, 1893.
Similar articles
Toward the Estimation of Sharp Deviating Observations in the Indicative Distribution
1968 N. Ya. Golovenchits
Determination of the natural frequency of an inertial pendulum with a load at large oscillations
1968 L. S. Burshtein, Zh. M. Vilenskaya, A. F. Zakharevich