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
Funding:
None
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
Frequency study of a gyrotachometer taking into account the finite stiffness of its supporting structures
1968 M. A. Uzkaya
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