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
- Weinger M. I. On the convergence of W. Borchardt's algorithm. Zapiski Gornogo Instituta, vol. XLIII, iss. 3, 1964.
- Zhuravsky A. M. Arithmetic-geometric mean algorithm. Zapiski Gornogo Instituta, 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. reine und angew. Math., Bd 89, 1880.
- Hettner G. J. reine und angew. Math., Bd 112, 1893.