Generalization of Borchardt's algorithm
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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.
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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.