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Vol 48 Iss. 3
Pages:
3-7
Download volume:
RUS
Article

Generalization of Borchardt's algorithm

Authors:
M. I. Weinger
Date submitted:
1967-09-09
Date accepted:
1967-11-25
Date published:
1968-07-02

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

  1. Vainger M. I. O convergence algorithm v. Borchardt. Journal of Mining Institute, vol. XLIII. vol. 3, 1964.
  2. Zhuravsky A. M. Algorithm medium arithmetic-geometric. Journal of Mining Institute, vol. XLIII, iss. 3, 1964.
  3. Borchardt W. Monatsber. Konigl. Akad. Wiss., 1876.
  4. Borchardt W. Abhandl. Konigl. Akad. Wiss., 1878.
  5. Geppert H. J. reine und angew. Math., Bd 161, 1929.
  6. Hettner G. J. J. reine und angew. Math., Bd 89, 1880.
  7. Hettner G. J. J. reine und angew. Math., Bd 112, 1893.

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