The arithogeometric mean
type: Item
instance of: scholarly article
title: The arithogeometric mean
zbMATH Open document ID: 0686.14040
DOI: 10.1007/BF01198359
author: Daniel R. Grayson
published in: Archiv der Mathematik
publication date: 1989-01-01T00:00:00Z
review text: The article is based upon the arithogeometric mean method of Gauss. It explains a method to compute the periods of an elliptic curve and it provides a way to compute elliptic functions. These algorithms can be used to perform very accurate machine computations. The reader, familiar with the theory of elliptic curves, gets a clear survey of the methods. The algorithms are presented in a scheme that can be implemented immediately.
Mathematics Subject Classification ID: 14H45
Mathematics Subject Classification ID: 14-04
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 14H52
zbMATH DE Number: 4123896
zbMATH Keywords: arithogeometric mean
zbMATH Keywords: periods of an elliptic curve
zbMATH Keywords: compute elliptic functions
zbMATH Keywords: machine computations
zbMATH Keywords: algorithms
describes a project that uses: EllipticIntegrals
MaRDI profile type: Publication
cites work: The arithmetic-geometric mean of Gauss
cites work: Divisibility of the Specialization Map for Families of Elliptic Curves
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description: scientific article; zbMATH DE number 4123896