The derivation of algorithms to compute elliptic integrals of the first and second kind by Landen-transformation

This paper deals with elliptic integrals of first and second kind and their solution by Landen-transformation. It is explained how the Landen-transformation works and how the different algorithms can be used in geodetic problem solving. The algorithms are recursive and thus easy to implement and sta...

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Bibliographic Details
Main Author: Rösch Norbert
Format: Article
Language:Portuguese
Published: Universidade Federal do Paraná
Series:Boletim de Ciências Geodésicas
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1982-21702011000100001&lng=en&tlng=en