JUCS - Journal of Universal Computer Science 4(1): 25-33, doi: 10.3217/jucs-004-01-0025
Reliable Computation of Elliptic Functions
expand article infoWolfram Luther‡, Werner Otten‡
‡ Gerhard-Mercator-Universität -GH Duisburg, Fachbereich Mathematik, Germany

Corresponding author: Wolfram Luther ( luther@informatik.uni-duisburg.de )

© Wolfram Luther, Werner Otten.
This article is freely available under the J.UCS Open Content License.
Citation: Luther W, Otten W (1998) Reliable Computation of Elliptic Functions. JUCS - Journal of Universal Computer Science 4(1): 25-33. https://doi.org/10.3217/jucs-004-01-0025
Open Access
Abstract
In this note we present rapidly convergent algorithms depending on the method of arithmetic-geometric means (AGM) for the computation of Jacobian elliptic functions and Jacobi's Theta-function. In particular, we derive explicit a priori bounds for the error accumulation of the corresponding Landen transform.
Keywords
Elliptic functions, Landen transform, AGM-method, a priori rounding error estimation