Reliable Computation of Elliptic Functions
Дата
Авторы
Luther,Wolfram
Otten,Werner
Journal Title
Journal ISSN
Volume Title
Издатель
Journal of Universal Computer Science
Аннотация
Описание
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.
Ключевые слова
Elliptic functions , Landen transform , AGM-method , a priori rounding error estimation