TY - JOUR
AU - Francois Lamarche
AU - Helmut Ruhland
PY - 2022/11/24
Y2 - 2024/06/25
TI - Computed multivalues of AGM reveal periodicities of inverse functions
JF - Computer Tools in Education
JA - CTE
VL -
IS - 3
SE - Algorithmic mathematics and mathematical modelling
DO - 10.32603/2071-2340-2022-3-64-81
UR - http://cte.eltech.ru/ojs/index.php/kio/article/view/1758
AB - The article shows how two choices are possible whenever computing the geometric mean, and the repetition of this process can in general yield 2-to-the power N different valueswhen the choices are compounded in the first N steps of evaluation of the arithmeticgeometric mean. This happens not only in the simple AGM involved in the computation of the complete elliptic integral of the first kind, but also in analogous methods for the computation of the complete and incomplete elliptic integrals of the first and second kind.
ER -