Fungrim entry: eda1e3

Symbol: AGMSequence —

\operatorname{agm}_{n}\!\left(a, b\right)

— Convergents in AGM iteration

Represents the tuple

\left(a_{n}, b_{n}\right)

giving the

n

-th values in the arithmetic-geometric mean iteration with initial values

\left(a_{0}, b_{0}\right) = \left(a, b\right)

Definitions:

Fungrim symbol	Notation	Short description
`AGMSequence`	$\operatorname{agm}_{n}\!\left(a, b\right)$	Convergents in AGM iteration

Source code for this entry:

Entry(ID("eda1e3"),
    SymbolDefinition(AGMSequence, AGMSequence(n, a, b), "Convergents in AGM iteration"),
    Description("Represents the tuple", Tuple(a_(n), b_(n)), "giving the", n, "-th values in the arithmetic-geometric mean iteration with initial values", Equal(Tuple(a_(0), b_(0)), Tuple(a, b)), "."))

Topics using this entry

Arithmetic-geometric mean

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC