arithmetic-geometric mean


Also found in: Wikipedia.

arithmetic-geometric mean

[¦a·rith¦med·ik ‚jē·ə¦me·trik ′mēn]
(mathematics)
For two positive numbers a1 and b1, the common limit of the sequences {an } and {bn } defined recursively by the equations an + 1= ½(an + bn) and bn + 1= (anbn)½.
Mentioned in ?
References in periodicals archive ?
Furuichi, A refinement of the arithmetic-geometric mean inequality, arXiv: 0912.
n] converge quadratically to Gauss's arithmetic-geometric mean, M([a.