arithmetic-geometric mean

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arithmetic-geometric mean [¦a·rith¦med·ik ‚jē·ə¦me·trik ′mēn]

(mathematics)

For two positive numbersa₁andb₁, the common limit of the sequences {a_n} and {b_n} defined recursively by the equationsa_{n+ 1}= ½(a_n+b_n) andb_{n+ 1}= (a_nb_n)^½.

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n] converge quadratically to Gauss's arithmetic-geometric mean, M([a.

Three improvements in reduction and computation of elliptic integrals by Carlson, B. C. / Journal of Research of the National Institute of Standards and Technology

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