“arithmetic-geometric mean iteration”的概念、定义、翻译、参考文献-科学参考

单词	arithmetic-geometric mean iteration
释义	arithmetic-geometric mean iteration Mathematics If a < b are two positive real numbers, let a₀ = a, b₀ = b and $a_{n + 1} = \frac{a_{n} + b_{n}}{2}, b_{n + 1} = \sqrt{a_{n} b_{n}}$ for n≥0. Then (a_n) is increasing and (b_n) is decreasing and $lim_{n \to \infty} (a_{n}) = lim_{n \to \infty} (b_{n})$ is the arithmetic-geometric mean.
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