Best rational starting approximations and improved Newton iteration for the square root

Best rational starting approximations and improved Newton iteration for the square root
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平方根的最佳理性起始近似和改进的牛顿迭代

DOI:
10.1090/s0025-5718-1970-0273809-4
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发表时间:
1970
影响因子:
2
通讯作者:
Ichizo Ninomiya
Ichizo Ninomiya
中科院分区:
数学2区
文献类型:
--
作者:
Ichizo Ninomiya

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最重要的一类最佳有理逼近的平方根得到解析的椭圆函数理论。提出了一种改进的牛顿迭代法。1.导论.在区间(a,B)(0 /x - 11 = min)上计算| x的最有效的计算程序,但更合理的是Dumsund的,
The most important class of the best rational approximations to the square root is obtained analytically by means of elliptic function theory. An improvement of the Newton iteration procedure is proposed. 1. Introduction. The most efficient computing procedure for calculating \x on an interval (a, b) (0 /x - 11 = min, but a more reasonable one is Moursund's,