Best rational starting approximations and improved Newton iteration for the square root
Best rational starting approximations and improved Newton iteration for the square root
复制标题
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
中科院分区:
文献类型:
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作者:
Ichizo Ninomiya
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,