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关于求平方根的三种迭代序列的收敛速度及收敛渐近性
引用本文:赵焕光,项凌云.关于求平方根的三种迭代序列的收敛速度及收敛渐近性[J].温州大学学报(自然科学版),2013(4):1-4.
作者姓名:赵焕光  项凌云
作者单位:温州大学数学与信息科学学院,浙江温州325035
摘    要:运用求解初等代数方程(不动点)的方法,建立了关于求平方根√a(a>0)的分式线性迭代序列、牛顿迭代序列、哈雷迭代序列的收敛速度及收敛渐近性定理.

关 键 词:分式线性迭代序列  牛顿迭代序列  哈雷迭代序列  收敛速度  收敛渐近性

A Study of the Convergence Speed and Progressive of ThreeTypes of Iterative Sequences on Calculating Square Root
ZHAO Huanguang,XIANG Lingyun.A Study of the Convergence Speed and Progressive of ThreeTypes of Iterative Sequences on Calculating Square Root[J].Journal of Wenzhou University Natural Science,2013(4):1-4.
Authors:ZHAO Huanguang  XIANG Lingyun
Affiliation:( School of Mathematics and Information Science, Wenzhou University, Wenzhou, China 325035 )
Abstract:In this paper, employing the fixed point method to solve the elementary algebra equation, we obtained the convergence speed and established theorems on the convergence progressive of the fractional linear iterative sequence, the Newton iterative sequence, and the Harley iterative sequence to calculate square root.
Keywords:Fractional Linear Iterative Sequence  Newton Iterative Sequence  Harley lterative Sequence  Convergence Speed  Convergence Progressive
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