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坐标旋转法的收敛性,误差估计及扩展
引用本文:谷峰. 坐标旋转法的收敛性,误差估计及扩展[J]. 数值计算与计算机应用, 2006, 27(1): 1-8
作者姓名:谷峰
作者单位:浙江经济职业技术学院
摘    要:本文通过推广正规序列的定义,得到一个不等式,由此证明了统一计算初等函数数值的坐标旋转法的收敛性,作了误差估计,并拓广了所计算的函数范围,成为快速计算所有初等函数的统一算法.

关 键 词:坐标旋转法  初等函数  统一算法
修稿时间:2004-02-02

CONVERGENCE AND ERROR ESTIMATION OF COORDINATE ROTATING ALGORITHM AND ITS EXPANSION
Gu Feng. CONVERGENCE AND ERROR ESTIMATION OF COORDINATE ROTATING ALGORITHM AND ITS EXPANSION[J]. Journal on Numerical Methods and Computer Applications, 2006, 27(1): 1-8
Authors:Gu Feng
Abstract:In this paper, the convergence of coordinate rotating algorithm, a united algorithm for computing elementary functions, has been proved by expanding the definition of normal series. The algorithm's error was also estimated. Furthermore the algorithm was expanded to computing more elementary functions and thus it really become a united algorithm for computing all elementary functions.
Keywords:coordinate rotating   elementary functions   united algorithm
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