一种减少泰勒公式计算误差的数值方法

The improvement of numerical calculation based on Taylor formula

利用泰勒公式计算某些无理数的近似值的时候,经常会把它分解为一些有理分数(这些分数可以是正数,也可以是负数)之和,然后把这些分数转化为有限小数.在分数转化为小数的时候,有些分数的转化是没有误差的,有些有误差.文章分析了这些误差产生的原因,以及怎样减少这些误差.

The approximate value calculation of some irrational number by using the Taylor formula is often de-composed into the sum of some rational fraction(These fractions are positive number,or not).Then every frac-tion is put into a finite decimal.When every fraction transforms into finite decimal,some fractions of the trans-formation have no error,some have error.This paper analyzes the causes of errors,and how to reduce the er-rors.