计算方法中关于误差的分析

计算方法中关于误差的分析

摘要

利用误差的定义、性质和定理,就“误差的传播与估计”、“算法的数值稳定”等做出了比较详细的分析,并且对实验中的1些实例进行误差分析，根据各项直接测量值的误差和已知的函数关系,通过计算间接测量值的误差,确定实验的准确度,找到误差的主要来源及每1因素所引起的误差大小,从而可以改进研究方法和方案，突出误差分析的重要性．

关键词: 绝对误差;相对误差;有效数字;误差的传播;数值稳定性

In computational method about erroneous analysis

Abstract

In the paper ,Using the definition,properties and theorems of the error, we analyze in detail the propagation and estimation of the error as the numerical stability of algorithms. And the experimental examples of the error analysis, direct measurement of error and the known function, By calculating the indirect measurement error experiments to determine the accuracy, find the main source of error and each factor caused by the error, which could improve research methods and programs, Error analysis highlights the importance.

Keywords:absolute error; Relative error; Effective; Error propagation; Numerical stability