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計(jì)算方法中關(guān)于誤差的分析
計(jì)算方法中關(guān)于誤差的分析
摘要
利用誤差的定義、性質(zhì)和定理,就“誤差的傳播與估計(jì)”、“算法的數(shù)值穩(wěn)定”等做出了比較詳細(xì)的分析,并且對(duì)實(shí)驗(yàn)中的1些實(shí)例進(jìn)行誤差分析，根據(jù)各項(xiàng)直接測(cè)量值的誤差和已知的函數(shù)關(guān)系,通過計(jì)算間接測(cè)量值的誤差,確定實(shí)驗(yàn)的準(zhǔn)確度,找到誤差的主要來源及每1因素所引起的誤差大小,從而可以改進(jìn)研究方法和方案，突出誤差分析的重要性．
關(guān)鍵詞: 絕對(duì)誤差;相對(duì)誤差;有效數(shù)字;誤差的傳播;數(shù)值穩(wěn)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
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