一次不定分析算法的比较研究

A Comparative Study of the Uncertainty Analysis Algorithm

在前人研究的基础上,对中国大衍求一术、印度库塔卡和西方哥廷根抄本这三种古代一次不定分析算法进行全面的数理分析和比较,得出结论:大衍求一术、库塔卡是成熟的算法,哥廷根法是试探法.

On the basis of previous studies,and we take the comprehensive mathematical analysis and comparison on three kinds of typical indeterminate analysis algorithm such as the DAYANQIUYISHU（a algorithm of solution to congruence）,Kuttaka（a algorithm of indeterminate equations of the first degree） and the algorithm in transcript of Getinggen,and then the conclusion can be obtained that the first two were mature algorithms while the latter was only a try.