数值法求一元方程实根的终止判据的研究

STUDY ON THE TERMINATION CRITERIONS USED TO EXTRACTING THE ROOTS OF SINGLE VARIABLE EQUATION BY USING NUMERICAL METHODS

讨论了采用二分法、牛顿法和简单迭代法等数值逼近方法求解一元方程实粮时，所使用的三种终止判据的优劣．指出，以近似根序列中相邻两项的相对差的绝对值是否足够小为终止判据最优．提出了该判据中极小正数Ｅ３的确定方法．

The authors discuss the merits and demerits of three kinds of termination criterions used to extracting the roots of single variable epuation by using bisection method,Newton method or iteratigve method,The authors find out that the best is the relative criterion,Whether enough small is the absolute value of the relative difference of adjacent two terms in order of the approximate roots. The authors advance methods of determining E3,a very small gositive puantity,used of the relative criterion.