摘要
通过二分法与动力系统的有机结合，我们得到了一类求解非线性方程的新算法，并证明了新算法具有良好的点序列{xn}和区间半径序列{（bn-an）}n=1^∞的渐近收敛性．数值试验表明新算法与Newton法、Steffensen法以及现有的许多其它算法相比更为有效．
In this paper, combining bisection method, we deduce new formulas by theory of dynamic systems, prove nice asymptotic quadratic convergence properties of points sequence {xn} and intervals diameters sequence {（bn - an）}n=1^∞. The numerical experiments show that new methods are effective and comparable to well-known methods of Newton and Steffensen.
出处
《数值计算与计算机应用》
CSCD
2006年第4期313-320,共8页
Journal on Numerical Methods and Computer Applications
关键词
动力系统
二分法
迭代法
平方收敛
dynamic systems, iterative method, quadratic convergence, bisection method
