摘要
研究了用牛顿迭代法求解机构分析和综合问题的代数方程中的混沌现象。通过迭代函数的分析 ,初步揭示了利用混沌现象求出方程全部解的机理 ;提出了确定混沌区内各个解吸引槽边界的二分法 ,该法具有简单且可以达到很高计算精度的特点。
In this papre the chaos in the application of Newton Raphson method to solving the nonlinear algebraic equation arising from computational kinematics is studied. With the analysis of iteration function, the mechanism of obtaining all solutions by Newton Raphson method is brought to light. A new method, called divided by two, is employed to find the boundaries of basins of attraction in chaotic zones. Some examples demonstrate that this new method has high preciseness and simplicity.
出处
《机械传动》
CSCD
北大核心
2000年第1期4-6,共3页
Journal of Mechanical Transmission
基金
国家自然科学基金!59975077
