摘要
基于Newton迭代法对于求重根具有线性收敛性,给出了加速其收敛的方法以及迭代公式,收敛速度得到了有效的提高。最后从数值实验加以比较,此算法是可行的。
Considering that the Newton iterative algorithm has first - order convergence in multiple roots, the author advances the method of accelerating its convergence and iteration formula. Apart from that, the rate of convergence increases considerably and such an algorithm is feasible.
关键词
重根
NEWTON迭代法
收敛性
multiple roots
Newton' s itemfive method
convergence