Newton一般双侧迭代序列构造及误差估计

Newton Generalized Construction of Double-side Iterated Series and Errors Estimation

求方程近似解的Newton迭代法构造的序列是单侧逼近精确解的,这给误差分析带来很大的困难。本文提出了构造Newton迭代双侧逼近序列一般方法,精确解介于两个序列之间,这样可通过两个近似解来估计逼近精确解的程度。

Iteration series based on Newton method always limit to exact solution an d is inconvenience to estimate errors.In this paper,a new double -s ide iterated series based on Newton method is presented and exact solutio n locates between two series.So it is s imple to estimate errors by double -s ide series.