两个同时求多项式零点的3阶Newton型迭代法  

Two New Third-order Newton-like Method for Solving a Polynomial

作　　者：罗文[1] 张昕[1] 

机构地区：[1]华南农业大学理学院,广州510642

出　　处：《湖南理工学院学报（自然科学版）》2013年第4期8-12,17,共6页Journal of Hunan Institute of Science and Technology(Natural Sciences)

摘　　要：构造了两个同时求多项式零点的Newton型并行迭代法,同时证明它们的收敛性,证明其收敛阶为3,并讨论其初始条件,最后给出数值例子.Two new methods with the order 3 for simultaneously finding all zeros of an algebraic polynomial are proposed. Convergence analysis and the initial condition of the presented methods are preformed. One numerical example is presented to demonstrate convergence properties of this iterative method later.

关 键 词：多项式零点 迭代法 收敛阶 初始条件 

分 类 号：O241[理学—计算数学]