Analysis of the convergence of a modified Weierstrass iteration(一个Weierstrass迭代修正法的收敛性分析)

为了求解多项式方程f(z)=0,我们在Weierstrass迭代的基础上给出了一个同时求解该方程所有根的迭代法,并对其收敛性及收敛的初始条件进行了分析,得出其收敛的初始条件,它仅与迭代的初始点有关而与方程的根无关,同时还证明了在此初始条件下,该迭代是3阶收敛的....

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Bibliographic Details
Main Authors: LIXiang-fang(李湘芳), SUNFang-yu(孙方裕)
Format: Article
Language:zho
Published: Zhejiang University Press 2002-07-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/zjup/1008-9497.2002.29.4.385-389