The simultaneous approximation of polynomial roots

被引：6
|
作者：
Niell, AM [1 ]
机构：
[1] Natl Univ Cordoba, Fac Matemat Astron & Fis, RA-5000 Cordoba, Argentina
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 41卷 / 1-2期
关键词：
polynomial roots; Weierstrass method; Newton-type method; iterative approximation of roots; simultaneous approximation;
D O I：
10.1016/S0898-1221(01)85002-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give new proofs of some known results concerning an iterative method of Newton type for the simultaneous calculation of all roots of a polynomial, originally proposed by Weierstrass [1]. The previously known local convergence analysis of the method is simplified and sharpened. We also propose a modified method with improved convergence properties. Global convergence of both methods is touched upon briefly. (C) 2001 Elsevier Science Ltd. All rights reserved.
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页码：1 / 14
页数：14
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