A unified semilocal convergence analysis of a family of iterative algorithms for computing all zeros of a polynomial simultaneously

被引：15

作者：

Ivanov, Stoil I. ^{[1
]}

机构：

[1] Paisij Hilendarski Univ Plovdiv, Fac Phys, Plovdiv 4000, Bulgaria

来源：

NUMERICAL ALGORITHMS | 2017年 / 75卷 / 04期

关键词：

Simultaneous methods; Polynomial zeros; Semilocal convergence; Error estimates; Location of zeros; Normed fields;

D O I：

10.1007/s11075-016-0237-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first present a family of iterative algorithms for simultaneous determination of all zeros of a polynomial. This family contains two well-known algorithms: Dochev-Byrnev's method and Ehrlich's method. Second, using Proinov's approach to studying convergence of iterative methods for polynomial zeros, we provide a semilocal convergence theorem that unifies the results of Proinov (Appl. Math. Comput. 284: 102-114, 2016) for Dochev-Byrnev's and Ehrlich's methods.

引用

页码：1193 / 1204

页数：12

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