On the convergent conditions of Durand-Kerner method in parallel circular iteration of single-step and double-step

被引：1
|
作者：
Zhu, L [1 ]
机构：
[1] Hangzhou Inst Commerce, Dept Math, Hangzhou 310035, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 157卷 / 03期
关键词：
Durand-Kerner method; parallel circular iteration; double-step;
D O I：
10.1016/j.amc.2003.08.070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, two theorems for the convergence of Durand-Kerner method in parallel circular iteration are given. The convergent condition of single-step method's circular iteration is relaxed compared with the classical theorem in the same field, while the one of the first proposed double-step method's is obtained accurately as well. An unique phenomenon appears that both of the constants concerned with either condition are [In phi](-1), where phi = (root5 + 1)/2 approximate to 1.61803399. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：623 / 636
页数：14
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