Convergence Ball Analysis of a Modified Newton's Method Under Holder Continuous Condition in Banach Space

被引：0

作者：

Wu, Qingbiao ^{[1
]}

Ren, Hongmin ^{[2
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

[2] Hangzhou Radio & TV Univ, Dept Elect & Informat, Hangzhou 310012, Zhejiang, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2013年 / 36卷 / 01期

关键词：

Modified Newton's method; convergence ball; error estimate; Holder continuous; Banach space; SECANT METHOD; 3RD-ORDER CONVERGENCE; VARIANT;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A modified Newton's method which computes derivatives every other step is used to solve a nonlinear operator equation. An estimate of the radius of its convergence ball is obtained under Holder continuous Frechet derivatives in Banach space. An error analysis is given which matches its convergence order.

引用

页码：243 / 254

页数：12

共 26 条

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