Two Classes of Newton’s Iteration Methods with Third-order Convergence

WANG Xiao-feng

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Two Classes of Newton’s Iteration Methods with Third-order Convergence

更新时间：2026-07-10

- Two Classes of Newton’s Iteration Methods with Third-order Convergence
- Vol. 16, Issue 1, Pages: 113-115(2011)
- 作者机构：
  
  渤海大学数学系
- 作者简介：
- 基金信息：
- DOI：
  CLC： O241.7
- Published：2011
- 稿件说明：
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WANG Xiao-feng. Two Classes of Newton’s Iteration Methods with Third-order Convergence[J]. 2011, 16(1): 113-115.
DOI：

WANG Xiao-feng. Two Classes of Newton’s Iteration Methods with Third-order Convergence[J]. 2011, 16(1): 113-115. DOI：

摘要

给出了两类牛顿迭代法的修正形式

证明了这两类迭代格式至少是三阶收敛的

数值实验表明

与其它已知的三阶收敛的牛顿迭代格式相比

新迭代格式具有一定的优势.

Abstract

Two classes of Newton’s variants Iteration method are given.The orders of convergence of the variant methods are three at least.Numerical tests show that the variant methods have more advantages than the other known Newton’s Iteration methods with third-order convergence.

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