A Class of Difference ABS-type Algorithms for a Nonlinear System of Equations

被引：2

作者：

Spedicato, E. ^{[1
]}

Chen, Z. ^{[2
]}

Deng, N. ^{[3
]}

机构：

[1] Univ Bergamo, Dept Math, I-24100 Bergamo, Italy

[2] Beijing Polytech Univ, Dept Appl Math, Beijing 100022, Peoples R China

[3] Beijing Agr Engn Univ, Div Basic Sci, Beijing 100083, Peoples R China

来源：

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 1994年 / 1卷 / 03期

关键词：

Discretization method; Nonlinear ABS class; Newton-type method; Quadratic convergence;

D O I：

10.1002/nla.1680010307

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give a class of algorithms for solving nonlinear algebraic equations using difference approximations of derivatives. The class is a modification of the original ABS class with the advantage of requiring less function evaluations. Special cases include the methods of Brown and Brent and the discretized Newton method, which is formulated in a way requiring fewer function evaluations per iteration.

引用

页码：313 / 329

页数：17