ON THE CONVERGENCE OF SOME QUASI-NEWTON METHODS FOR NONLINEAR EQUATIONS WITH NONDIFFERENTIABLE OPERATORS

被引：23

作者：

CHEN, X ^{[1
]}

YAMAMOTO, T ^{[1
]}

机构：

[1] EHIME UNIV,FAC SCI,DEPT MATH,MATSUYAMA,EHIME 790,JAPAN

来源：

COMPUTING | 1992年 / 49卷 / 01期

关键词：

NONLINEAR EQUATIONS; NONDIFFERENTIABLE OPERATOR; QUASI-NEWTON METHOD; CONVERGENCE THEOREMS;

D O I：

10.1007/BF02238652

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we study the convergence of some quasi-Newton methods for solving nonlinear equation Ax + g(x) = 0 in a domain D subset-of R(n), where A is an n x n matrix and g is a nondifferentiable but Lipschitz continuous operator. By interval analysis, we give a new convergence theorem of the methods.

引用

页码：87 / 94

页数：8

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