ON THE CONVERGENCE OF BROYDEN-LIKE METHODS FOR NONLINEAR EQUATIONS WITH NONDIFFERENTIABLE TERMS

被引：31

作者：

CHEN, X ^{[1
]}

机构：

[1] XIAN JIAO TONG UNIV, DEPT MATH, XIAN, PEOPLES R CHINA

来源：

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS | 1990年 / 42卷 / 02期

关键词：

Broyden-like methods; Convergence theorems; nondifferentiable terms; nonlinear equations;

D O I：

10.1007/BF00050844

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, the author studies a Broyden-like method for solving nonlinear equations with nondifferentiable terms, which uses as updating matrices, approximations for Jacobian matrices of differentiable terms. Local and semilocal convergence theorems are proved. The results generalize those of Broyden, Dennis and Moré. © 1990 The Institute of Statistical Mathematics.

引用

页码：387 / 401

页数：15

共 10 条

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