Newton's method for analytic systems of equations with constant rank derivatives

被引：22

作者：

Dedieu, JP ^{[1
]}

Kim, MH

机构：

[1] Univ Toulouse 3, MIP, F-31062 Toulouse 04, France

[2] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

来源：

JOURNAL OF COMPLEXITY | 2002年 / 18卷 / 01期

关键词：

Newton's method; system of equations; least-square solution;

D O I：

10.1006/jcom.2001.0612

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 properties of Newton's sequence for analytic systems of equations with constant rank derivatives. Our main result is an alpha-theorem which ensures the convergence of Newton's sequence to a least-square solution of this system. (C) 2001 Elsevier Science (USA).

引用

页码：187 / 209

页数：23