Accessibility of solutions by Newton's method

被引：41

作者：

Gutierrez, JM

Hernandez, MA

Salanova, MA

机构：

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1995年 / 57卷 / 3-4期

关键词：

nonlinear equation; Newton's method; Fixed Point Principle; convexity;

D O I：

10.1080/00207169508804427

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give new conditions for the convergence of Newton's method in Banach spaces, in terms of the degree of logarithmic convexity. These conditions guarantee the convergence of Newton sequence in cases where the hypothesis of Kantorovich theorem are not verified, as we show in some examples.

引用

页码：239 / 247

页数：9

共 9 条

[1]

Hernandez M. A., 1992, ZB RAD PRIROD MAT M, V22, P159

[2] A FAMILY OF NEWTON TYPE ITERATIVE PROCESSES [J].