AN IMPROVED UNIFYING CONVERGENCE ANALYSIS OF NEWTON'S METHOD IN RIEMANNIAN MANIFOLDS

被引：12

作者：

Argyros, Ioannis K. ^{[1
]}

机构：

[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2007年 / 25卷 / 1-2期

关键词：

Newton's method; Riemannian manifold; local/semilocal convergence; singularity of a vector field; Newton-Kantorovich method;

D O I：

10.1007/BF02832359

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using more precise majorizing sequences we provide a finer convergence analysis than before [1], [7] of Newton's method in Riemannian manifolds with the following advantages: weaker hypotheses, finer error bounds on the distances involved and a more precise information on the location of the singularity of the vector field.

引用

页码：345 / 351

页数：7

共 9 条

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Carano M. Do, 1992, RIEMANNIAN GEOMETRY

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