An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations

被引：1

作者：

Zhou, Fangqin ^{[1
]}

机构：

[1] Quzhou Univ, Dept Math & Phys, Quzhou 324000, Peoples R China

来源：

SCIENTIFIC WORLD JOURNAL | 2014年

关键词：

CONSTANT RANK DERIVATIVES; BANACH-SPACE; MAJORANT CONDITION; EXTENSIONS; BEHAVIOR; THEOREM;

D O I：

10.1155/2014/752673

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study the local convergence properties of inexact Newton-Gaussmethod for singular systems of equations. Unified estimates of radius of convergence balls for one kind of singular systems of equations with constant rank derivatives are obtained. Application to the Smale point estimate theory is provided and some important known results are extended and/or improved.

引用

页数：10

共 31 条

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