Improved semi-local convergence of the Newton-HSS method for solving large systems of equations

被引：2
|
作者：
Argyros, Ioannis K. [1 ]
George, Santhosh [2 ]
Magrenan, Alberto [3 ]
机构：
[1] Cameron Univ, Lawton, OK 73505 USA
[2] NIT Karnataka, Mangalore, India
[3] Univ La Rioja, Logrono, Spain
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 98卷
关键词：
Newton-HSS method; Systems of nonlinear equations; Semi-local convergence; HERMITIAN SPLITTING METHODS; ITERATIVE METHODS;
D O I：
10.1016/j.aml.2019.04.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this article is to present the correct version of the main theorem 3.2 given in Guo and Duff (2011), concerning the semi-local convergence analysis of the Newton-HSS (NHSS) method for solving systems of nonlinear equations. Our analysis also includes the corrected upper bound on the initial point. (C) 2019 Published by Elsevier Ltd.
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页码：29 / 35
页数：7
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