A modified Newton-Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations

被引：25
|
作者：
George, Santhosh [2 ]
Nair, A. Thamban [1 ]
机构：
[1] Indian Inst Technol Madras, Dept Math, Madras, Tamil Nadu, India
[2] Coll Arts Sci & Commerce, Dept Math, Sanquilim, Goa, India
来源：
JOURNAL OF COMPLEXITY | 2008年 / 24卷 / 02期
关键词：
nonlinear ill-posed equations; Newton-Lavrentiev regularization; Hammerstein equation; adaptive choice;
D O I：
10.1016/j.jco.2007.08.001
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Recently, a new iterative method, called Newton-Lavrentiev regularization (NLR) method, was considered by George (2006) for regularizing a nonlinear ill-posed Hammerstein-type operator equation in Hilbert spaces. In this paper we introduce a modified form of the NLR method and derive order optimal error bounds by choosing the regularization parameter according to the adaptive scheme considered by Pereverzev and Schock (2005). (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：228 / 240
页数：13
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