ON MOROZOV'S DISCREPANCY PRINCIPLE FOR NONLINEAR ILL-POSED EQUATIONS

被引:6
作者
Nair, M. T. [1 ]
机构
[1] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India
关键词
inverse problems; ill-posed problems; Tikhonov regularization; discrepancy principle; TIKHONOV-REGULARIZATION; CONVERGENCE-RATES;
D O I
10.1017/S0004972708001342
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Morozov's discrepancy principle is one of the simplest and most widely used parameter choice strategies in the context of regularization of ill-posed operator equations. Although many authors have considered this principle under general source conditions for linear ill-posed problems, such study for nonlinear problems is restricted to only a few papers. The aim of this paper is to apply Morozov's discrepancy principle for Tikhonov regularization of nonlinear ill-posed problems under general source conditions.
引用
收藏
页码:337 / 342
页数:6
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