THE USE OF MOROZOV DISCREPANCY PRINCIPLE FOR TIKHONOV REGULARIZATION FOR SOLVING NONLINEAR ILL-POSED PROBLEMS

被引：98
|
作者：
SCHERZER, O
机构：
[1] Institut für Mathematik, Johannes-Kepler-Universität, Linz Auhof
来源：
COMPUTING | 1993年 / 51卷 / 01期
关键词：
TIKHONOV REGULARIZATION; INVERSE PROBLEMS; ILL-POSED PROBLEMS; PARAMETER IDENTIFICATION;
D O I：
10.1007/BF02243828
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we investigate Morozov's Discrepancy Principle for choosing the regularization parameter in Tikhonov regularization for solving nonlinear ill-posed problems. Convergence rates and a saturation property of the regularized solutions, where the regularization parameter is chosen by the discrepancy principle, are investigated. Numerical results are presented to verify the theoretical results.
引用
收藏
页码：45 / 60
页数：16
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