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

被引：96

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.

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页码：45 / 60

页数：16

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