OPTIMAL A POSTERIORI PARAMETER CHOICE FOR TIKHONOV REGULARIZATION FOR SOLVING NONLINEAR III-POSED PROBLEMS

被引：101

作者：

SCHERZER, O ^{[1
]}

ENGL, HW ^{[1
]}

KUNISCH, K ^{[1
]}

机构：

[1] GRAZ TECH UNIV,INST MATH,A-8010 GRAZ,AUSTRIA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1993年 / 30卷 / 06期

关键词：

TIKHONOV REGULARIZATION; INVERSE PROBLEMS; ILL-POSED PROBLEMS; PARAMETER IDENTIFICATION;

D O I：

10.1137/0730091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors propose an a-posteriori strategy for choosing the regularization parameter in Tikhonov regularization for solving nonlinear ill-posed problems and show that under certain conditions, the convergence rate obtained with this strategy is optimal. As a by-product, a new stability estimate for the regularized solutions is given which applies to a class of parameter identification problems. The authors compare the parameter choice strategy with Morozov's Discrepancy Principle. Finally, numerical results are presented.

引用

页码：1796 / 1838

页数：43

共 24 条

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Adams RA., 2003, PURE APPL MATH SOB O, V2

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