CONVERGENCE-RATES FOR REGULARIZED NONLINEAR ILLPOSED PROBLEMS

被引：0

作者：

KUNISCH, K ^{[1
]}

GEYMAYER, G ^{[1
]}

机构：

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

来源：

LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES | 1991年 / 154卷

关键词：

ILL-POSED PROBLEMS; TIKHONOV REGULARISATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Convergence and rate of convergence are studied for nonlinear illposed inverse problems that are stabilized by means of Tikhonov regularization while the parameter space as well as the parameter-to-output mapping are discretized. The theoretical results are illustrated by means of numerical examples.

引用

页码：81 / 92

页数：12

共 50 条

[31] A new iteratively total variational regularization for nonlinear inverse problems [J].

Li, Li ;

Han, Bo .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 298 :40-52

[32] Convergence analysis of simplified iteratively regularized Gauss-Newton method in a Banach space setting [J].

Mahale, Pallavi ;

Dixit, Sharad Kumar .

APPLICABLE ANALYSIS, 2018, 97 (15) :2686-2719

[33] Nonlinear material decomposition using a regularized iterative scheme based on the Bregman distance [J].

Abascal, J. F. P. J. ;

Ducros, N. ;

Peyrin, F. .

INVERSE PROBLEMS, 2018, 34 (12)

[34] Regularized Nystrom subsampling in regression and ranking problems under general smoothness assumptions [J].

Myleiko, G. L. ;

Pereverzyev, S., Jr. ;

Solodky, S. G. .

ANALYSIS AND APPLICATIONS, 2019, 17 (03) :453-475

[35] An efficient Gauss–Newton algorithm for solving regularized total least squares problems [J].

Hossein Zare ;

Masoud Hajarian .

Numerical Algorithms, 2022, 89 :1049-1073

[36] Regularization in Banach spaces - convergence rates by approximative source conditions [J].

Hein, T. .

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2009, 17 (01) :27-41

[37] On Tikhonov regularization in Banach spaces - optimal convergence rates results [J].

Hein, Torsten .

APPLICABLE ANALYSIS, 2009, 88 (05) :653-667

[38] Convergence rates and source conditions for Tikhonov regularization with sparsity constraints [J].

Lorenz, D. A. .

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2008, 16 (05) :463-478

[39] Convergence Rates for Identification of Robin Coefficient from Terminal Observations [J].

Mondal, Subhankar .

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2024, 47 (06)

[40] FURTHER CONVERGENCE RESULTS ON THE GENERAL ITERATIVELY REGULARIZED GAUSS-NEWTON METHODS UNDER THE DISCREPANCY PRINCIPLE [J].

Jin, Qinian .

MATHEMATICS OF COMPUTATION, 2013, 82 (283) :1647-1665

← 1 2 3 4 5 →