REGULARIZATION METHODS FOR NONLINEAR ILL-POSED PROBLEMS WITH ACCRETIVE OPERATORS

被引：0

作者：

王吉安

李景

刘振海

机构：

[1] Department of Mathematics Changsha University of Science and Technology

[2] Changsha 410076

[3] China

[4] China School of Mathematical Science and Computing Technology

[5] Central South University Changsha 410075

来源：

Acta Mathematica Scientia | 2008年 / 01期

关键词：

Regularization; ill-posed problems; nonlinear accretive operator; convergence rates;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

This article is devoted to the regularization of nonlinear ill-posed problems with accretive operators in Banach spaces.The data involved are assumed to be known approximately.The authors concentrate their discussion on the convergence rates of regular solutions.

引用

页码：141 / 150

页数：10

共 50 条

[21] REGULARIZATION OF NONLINEAR ILL-POSED PROBLEMS BY EXPONENTIAL INTEGRATORS
Hochbruck, Marlis
Hoenig, Michael
Ostermann, Alexander
[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2009, 43 (04): : 709 - 720
[22] Approximation and variational methods for regularization of ill-posed problems
Sakbaev, V. Zh.
[J]. DOKLADY MATHEMATICS, 2008, 77 (02) : 208 - 211
[23] Approximation and variational methods for regularization of ill-posed problems
V. Zh. Sakbaev
[J]. Doklady Mathematics, 2008, 77 : 208 - 211
[24] Regularization Methods for Ill-Posed Problems in Quantum Optics
Starkov, V. M.
[J]. CYBERNETICS AND SYSTEMS ANALYSIS, 2022, 58 (02) : 299 - 308
[25] ON THE REGULARIZATION OF PROJECTION METHODS FOR SOLVING ILL-POSED PROBLEMS
PLATO, R
VAINIKKO, G
[J]. NUMERISCHE MATHEMATIK, 1990, 57 (01) : 63 - 79
[26] Peculiarities and regularization of ill-posed Cauchy problems with differential operators
Melnikova I.V.
Anufrieva U.A.
[J]. Journal of Mathematical Sciences, 2008, 148 (4) : 481 - 632
[27] Ill-Posed Nonlinear Optimization Problems and Uniform Accuracy Estimates of Regularization Methods
Kokurin, M. Yu.
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020, 41 (15) : 1887 - 1900
[28] Regularization Methods for Ill-Posed Problems in Quantum Optics
V. M. Starkov
[J]. Cybernetics and Systems Analysis, 2022, 58 : 299 - 308
[29] Regularization methods for nonlinear Ill-posed equations involving m-accretive mappings in Banach spaces
Buong N.
Phuong N.T.H.
[J]. Russian Mathematics, 2013, 57 (2) : 58 - 64
[30] Convergence rate analysis of Tikhonov regularization for nonlinear ill-posed problems with noisy operators
Lu, Shuai
Flemming, Jens
[J]. INVERSE PROBLEMS, 2012, 28 (10)

← 1 2 3 4 5 →