Modified Minimal Error Method for Nonlinear Ill-Posed Problems

被引：0

作者：

Sabari, M. ^{[1
]}

George, Santhosh ^{[1
]}

机构：

[1] Natl Inst Technol Karnataka, Dept Math & Computat Sci, Mangaluru 575025, India

来源：

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2018年 / 18卷 / 02期

关键词：

Nonlinear Ill-Posed Problem; Minimal Error Method; Regularization Method; Discrepancy Principle; LAVRENTIEV REGULARIZATION; TIKHONOV REGULARISATION; CONVERGENCE-RATES; INVERSE PROBLEMS; EQUATIONS;

D O I：

10.1515/cmam-2017-0024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An error estimate for the minimal error method for nonlinear ill-posed problems under general a Holder-type source condition is not known. We consider a modified minimal error method for nonlinear ill-posed problems. Using a Holder-type source condition, we obtain an optimal order error estimate. We also consider the modified minimal error method with noisy data and provide an error estimate.

引用

页码：313 / 321

页数：9

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