A New Parameter Choice Strategy for Lavrentiev Regularization Method for Nonlinear Ill-Posed Equations

被引：3

作者：

George, Santhosh ^{[1
]}

Padikkal, Jidesh ^{[1
]}

Remesh, Krishnendu ^{[1
]}

Argyros, Ioannis K. ^{[2
]}

机构：

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

[2] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

来源：

MATHEMATICS | 2022年 / 10卷 / 18期

关键词：

nonlinear ill-posed equations; finite dimension; iterative method; Lavrentiev regularization; a new parameter-choice strategy; MODIFIED NEWTONS METHOD;

D O I：

10.3390/math10183365

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduced a new source condition and a new parameter-choice strategy which also gives the known best error estimate. To obtain the results we used the assumptions used in earlier studies. Further, we studied the proposed new parameter-choice strategy and applied it to the method (in the finite-dimensional setting) considered in George and Nair (2017).

引用

页数：24

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