A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations

被引：5

作者：

Tahar, Bechouat ^{[1
,2
]}

Nadjib, Boussetila ^{[2
,3
]}

Faouzia, Rebbani ^{[4
]}

机构：

[1] Mohammed Cherif Messaadia Univ, Dept Math & Informat, Fac Sci & Technol, POB 1553, Souk Ahras 41000, Algeria

[2] Univ Badji Mokhtar Annaba, Appl Math Lab, POB 12, Annaba 23000, Algeria

[3] Univ 8 Mai 1945 Gulma, Dept Math, Fac MISM, POB 401, Guelma 24000, Algeria

[4] Univ Badji Mokhtar Annaba, Ecole Super Technol Ind ESTI, Appl Math Lab, POB 12, Annaba 23000, Algeria

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2021年 / 18卷 / 04期

关键词：

First kind Fredholm integral equations; ill-posed problems; finite rank approximation; Tikhonov regularization; FREDHOLM INTEGRAL-EQUATIONS; PARAMETER CHOICE; INVERSE PROBLEMS; TIKHONOV REGULARIZATION; CONVERGENCE ANALYSIS; SELF-REGULARIZATION; APPROXIMATION; DISCRETIZATION;

D O I：

10.1142/S0219876221500080

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we report on a strategy for computing the numerical approximate solution for a class of ill-posed operator equations in Hilbert spaces: K : E -> F,Kf = g. This approach is a combination of Tikhonov regularization method and the finite rank approximation of K*K. Finally, numerical results are given to show the effectiveness of this method.

引用

页数：35

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