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.
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页数：35
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