A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations-Reference-Cited by-同舟云学术

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

Published:2020-12-28 Issue:04 Volume:18 Page:2150008
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

Tahar Bechouat¹²,Nadjib Boussetila²³,Faouzia Rebbani²⁴

Affiliation:

1. Department of Mathematics and Informatics, Faculty of Science and Technology, Mohammed Cherif Messaadia University, P. O. Box 1553, Souk Ahras 41000, Algeria

2. Applied Mathematics Laboratory, University Badji Mokhtar Annaba, P. O. Box 12, Annaba 23000, Algeria

3. Department of Mathematics, Faculty MISM, University 8 Mai 1945 Gulma, P. O. Box 401, Guelma 24000, Algeria

4. Ecole supérieure de Technologies Industrielles (ESTI), Annaba, Algérie

Abstract

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: [Formula: see text]. This approach is a combination of Tikhonov regularization method and the finite rank approximation of [Formula: see text]. Finally, numerical results are given to show the effectiveness of this method.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876221500080

Reference65 articles.

1. Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces

2. Self-regularization of projection methods with a posteriori discretization level choice for severely ill-posed problems

3. Spectral Methods

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