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Article information
2010 , Volume 15, ¹ 2, p.15-23
Vasin V.V., Serezgnikova T.I.
A regularizing algorithm for approximation of a non-smooth solution of Fredholm integral equations of the first kind
In this paper we offer and investigate a regularizing algorithm for reconstruction of a non-smooth solution for Fredholm integral equations of the first kind. This algorithm is based on Tikhonov regularization with non-differentiable stabilizer, the prox-method, and the sub gradient process of non-smooth minimization. Results of numerical experiments are provided
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Keywords: Fredholm integral equation, non-smooth solution, Tikhonov regularization, prox-method, subgradient process
Author(s):
Vasin Vladimir Vasilievich
Dr. , Correspondent member of RAS, Professor
Position: Head of Departament
Office: Institute of Mathematics and Mechanics of the Ural Division of RAS
Address: 620075, Russia, Ekaterinburg
Phone Office: (343) 374 32 92
E-mail: vasin@imm.uran.ru
Serezgnikova Tatyana Ivanovna
PhD. , Associate Professor
Position: Senior Research Scientist
Office: Institute of Mathematics and Mechanics of the Ural Division of RAS
Address: 620102, Russia, Ekaterinburg
Phone Office: (343) 375 3429
E-mail: sti@imm.uran.ru
Bibliography link:
Vasin V.V., Serezgnikova T.I. A regularizing algorithm for approximation of a non-smooth solution of Fredholm integral equations of the first kind // Computational technologies. 2010. V. 15. ¹ 2. P. 15-23
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