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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 4, Pages 541–549
DOI: https://doi.org/10.7868/S0044466918040051 (Mi zvmmf10717) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Application of two-parameter stabilizing functions in solving a convolution-type integral equation by regularization method

M. L. Maslakov

Russian Institute for Power Radiobuilding, St. Petersburg, Russia
Citations (6)
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DOI: https://doi.org/10.7868/S0044466918040051
Abstract: This paper examines the solution of convolution-type integral equations of the first kind by applying the Tikhonov regularization method with two-parameter stabilizing functions. The class of stabilizing functions is expanded in order to improve the accuracy of the resulting solution. The features of the problem formulation for identification and adaptive signal correction are described. A method for choosing regularization parameters in problems of identification and adaptive signal correction is suggested.
Key words: convolution-type equation, ill-posed problem, regularizing algorithms, regularization parameter, estimation of accuracy.
Received: 01.08.2016
Revised: 08.08.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 4, Pages 529–536
DOI: https://doi.org/10.1134/S0965542518040139
Bibliographic databases:
Document Type: Article
UDC: 519.64
Language: Russian
Citation: M. L. Maslakov, “Application of two-parameter stabilizing functions in solving a convolution-type integral equation by regularization method”, Zh. Vychisl. Mat. Mat. Fiz., 58:4 (2018), 541–549; Comput. Math. Math. Phys., 58:4 (2018), 529–536
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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