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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2008, Volume 11, Number 2, Pages 167–186
(Mi sjvm41)
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This article is cited in 6 scientific papers (total in 6 papers)
On elimination of accuracy saturation of regularizing algorithms
A. S. Leonov Moscow Engineering Physics Institute
Abstract:
A general approach to modification of well-known methods for the solution of linear ill-posed problems is proposed. The approach enables us to exclude a possible “saturation of accuracy” of methods on classes of sourcewise representable solutions. As a result, the modified methods possess the optimal order of accuracy on each of these classes. Numerical examples for the solution of 1D and 2D inverse problems are presented.
Key words:
ill-posed problems, accuracy saturation, soursewise represented solutions.
Received: 27.02.2007
Citation:
A. S. Leonov, “On elimination of accuracy saturation of regularizing algorithms”, Sib. Zh. Vychisl. Mat., 11:2 (2008), 167–186; Num. Anal. Appl., 1:2 (2008), 135–150
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https://www.mathnet.ru/eng/sjvm41 https://www.mathnet.ru/eng/sjvm/v11/i2/p167
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Abstract page: | 359 | Full-text PDF : | 114 | References: | 92 | First page: | 1 |
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