NEIGHBORHOOD SYSTEMS AND KACZMARZ ALGORITHM
- Authors: Shmyrin A.M.1, Mishachev N.M.1
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Affiliations:
- Lipetsk State Technical University
- Issue: Vol 21, No 6 (2016)
- Pages: 2113-2120
- Section: Articles
- URL: https://ogarev-online.ru/2686-9667/article/view/365989
- DOI: https://doi.org/10.20310/1810-0198-2016-21-6-2113-2120
- ID: 365989
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Abstract
About the authors
Anatoliy Mihaylovich Shmyrin
Lipetsk State Technical University
Email: amsh@lipetsk.ru
Doctor of Techniques, Professor, the Head of the High Mathematics Department Lipetsk, the Russian Federation
Nikolay Mikhailovich Mishachev
Lipetsk State Technical University
Email: nmish@lipetsk.ru
Candidate of Physics and Mathematics, Associate Professor of the High Mathematics Department Lipetsk, the Russian Federation
References
Блюмин С.Л., Шмырин A.M. Окрестностные системы. Липецк: ЛЭГИ, 2005. Шмырин А.М., Мишачев Н.М., Косарева А.С. Кластеризация окрестностной структуры // Вестник Тамбовского университета. Серия Естественные и технические науки. Тамбов, 2016. Т. 21. Вып. 2. С. 457-462. Шмырин А.М., Мишачев Н.М., Косарева А.С. Метрики на множестве узлов окрестностной структуры // Системы управления и информационные технологии. 2016. Т. 64. № 2. С. 31-35. Kaczmarz S. Approximate solution of systems of linear equations // Internat. J. Control. 1993. V. 57. № 6. P. 1269-1271. Strohmer T., Vershynin R. A randomized Kaczmarz algorithm with exponential convergence // Journal of Fourier Analysis and Applications. 2009. V. 15(1). P. 262-278. Strohmer T., Vershynin R. Comments on the Randomized Kaczmarz Method // Journal of Fourier Analysis and Applications. 2009. V. 15(4). P. 437-440. Censor Y., Herman G., Jiang M. A Note on the Behavior of the Randomized Kaczmarz Algorithm of Strohmer and Vershynin // Journal of Fourier Analysis and Applications. 2009. V. 15(4). P. 431-436. Byrne C. Convergent Block-Iterative Algorithms for Image Reconstruction from Inconsistent Data. IEEE Transactions on Image Processing IP-6. 1997. P. 1296-1304.
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