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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 12, Pages 23–30
DOI: https://doi.org/10.26907/0021-3446-2021-12-23-30
(Mi ivm9734)
 

This article is cited in 2 scientific papers (total in 2 papers)

Kaczmarz method for fuzzy linear systems

L. Biana, S. Zhangb, S. Wangb, K. Wanga

a Shanghai University, Shanghai, 200444, P.R. China
b Nanyang Vocational College of Agriculture, Nanyang, 473000, P.R. China
Full-text PDF (340 kB) Citations (2)
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Abstract: A Kaczmarz method is presented for solving a class of fuzzy linear systems of equations with crisp coefficient matrix and fuzzy right-hand side. The iterative scheme is established and the convergence theorem is provided. Numerical examples show that the method is effective.
Keywords: fuzzy linear system, Kaczmarz method, iterative scheme.
Funding agency Grant number
Natural Science Foundation of Hunan Province 20B110012
Received: 23.02.2021
Revised: 23.02.2021
Accepted: 29.06.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 12, Pages 20–26
DOI: https://doi.org/10.3103/S1066369X21120033
Document Type: Article
UDC: 517
Language: Russian
Citation: L. Bian, S. Zhang, S. Wang, K. Wang, “Kaczmarz method for fuzzy linear systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 12, 23–30; Russian Math. (Iz. VUZ), 65:12 (2021), 20–26
Citation in format AMSBIB
\Bibitem{BiaZhaWan21}
\by L.~Bian, S.~Zhang, S.~Wang, K.~Wang
\paper Kaczmarz method for fuzzy linear systems
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 12
\pages 23--30
\mathnet{http://mi.mathnet.ru/ivm9734}
\crossref{https://doi.org/10.26907/0021-3446-2021-12-23-30}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 12
\pages 20--26
\crossref{https://doi.org/10.3103/S1066369X21120033}
Linking options:
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  • https://www.mathnet.ru/eng/ivm/y2021/i12/p23
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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