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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2010, Issue 5(21), Pages 309–312
DOI: https://doi.org/10.14498/vsgtu827 (Mi vsgtu827) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Communication
Calculus Mathematics

Projection Regularization Algorithm for Solving Linear Algebraic System of Large Dimension

A. I. Zhdanov, A. A. Ivanov

Dept. of Applied Mathematics, S. P. Korolyov Samara State Aerospace University (National Research University), Faculty of Computer Science, Samara
Full-text PDF (159 kB) Citations (3)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu827
Abstract: The iterative projection algorithm for solving ill-posed systems of linear algebraic equations is examined. This algorithm is based on transforming the regularized normal equations to the equivalent augmented regularized normal system of equations. The proposed algorithm can effectively solve ill-posed problems of large dimension.
Keywords: iterativ projection method, incorrect problems, regularized solution.
Original article submitted 02/IX/2010
revision submitted – 13/X/2010
Bibliographic databases:
Document Type: Article
UDC: 519.612
MSC: 65F10
Language: Russian
Citation: A. I. Zhdanov, A. A. Ivanov, “Projection Regularization Algorithm for Solving Linear Algebraic System of Large Dimension”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 309–312
Citation in format AMSBIB
\Bibitem{ZhdIva10}
\by A.~I.~Zhdanov, A.~A.~Ivanov
\paper Projection Regularization Algorithm for Solving Linear Algebraic System of Large Dimension
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 5(21)
\pages 309--312
\mathnet{http://mi.mathnet.ru/vsgtu827}
\crossref{https://doi.org/10.14498/vsgtu827}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu827
  • https://www.mathnet.ru/eng/vsgtu/v121/p309
    • This publication is cited in the following 3 articles:
    1. Y. V. Sidorov, “Single Acceleration Methods of the Kaczmarz Algorithm Regularized Modifications”, Procedia Computer Science, 154 (2018), 319–326  crossref  scopus
    2. A. I. Zhdanov, E. Yu. Bogdanova, “Ob odnoi vychislitelnoi realizatsii blochnogo metoda Gaussa–Zeidelya dlya normalnykh sistem uravnenii”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 20:4 (2016), 730–738  mathnet  crossref  zmath  elib
    3. A. I. Zhdanov, Yu. V. Sidorov, “Parallelnaya realizatsiya randomizirovannogo regulyarizovannogo algoritma Kachmazha”, Kompyuternaya optika, 39:4 (2015), 536–541  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    References:86
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