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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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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)
References:
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}
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  • https://www.mathnet.ru/eng/vsgtu/v121/p309
  • This publication is cited in the following 3 articles:
    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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    Full-text PDF :402
    References:67
    First page:1
     
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