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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 4, Pages 371–385 (Mi sjvm487)  
This article is cited in 3 scientific papers (total in 3 papers)

On counter orthogonalization processes

A. O. Egorshin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (251 kB) Citations (3)
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Abstract: The deduction the counter orthogonalization equation for homogeneous, i.e., generated by isometric operators, vector systems in the Hilbert space is given. The application of this theory deals, in particular, with solving the Toeplitz algebraic and integral equations, some problems of the signals estimation, inverse problems of mathematical modeling, and identification.
Key words: homogeneous vectors systems, orthogonal projection, orthogonal projector, the Grama–Shmidt orthogonalization, counter orthogonalization.
Received: 06.02.2011
Revised: 17.03.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 4, Pages 307–319
DOI: https://doi.org/10.1134/S1995423912040039
Bibliographic databases:
Document Type: Article
UDC: 517.925.54+517.962.27/.8
Language: Russian
Citation: A. O. Egorshin, “On counter orthogonalization processes”, Sib. Zh. Vychisl. Mat., 15:4 (2012), 371–385; Num. Anal. Appl., 5:4 (2012), 307–319
Citation in format AMSBIB
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\transl
\jour Num. Anal. Appl.
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\pages 307--319
\crossref{https://doi.org/10.1134/S1995423912040039}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870401667}
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  • https://www.mathnet.ru/eng/sjvm487
  • https://www.mathnet.ru/eng/sjvm/v15/i4/p371
    • This publication is cited in the following 3 articles:
    1. Egorshin A.O., “Counter Equations: Smoothing, Filtration, Identification”, Sib. Electron. Math. Rep., 17 (2020), 1322–1351  mathnet  crossref  mathscinet  zmath  isi
    2. Egorshin A.O., “On Some Applications of Bilateral Orthogonalization in Computational Algebra”, Sib. Electron. Math. Rep., 16 (2019), 187–205  mathnet  crossref  mathscinet  zmath  isi  scopus
    3. A. O. Egorshin, “Identification and Discretization of the Linear Differential Equations with Constant Coefficients”, J. Math. Sci., 213:6 (2016), 844–856  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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    Abstract page:329
    Full-text PDF :105
    References:56
    First page:4
     
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