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Mathematics of the USSR-Izvestiya, 1970, Volume 4, Issue 4, Pages 811–834
DOI: https://doi.org/10.1070/IM1970v004n04ABEH000934
(Mi im2448)
 

This article is cited in 1 scientific paper (total in 1 paper)

Stability of the Schmidt orthogonalization operator

A. M. Olevskii
References:
Abstract: In this article we prove the existence of points of local instability of the Schmidt orthogonalization operator and classify them. We establish the quadratic stability of this operator in a neighborhood of a fixed point.
Received: 31.10.1969
Bibliographic databases:
UDC: 517.5
MSC: 47A55
Language: English
Original paper language: Russian
Citation: A. M. Olevskii, “Stability of the Schmidt orthogonalization operator”, Math. USSR-Izv., 4:4 (1970), 811–834
Citation in format AMSBIB
\Bibitem{Ole70}
\by A.~M.~Olevskii
\paper Stability of the Schmidt orthogonalization operator
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 4
\pages 811--834
\mathnet{http://mi.mathnet.ru//eng/im2448}
\crossref{https://doi.org/10.1070/IM1970v004n04ABEH000934}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=280986}
\zmath{https://zbmath.org/?q=an:0213.39401|0219.46018}
Linking options:
  • https://www.mathnet.ru/eng/im2448
  • https://doi.org/10.1070/IM1970v004n04ABEH000934
  • https://www.mathnet.ru/eng/im/v34/i4/p803
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:320
    Russian version PDF:115
    English version PDF:13
    References:41
    First page:1
     
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