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Sbornik: Mathematics, 2007, Volume 198, Issue 3, Pages 425–432
DOI: https://doi.org/10.1070/SM2007v198n03ABEH003842 (Mi sm1530) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Lower bounds for separable approximations of the Hilbert kernel

I. V. Oseledets

Institute of Numerical Mathematics, Russian Academy of Sciences
English version PDF (198 kB) Citations (16)
References:
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DOI: https://doi.org/10.1070/SM2007v198n03ABEH003842
Abstract: Asymptotically best possible lower bounds for separable approximations are obtained for the function $1/(x+y)$. The method used for the derivation of such bounds is based on the generalization of the maximal volume principle for low-rank approximations.
Bibliography: 10 titles.
Received: 16.02.2006
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 3, Pages 137–144
DOI: https://doi.org/10.4213/sm1530
Bibliographic databases:
UDC: 519.6+517.518.8
MSC: Primary 41A46; Secondary 65F30
Language: English
Original paper language: Russian
Citation: I. V. Oseledets, “Lower bounds for separable approximations of the Hilbert kernel”, Mat. Sb., 198:3 (2007), 137–144; Sb. Math., 198:3 (2007), 425–432
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:646
    Russian version PDF:269
    English version PDF:34
    References:61
    First page:3
     
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