Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 3, Pages 46–48 (Mi vmumm4328)  
This article is cited in 1 scientific paper (total in 1 paper)

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Norm estimates for matrices with arbitrary elements constant in binary blocks

E. M. Dyuzhev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A sequence of recursively constructed matrices which are dyadic analogues of Hilbert matrices is considered. The operator norm of these matrices in a Euclidean space is studied. Estimates of norms of matrices optimal in order and their lower triangular parts are obtained.
Key words: Rademacher function, Walsh function, operator norm of a matrix.
Funding agency Grant number
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS
Received: 21.06.2019
English version:
Moscow University Mathematics Bulletin, 2020, Volume 75, Issue 3, Pages 126–128
DOI: https://doi.org/10.3103/S002713222003002X
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: E. M. Dyuzhev, “Norm estimates for matrices with arbitrary elements constant in binary blocks”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 3, 46–48; Moscow University Mathematics Bulletin, 75:3 (2020), 126–128
Citation in format AMSBIB
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