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Matematicheskie Zametki, 2019, Volume 106, Issue 1, Pages 53–61
DOI: https://doi.org/10.4213/mzm12325 (Mi mzm12325) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Decomposing a Matrix into two Submatrices with Extremally Small (2,1)-Norm

B. S. Kashinab, I. V. Limonovac

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University
c Laboratory "Multidimensional Approximation and Applications", Lomonosov Moscow State University
Full-text PDF (477 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm12325
Abstract: We consider conditions on a matrix $A$ with unit operator $(2,1)$-norm ensuring the existence of a partition of this matrix into two submatrices with $(2,1)$-norms close to $1/2$.
Keywords: submatrix, operator norm.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.W03.31.0031
This work was supported by the Government of the Russian Federation (grant no. 14.W03.31.0031).
Received: 28.01.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 1, Pages 63–70
DOI: https://doi.org/10.1134/S000143461907006X
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: B. S. Kashin, I. V. Limonova, “Decomposing a Matrix into two Submatrices with Extremally Small (2,1)-Norm”, Mat. Zametki, 106:1 (2019), 53–61; Math. Notes, 106:1 (2019), 63–70
Citation in format AMSBIB
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