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Mat. Zametki, 2019, Volume 106, Issue 1, Pages 53–61 (Mi mz12325)  

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

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).

Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/mzm12325

Full text: PDF file (477 kB)
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English version:
Mathematical Notes, 2019, 106:1, 63–70

Bibliographic databases:

UDC: 517.983
Received: 28.01.2019

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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  • https://doi.org/10.4213/mzm12325
  • http://mi.mathnet.ru/eng/mz/v106/i1/p53

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