B. S. Kashin, I. V. Limonova, “Decomposing a Matrix into two Submatrices with Extremally Small (2,1)-Norm”, Mat. Zametki, 2019, Volume 106, Issue 1,Pages <nobr>53

This article is cited in 5 papers

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

B. S. Kashin^ab, I. V. Limonova^c

^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.

UDC: 517.983

Received: 28.01.2019

DOI: 10.4213/mzm12325