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


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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.

About the authors

B. S. Kashin

Steklov Mathematical Institute of Russian Academy of Sciences; Lomonosov Moscow State University

Author for correspondence.
Email: kashin@mi-ras.ru
Russian Federation, Moscow, 119991; Moscow, 119991

I. V. Limonova

Laboratory “Multidimensional Approximation and Applications”

Author for correspondence.
Email: limonova_irina@rambler.ru
Russian Federation, Moscow, 119991

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