Decomposing a Matrix into two Submatrices with Extremally Small (2,1)-Norm
- Authors: Kashin B.S.1,2, Limonova I.V.3
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Lomonosov Moscow State University
- Laboratory “Multidimensional Approximation and Applications”
- Issue: Vol 106, No 1-2 (2019)
- Pages: 63-70
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151804
- DOI: https://doi.org/10.1134/S000143461907006X
- ID: 151804
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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.
Keywords
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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