Geodesic
Decomposing a Matrix into two Submatrices with Extremally Small (2,1)-Norm
Matematičeskie zametki, Tome 106 (2019) no. 1, pp. 53-61.

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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. 
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B. S. Kashin; I. V. Limonova. Decomposing a Matrix into two Submatrices with Extremally Small (2,1)-Norm. Matematičeskie zametki, Tome 106 (2019) no. 1, pp. 53-61. http://geodesic.mathdoc.fr/item/MZM_2019_106_1_a4/

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