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arXiv · 2003.00979

Decomposing a matrix into two submatrices with extremely small operator norm

Irina Limonova
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Abstract

We give sufficient conditions on a matrix A ensuring the existence of a partition of this matrix into two submatrices with extremely small norm of the image of any vector. Under some weak conditions on a matrix A we obtain a partition of A with the extremely small $(1,q)$-norm of submatrices.

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Irina Limonova. 2020-03-02. Decomposing a matrix into two submatrices with extremely small operator norm. https://doi.org/10.1134/s0001434620070135

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