论文标题

将矩阵分解为具有极小操作员规范的两个子膜片

Decomposing a matrix into two submatrices with extremely small operator norm

论文作者

Limonova, Irina

论文摘要

我们在矩阵上提供足够的条件,以确保该矩阵的分区存在为两个矢量图像规范的两个子膜片。在矩阵A上的某些弱条件下,我们获得了A分区,并具有极小的$(1,Q)$ - 一量的标准。

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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