Almost orthogonal submatrices of an orthogonal matrix

Details Almost orthogonal submatrices of an orthogonal matrix Almost orthogonal submatrices of an orthogonal matrix

1996-06-10

arxiv.org/abs/math/9606213v1

Mathematics

Rings and Algebras

Scientific paper

Let $A$ be an $n \times M$ matrix whose rows are orthonormal. Let $A_I$ be a
submatrix of $A$ whose column indexes belong to the set $I$. Given $\epsilon
>0$ we estimate the smallest cardinality of the set $I$, such that the operator
$A_I$ is an $\epsilon$-isometry.

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