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Invertibility of random matrices: norm of the inverse

Mark Rudelson
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Abstract

Let A be an n by n matrix, whose entries are independent copies of a centered random variable satisfying the subgaussian tail estimate. We prove that the operator norm of A^{-1} does not exceed Cn^{3/2} with probability close to 1.

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Mark Rudelson. 2005-07-01. Invertibility of random matrices: norm of the inverse. https://arxiv.org/abs/math/0507024

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