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arxiv: math/0507024 · v1 · submitted 2005-07-01 · 🧮 math.FA

Invertibility of random matrices: norm of the inverse

classification 🧮 math.FA
keywords normrandomcenteredclosecopiesentriesestimateexceed
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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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