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math.PR2007★ 13 cited
Random Matrices: The circular Law
Terence Tao, Van Vu
Let $\a$ be a complex random variable with mean zero and bounded variance . Let be a random matrix of order with entries being i.i.d. copies of $\a$. Let $λ_{1},…
math.PR2007
The condition number of a randomly perturbed matrix
Terence Tao, Van Vu
Let be an arbitrary by matrix. We study the condition number a random perturbation of , where is a random matrix. It is shown that, under very general…