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Suppose that Tn is a Toeplitz matrix whose entries come from a sequence of independent but not necessarily identically distributed random variables with mean zero. Under some additional tail condition...
Spectral norm of random large dimensional noncentral Toeplitz and Hankel matrices
Spectral norm random variable Toeplitz Hankel matrices
2009/3/23
Suppose sn is the spectral norm of either the Toeplitz or the Hankel matrix whose entries come from an i.i.d. sequence of random variables with positive mean μ and finite fourth moment. We show that n...
On the lower bound of the spectral norm of symmetric random matrices with independent entries
spectral norm random symmetric matrix
2009/3/20
We show that the spectral radius of an N-dimensional random symmetric matrix with i.i.d. bounded centered but non-symmetrically distributed entries is bounded from below by 2σ - o(N-6/11+ε), where σ2 ...