most citedEigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle

1 citations · 1 across the 2 of their papers we have counts for

collaborators
Showing math.SPShow all

2 papers · 1 filter

math.SP2008

Spectral Properties of Matrices Associated with Some Directed Graphs

E. B. Davies, Paul A. Incani

We study the spectral properties of certain non-self-adjoint matrices associated with large directed graphs. Asymptotically the eigenvalues converge to certain curves, apart from a…

math.SP2006★ 1 cited

Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle

E. B. Davies, Barry Simon

We prove that for any matrix, , and with , we have that $\|(z-A)^{-1}\|\leq\cot (\fracπ{4n}) \dist (z, \spec(A))^{-1}$. We apply this result to th…