Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle
نویسندگان
چکیده
We prove that for any n × n matrix, A, and z with |z| ≥ ‖A‖, we have that ‖(z − A)−1‖ ≤ cot( π 4n )dist(z, spec(A)). We apply this result to the study of random orthogonal polynomials on the unit circle.
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عنوان ژورنال:
- Journal of Approximation Theory
دوره 141 شماره
صفحات -
تاریخ انتشار 2006