Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle
| dc.creator | Davies, E. B. | |
| dc.creator | Simon, Barry | |
| dc.date | 2006-03-03 | |
| dc.date.accessioned | 2026-07-07T07:06:31Z | |
| dc.date.available | 2026-07-07T07:06:31Z | |
| dc.description | We prove that for any $n\times n$ matrix, $A$, and $z$ with $|z|\geq \|A\|$, we have that $\|(z-A)^{-1}\|\leq\cot (\fracπ{4n}) \dist (z, \spec(A))^{-1}$. We apply this result to the study of random orthogonal polynomials on the unit circle. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603098 | |
| dc.identifier | http://arxiv.org/abs/math/0603098 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110052 | |
| dc.subject | Spectral Theory | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 34L15, 05E35, 47B35 | |
| dc.title | Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle | |
| dc.type | text |