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Spectral approximation of banded Laurent matrices with localized random perturbations
- Abstract:
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This paper explores the relationship between the spectra of perturbed infinite banded Laurent matrices $L(a)+K$ and their approximations by perturbed circulant matrices $C_{n}(a)+P_{n}KP_{n}$ for large $n$. The entries $K_{jk}$ of the perturbation matrices assume values in prescribed sets $\Omega_{jk}$ at the sites $(j,k)$ of a fixed set $E$, and are zero at the sites $(j,k)$ outside $E$. With ${\cal K}_{\Omega}^{E}$ denoting the ensemble of these perturbation matrices, it is shown that $\di...
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Bibliographic Details
- Publisher:
- Unspecified
- Publication date:
- 2001-02-01
Item Description
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uuid:3f66d61c-56cd-4e7b-85f5-875a80a489d3
- Local pid:
- oai:eprints.maths.ox.ac.uk:1250
- Deposit date:
- 2011-05-31
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- Copyright date:
- 2001
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