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Results tagged with perturbation-theory
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user 36272
4
votes
1
answer
391
views
Distribution of the spectrum of a perturbed matrix
Let $A$ be an $n\times n$ Hermitian matrix,
with well-separated eigenvalues $\lambda_1 > \lambda_2 ... > \lambda_n$,
with $|\lambda_i-\lambda_j|>\epsilon$, for all $i \neq j$.
Let $G$ be a Gaussian m …
- 445
6
votes
1
answer
363
views
Separating the spectrum of a Hermitian matrix
Given Hermitian matrix $A$, I would like to perturbate it so that its eigenvalues become well-separated.
Specifically, let $A$ be some Hermitian matrix, and let $G$ be a Gaussian matrix, with each
ent …
- 445