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Results tagged with perturbation
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user 36272
4
votes
1
answer
391
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Distribution of the spectrum of a perturbed matrix
Note that the strength of the perturbation is significantly smaller than the inter-eigenvalue distance, so eigenvalue repulsion can be made arbitrarily weak. … If the answer is negative, is there ANY perturbation technique that can yield properties (1) and (2) for any such matrix $A$? …
- 445
6
votes
1
answer
363
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Separating the spectrum of a Hermitian matrix
In addition, some eigenvalues can be at arbitrarily close distance to each other so that while variational techniques collapse, degenerate perturbation analysis is not completely accurate either. …
- 445