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Results tagged with eigensystem
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user 27918
An eigenvector of an operator is a vector such that the action of the operator is the same as multiplication by a constant, called the eigenvalue. The eigensystem of an operator is the set of all such eigenvectors and their associated eigenvalues.
6
votes
1
answer
176
views
Eigenvalue problems with extremely small gaps
I'm interested in numerically diagonalizing a class of structured, symmetric eigenvalue problems with potentially extremely small eigenvalue gaps. The question I have is how to design a numerically st …
- 303
4
votes
Accepted
Sorting eigenvalues by the dominant contribution
You'd like to sort eigenvalues/eigenvectors in a way that is continuous as you move through momentum. This highly constrains the sorting - for most k-points, you must sort the eigenvalues to be a clos …
- 303
7
votes
Accepted
Eigenvector with maximum overlap
The following paper suggests that the Jacobi-Davidson method can be used to target eigenvectors based on "any property that can be computed from the eigenvector", which would seem to include overlap w …
- 303