New answers tagged eigenvalues
3
votes
Matlab eigs function with function handle
The non-function handle version of the eigs function
assumes that the A-matrix (and optionally the B-matrix) are
defined as matlab sparse matrices and operated on using
matlab sparse matrix functions.
...
- 5,954
4
votes
Matlab eigs function with function handle
This is for algorithms like Lanzcos-Arnoldi or Krylov-Schur, as mentioned in the reference part of the documentation page. Generally these are Krylov-space generalizations of the power iteration, ...
- 5,204
3
votes
Accepted
Numerical continuation of all eigenvalues of small, dense matrices
I think a good direction would be to look at continuation of eigenvectors/invariant subspace, not just the eigenvalues. You could proceed as follows:
calculate schur form: $A(q_i) = Q(q_i)T(q_i)Q(q_i)...
- 1,331
10
votes
Accepted
Why are all eigen solvers iterative?
There is simply no closed-form expression in terms of the four operations and radicals for the eigenvalues of a matrix greater than $4\times 4$.
This follows from the facts that (1) there are ...
- 10.6k
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