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Results tagged with eigenvalues
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user 29887
eigenvalues of matrices or operators
2
votes
Relationship between the eigenvalues of a matrix and its symmetric or antisymmetric part
Assume that $N$ is a real valued matrix. Let $x$ be an eigenvector corresponding to $\lambda_s$, i.e. $N_sx = \lambda_sx$. Note that $N_ax$ is always orthogonal to $x$. Therefore $||Nx||^2 = {\lambda_ …
- 720
0
votes
Accepted
Perturbing a normal matrix
$\epsilon = 0 \implies \exists v: v $ is eigenvector of N and $v$ is orthogonal to $e_1 \implies Mv = Nv \implies v $ is an eigenvector of $M$ with same eigenvalue. So if $\epsilon = 0$ then $\delta$ …
- 720
7
votes
Linearly constrained eigenvalue problem
/sparse-smallest-eigenvalue-problem-on-a-linear-subspace :) Or you can read Golub's original paper Some modified matrix eigenvalue problems
The basic intuition is that basically you want to find the eigenvalues …
- 720