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Results tagged with eigenvalues
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user 108314
eigenvalues of matrices or operators
5
votes
3
answers
269
views
Significance of the length of the Perron eigenvector
Let $A$ be a positive square matrix. Perron-Frobenius theory says that there exist $\lambda,v$ with $Av=\lambda v$ and $\lambda$ equals the spectral radius of $A$, $\lambda$ is simple, and $v$ is posi …
- 175
2
votes
0
answers
68
views
Unimodular eigenvalue of a H-self-adjoint matrix (indefinite innerproduct)
In particular, whereas standard unitary matrices have all their eigenvalues on the unit circle, the spectrum of $H$-unitary matrices is merely symmetric with respect to the unit circle, that is, if $A$ … And I have not been able to find results on unimodular eigenvalues of $H$-self-adjoint matrices. Any help is appreciated!
[1] Gohberg, Israel, Peter Lancaster, and Leiba Rodman. …
- 175