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Results tagged with sp.spectral-theory
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user 10095
Schrodinger operators, operators on manifolds, general differential operators, numerical studies, integral operators, discrete models, resonances, non-self-adjoint operators, random operators/matrices
17
votes
5
answers
2k
views
Can always a family of symmetric real matrices depending smoothly on a real parameter be dia...
This question is related to another question, but it is definitely not the same.
Is it always possible to diagonalize (at least locally around each point) a family of symmetric real matrices $A(t)$ w …
- 4,312
20
votes
2
answers
8k
views
Conditions for smooth dependence of the eigenvalues and eigenvectors of a matrix on a set of...
Let $A\in\mathcal M_n$ be an $n\times n$ real [symmetric] matrix which depends smoothly on a [finite] set of parameters, $A=A(\xi_1,\ldots,\xi_k)$. We can view it as a smooth function $A:\mathbb R^k\t …
- 4,312