Slices of matrices - a scenario for spectral theory

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Given a real, symmetric matrix S, we define the slice through S as being the connected component containing S of two orbits under conjugation: the first by the orthogonal group, and the second by the upper triangular group. We describe some classical constructions in eigenvalue computations and integrable systems which keep slices invariant -- their properties are clarified by the concept. We also parametrize the closure of a slice in terms of a convex polytope.
7 pages, 2 figures

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Rings and Algebras, 58F07; 15A18; 15A23

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http://salesiana.dossiersoluciones.com/handle/123456789/63290

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202054
 http://arxiv.org/abs/math/0202054

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arXiv