Slices of matrices - a scenario for spectral theory
Rings and Algebras
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0202054,
title = {Slices of matrices - a scenario for spectral theory},
author = {Ricardo S. Leite and Carlos Tomei},
journal= {arXiv preprint arXiv:math/0202054},
year = {2007}
}
Comments
7 pages, 2 figures