2002/02/06 by Ricardo S. Leite, Carlos Tomei, Leite, Ricardo S. +1
Computer Science · Mathematics · Physics and Astronomy · #15A18 #15A23 #58F07 #FOS: Mathematics #Matrix Theory and Algorithms #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.RA #msc:15A18 #msc:15A23 #msc:58F07
paper · pdf · doi:10.48550/arxiv.math/0202054
7 pages, 2 figures
arxiv created 2002/02/06 · openalex publication_date 2002/02/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.