Asymptotic metrics on the space of matrices under the commutation relation
Numerical Analysis
2013-07-17 v3 Numerical Analysis
Abstract
We show that the norm of the commutator defines "almost a metric" on the quotient space of commuting matrices, in the sense that it is a semi-metric satisfying the triangle inequality asymptotically for large matrices drawn from a "good" distribution.
Keywords
Cite
@article{arxiv.1305.2384,
title = {Asymptotic metrics on the space of matrices under the commutation relation},
author = {Klaus Glashoff and Michael M. Bronstein},
journal= {arXiv preprint arXiv:1305.2384},
year = {2013}
}
Comments
Minor correction; results unchanged