Almost-commuting matrices are almost jointly diagonalizable
Numerical Analysis
2013-07-16 v2
Abstract
We study the relation between approximate joint diagonalization of self-adjoint matrices and the norm of their commutator, and show that almost commuting self-adjoint matrices are almost jointly diagonalizable by a unitary matrix.
Cite
@article{arxiv.1305.2135,
title = {Almost-commuting matrices are almost jointly diagonalizable},
author = {Klaus Glashoff and Michael M. Bronstein},
journal= {arXiv preprint arXiv:1305.2135},
year = {2013}
}
Comments
Minor corrections; results unchanged