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math.NA2013★ 1 cited
Asymptotic metrics on the space of matrices under the commutation relation
Klaus Glashoff, Michael M. Bronstein
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 inequal…
math.NA2013★ 5 cited
Almost-commuting matrices are almost jointly diagonalizable
Klaus Glashoff, Michael M. Bronstein
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…