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Asymptotic metrics on the space of matrices under the commutation relation (1305.2384v3)
Published 7 May 2013 in cs.NA and math.NA
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.