Some constants related to numerical ranges

Published 22 Jan 2016 in math.FA | (1601.06159v1)

Abstract: In an attempt to progress towards proving the conjecture the numerical range W (A) is a 2--spectral set for the matrix A, we propose a study of various constants. We review some partial results, many problems are still open. We describe our corresponding numerical tests.

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Michel Crouzeix

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