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Essentially Hermitian matrices revisited

2006
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The Electronic Journal of Linear Algebra
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The following case of the Determinantal Conjecture of Marcus and de Oliveira is established. Let A and C be hermitian n × n matrices with prescribed eigenvalues a 1 , . . . , an and c 1 , . . . , cn, respectively. Let κ be a non-real unimodular complex number, B = κC, b j = κc j for j = 1, . . . , n. Then where Sn denotes the group of all permutations of {1, . . . , n} and co the convex hull taken in the complex plane. * http://math.technion.ac.il/iic/ela ELA Essentially Hermitian Matrices

doi:10.13001/1081-3810.1239
fatcat:2ak6dbhskffvdabyjxi3avhjsu