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Let A and C be square complex matrices of size n, the C-determinantal range of A is the subset of the complex plane {det(A−UCU*):UU*=In}. If A, C are both Hermitian matrices, then by a result of Fiedler (1971) [11] this set is a real line segment.In our paper we study this set for the case when C is a Hermitian matrix. Our purpose is to revisit and improve two well-known results on this topic. The...
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