On the C-determinantal range for special classes of matrices

Alexander Guterman, Rute Lemos and Graça Soares

Applied Mathematics and Computation, 2016, vol. 275, issue C, 86-94

Abstract: 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.

Keywords: C-determinantal range; C-numerical range; Marcus-Oliveira conjecture; σ-points; Real sets (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:275:y:2016:i:c:p:86-94

DOI: 10.1016/j.amc.2015.11.042

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