1111-15-745
Graça Soares* ([email protected]), Escola das Ciências e Tecnologia, Quinta dos Prados, 5000
801 Vila Real, Portugal, Rute Lemos ([email protected]), 3810 193 , Portugal, and Alexander
Guterman ([email protected]), Faculty of Algebra, Departament of Mathematics and Mechanics,
119991, Russia. When the C-determinantal range becomes real.
For n-square matrices A, C the C-determinantal range of A is the following subset of the complex plane {det(A−U CU ∗ ) :
U U ∗ = U ∗ U = In }. If A, C are Hermitian matrices, then by a result of M. Fiedler [?] this set is a real line segment. In
this talk, we establish some necessary and sufficient conditions for the C-determinantal range of A to be a subset of the
real line. (Received February 10, 2015)
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