The correlation numerical range and trace-positive complex polynomials
نویسندگان
چکیده
منابع مشابه
the algorithm for solving the inverse numerical range problem
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15 صفحه اولOn the q-numerical range of matrices and matrix polynomials
The q-numerical range (0 ≤ q ≤ 1) of an n × n matrix polynomial P (λ) = Amλ m + · · ·+ A1λ + A0 is defined by Wq(P ) = {λ ∈ C : y∗P (λ)x = 0, x, y ∈ C, x∗x = y∗y = 1, y∗x = q}. In this paper, we investigate the boundary and the shape of Wq(P ), using the notion of local dimension. We also obtain that the q-numerical range of first order matrix polynomials is always simply connected. Moreover, t...
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2016
ISSN: 1846-3886
DOI: 10.7153/oam-10-36