Geometrical properties of numerical range of matrix polynomials
نویسندگان
چکیده
منابع مشابه
Topological Properties of the Numerical Range of Matrix Polynomials
Some fundamental examples are provided, which are useful to study the topological properties of the numerical range of matrix polynomials. Mathematics Subject Classification: 47A12, 47A56
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متن کاملThe Boundary of the Numerical Range of Matrix Polynomials
Some algebraic properties of the sharp points of the numerical range of matrix polynomials are the main subject of this paper. We also consider isolated points of the numerical range and the location of the numerical range in a circular annulus.
متن کاملOn 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: Computers & Mathematics with Applications
سال: 1996
ISSN: 0898-1221
DOI: 10.1016/0898-1221(95)00214-6