The boundary of the numerical range of matrix polynomials
نویسندگان
چکیده
منابع مشابه
The 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.
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The numerical range of an n×n matrix polynomial P (λ) = Amλ + Am−1λm−1 + · · ·+ A1λ + A0 is defined by W (P ) = {λ ∈ C : x∗P (λ)x = 0, x ∈ C, x∗x = 1}, and plays an important role in the study of matrix polynomials. In this paper, we describe a methodology for the illustration of its boundary, ∂W (P ), using recent theoretical results on numerical ranges and algebraic curves.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1997
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(97)80044-4