Numerical approximation of the boundary of numerical range of matrix polynomials
نویسندگان
چکیده
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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تاریخ انتشار 2005