Numerical approximation of the boundary of numerical range of matrix polynomials
نویسندگان
چکیده
منابع مشابه
Numerical approximation of the boundary of numerical range of matrix polynomials
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: Applied Numerical Analysis & Computational Mathematics
سال: 2005
ISSN: 1611-8170,1611-8189
DOI: 10.1002/anac.200410029