Matrix pencils with the numerical range equal to the whole complex plane
نویسندگان
چکیده
The main purpose of this article is to show that the numerical range a linear pencil λA+B equal C if and only 0 belongs convex hull joint A B. We also prove A+A⁎,B+B⁎⩾0, then B have common isotropic vector. Moreover, we improve classical result which describes Hermitian pencils.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2023
ISSN: ['1873-1856', '0024-3795']
DOI: https://doi.org/10.1016/j.laa.2022.10.021