q-numerical ranges of normal and convex matrices
Chi-Kwong Li · Linear and Multilinear Algebra · 1998
Let q be a complex number with The q-numerical range of an n× ncomplex matrix Ais defined by Nakazato gave a complete description for the q-numerical range of normal matrices. We refine his result, and consider its extension to convex matrices, i.e., matrices Afor which W(1:A) equals to the convex hull of the spectrum of A.