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• W2038291298 abstract "Let c=(c 1,…,cn ) be in and A an n×n complex matrix. The c-numerical range of A is the set which is known to be convex. The matrix A is c-convex if Wc (A) is equal to the convex hull of the set where λ i (A),i=1,…,n, are the eigenvalues of A. In this note, we first give several characterizations of c-convex matrices. Then we study the inclusion relation between the sets for different c in where denotes the set of all c-convex matrices. In general, the set of normal matrices is contained in for any ; we identify those c for which the two sets are equal. Moreover, one of our characterizations of c-convex matrices employs a computable criterion for determining the supporting lines of Wc (A). The result could be used to design a program for plotting the set Wc (A), as shown in the appendix of this note." @default.
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• W2038291298 date "1989-12-01" @default.
• W2038291298 modified "2023-10-14" @default.
• W2038291298 title "<i>c</i>-convex matrices: characterizations, inclusion relations and normality" @default.
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• W2038291298 doi "https://doi.org/10.1080/03081088908817953" @default.
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