TheC-convex matrices
- 1 November 1987
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 21 (3) , 303-312
- https://doi.org/10.1080/03081088708817805
Abstract
Let C and Abe n× ncomplex matrices with eigenvalues , respectively. The C-numerical range of A is the set The matrix A is and to be C-convex. if W(C, 4) equals the convex hull of the set . In this note we obtain characterization theorems of C-convex matrices. They give us information about the relation between the geometric properties of the C-numerical range of A and the algebraic properties of the matrices C and A. We also study and extend other results about C-convex matricesKeywords
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