Polynomial numerical hulls of matrix polynomials,II |
| |
Authors: | Gholamreza Aghamollaei Abbas Salemi |
| |
Affiliation: | 1. Department of Mathematics , Shahid Bahonar University of Kerman , 76169-14111 Kerman, Iran aghamollaei@mail.uk.ac.ir;3. Department of Mathematics , Shahid Bahonar University of Kerman , 76169-14111 Kerman, Iran |
| |
Abstract: | In this article, we study some algebraic and geometrical properties of polynomial numerical hulls of matrix polynomials and joint polynomial numerical hulls of a finite family of matrices (possibly the coefficients of a matrix polynomial). Also, we study polynomial numerical hulls of basic A-factor block circulant matrices. These are block companion matrices of particular simple monic matrix polynomials. By studying the polynomial numerical hulls of the Kronecker product of two matrices, we characterize the polynomial numerical hulls of unitary basic A-factor block circulant matrices. |
| |
Keywords: | matrix polynomial polynomial numerical hull basic A-factor block circulant matrix block companion matrix Kronecker product |
|
|