Polynomial numerical hulls of matrices
โ Scribed by Chandler Davis; Chi-Kwong Li; Abbas Salemi
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 428 KB
- Volume
- 428
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The polynomial numerical hull of degree k for a square matrix A is a set designed to give useful information about the norms of polynomial functions of the matrix; it is defined as |p(z)| for all p of degree k or less}. While these sets have been computed numerically for a number of matrices, the
Six characterizations of the polynomial numerical hull of degree k are established for bounded linear operators on a Hilbert space. It is shown how these characterizations provide a natural distinction between interior and boundary points. One of the characterizations is used to prove that the polyn
Let Ct be the ring of all polynomials in the real variable t with complex coef-ยฎcients. We show that if A is an n-square hermitian matrix with entries in R, then A is congruent to the direct sum of a zero matrix and a diagonally dominant matrix. Here, diagonally dominant means that the degree of any