The numerical range of certain 0,1-matrices †
✍ Scribed by Marcus, Marvin; Shure, B. N.
- Book ID
- 121315424
- Publisher
- Taylor and Francis Group
- Year
- 1979
- Tongue
- English
- Weight
- 449 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0308-1087
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper is a survey of the main propertics of special O-1 matrices. All thcsc prcrpertles are presented in a unified bmework (in terms of matrices and not in terms of hypergraphs). The paper contains no original result and no proof. NuI doute que I'une des idles de Bcrge quand il a introduit le c
We show that an n-by-n companion matrix A can have at most n line segments on the boundary NW (A) of its numerical range W(A), and it has exactly n line segments on NW (A) if and only if, for n odd, A is unitary, and, for n even, A is unitarily equivalent to the direct sum A 1 ⊕ A 2 of two (n/2)-by-