Flat portions on the boundary of the indefinite numerical range of 3×3 matrices

• Author(s): Bebiano, N. ; Providência, J. da ; Teixeira, R.
• Date: 2008
• Persistent ID: http://hdl.handle.net/10316/4584
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Indefinite numerical range; Indefinite inner product space; Plane algebraic curve; Flat portion
• Document Type: Article
• Language: English

Description

We focus on complex 3×3 matrices whose indefinite numerical ranges have a flat portion on the boundary. The results here obtained are parallel to those of Keeler, Rodman and Spitkovsky for the classical numerical range. http://www.sciencedirect.com/science/article/B6V0R-4S09585-1/1/cfd4cc3f5f7e4af2bc2e55b75b3a397b