Product of diagonal entries of the unitary orbit of a 3-by-3 normal matrix

• Author(s): Nakazato, Hiroshi ; Bebiano, Natália ; Providência, João da
• Date: 2008
• Persistent ID: http://hdl.handle.net/10316/4578
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Orthostochastic matrix; Star-shapedness; Diagonal entries
• Document Type: Article
• Language: English

Description

Let N be a 3×3 normal matrix. We investigate the sets where U(3) is the group of 3×3 unitary matrices and 1[less-than-or-equals, slant]k[less-than-or-equals, slant]3. Geometric properties of these sets are studied, namely, star-shapedness and simple connectedness are investigated. A method for the numerical estimation of is also provided for normal matrices of size 3. http://www.sciencedirect.com/science/article/B6V0R-4SHFSVR-4/1/2008df570fde4f69afb7e3c7a0f6574f