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https://hdl.handle.net/10316/4578
Title: | Product of diagonal entries of the unitary orbit of a 3-by-3 normal matrix | Authors: | Nakazato, Hiroshi Bebiano, Natália Providência, João da |
Keywords: | Orthostochastic matrix; Star-shapedness; Diagonal entries | Issue Date: | 2008 | Citation: | Linear Algebra and its Applications. 429:4 (2008) 698-715 | Abstract: | 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. | URI: | https://hdl.handle.net/10316/4578 | DOI: | 10.1016/j.laa.2008.03.028 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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