Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602758 | Linear Algebra and its Applications | 2008 | 18 Pages |
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⩽k⩽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.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory