On the diagonal product of special unitary matrices

We study the image of SU(n) under the diagonal product map. Using only elementary tools of linear algebra, analysis and general topology, we find the analytical formula for the boundary of this image and find all special unitary matrices whose diagonal product lies on that boundary.

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Bibliographic Details
Published in:Linear algebra and its applications 2024-06, Vol.691, p.216-232
Main Author: Miller, Tomasz
Format: Article
Language:English
Subjects:
Constrained optimization
Diagonal product
Special unitary matrices
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Description
Summary:We study the image of SU(n) under the diagonal product map. Using only elementary tools of linear algebra, analysis and general topology, we find the analytical formula for the boundary of this image and find all special unitary matrices whose diagonal product lies on that boundary.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2024.03.025