Special unitary matrices;
Diagonal product;
Constrained optimization;
D O I:
10.1016/j.laa.2024.03.025
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
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. (c) 2024 Elsevier Inc. All rights reserved.