Abstract: We present a procedure which enables the computation and the description of structures of isotropy subgroups of the group of complex orthogonal matrices with respect to the action of $^\ast$congruence on Hermitian matrices. A key ingredient in our proof is an algorithm giving solutions of a certain rectangular block (complex-alternating) upper triangular Toeplitz matrix equation.Keywords: isotropy groups, matrix equations, complex orthogonal matrices, Hermitian matrices, Toeplitz matricesPublished in DiRROS: 06.05.2024; Views: 90; Downloads: 48 Full text (651,15 KB)This document has many files! More...
