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: 1; Downloads: 0 Full text (651,15 KB)This document has many files! More...
Abstract: We find an algorithmic procedure that enables the computation and description of the structure of the isotropy subgroups of the group of complex orthogonal matrices with respect to the action of similarity on complex symmetric matrices. A key step in our proof is to solve a certain rectangular block upper triangular Toeplitz matrix equation.Keywords: isotropy groups, matrix equations, orthogonal matrices, symmetric matrices, Toeplitz matricesPublished in DiRROS: 08.04.2024; Views: 77; Downloads: 42 Full text (2,08 MB)This document has many files! More...
