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Isotropy groups of the action of orthogonal similarity on symmetric matrices.

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Názov: Isotropy groups of the action of orthogonal similarity on symmetric matrices.
Autori: Starčič, Tadej1,2 (AUTHOR) tadej.starcic@pef.uni-lj.si
Zdroj: Linear & Multilinear Algebra. Mar2023, Vol. 71 Issue 5, p842-866. 25p.
Predmety: *TOEPLITZ matrices, *ISOTROPY subgroups, *COMPLEX matrices, *SYMMETRIC matrices, *EQUATIONS
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáza: Academic Search Index
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Abstrakt: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. [ABSTRACT FROM AUTHOR]
ISSN:03081087
DOI:10.1080/03081087.2022.2044746