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Characterization and properties of matrices with generalized symmetry or skew symmetry. (English) Zbl 1046.15028
For any nontrivial involution $$R$$, a complex $$n\times n$$ matrix $$A$$ is $$R$$-symmetric ($$R$$-skew symmetric) if $$RAR= A$$ $$(RAR= -A)$$. The author studies many property of these notions and gives characterization of $$R$$-symmetric (resp. $$R$$-skew symmetric) matrices.

##### MSC:
 15B57 Hermitian, skew-Hermitian, and related matrices 15A18 Eigenvalues, singular values, and eigenvectors
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##### References:
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