Geodesic
Structured Jordan canonical forms for structured matrices that are Hermitian, skew Hermitian or unitary with respect to indefinite inner products
The electronic journal of linear algebra, Tome 5 (1999), pp. 67-103.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: For inner products defined by a symmetric indefinite matrix $\Sigma p$;q , canonical forms for real or complex $\Sigma p$;q -Hermitian matrices, $\Sigma p$;q -skew Hermitian matrices and $\Sigma p$;q -unitary matrices are studied under equivalence transformations which keep the class invariant.
Classification : 15A21, 65F15
Keywords: structured eigenvalue problems, Lie group, Lie algebra, Jordan algebra AMS subject 
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     author = {Mehrmann, Volker and Xu, Hongguo},
     title = {Structured {Jordan} canonical forms for structured matrices that are {Hermitian,} skew {Hermitian} or unitary with respect to indefinite inner products},
     journal = {The electronic journal of linear algebra},
     pages = {67--103},
     publisher = {mathdoc},
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Mehrmann, Volker; Xu, Hongguo. Structured Jordan canonical forms for structured matrices that are Hermitian, skew Hermitian or unitary with respect to indefinite inner products. The electronic journal of linear algebra, Tome 5 (1999), pp. 67-103. http://geodesic.mathdoc.fr/item/ELA_1999__5__a1/