Geodesic
Canonical forms for doubly structured matrices and pencils
The electronic journal of linear algebra, Tome 7 (2000), pp. 112-151.

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

Summary: In this paper, canonical forms under structure-preserving equivalence transformations are presented for matrices and matrix pencils that have a multiple structure, which is either an H-self-adjoint or H-skew-adjoint structure, where the matrix H is a complex nonsingular Hermitian or skew-Hermitian matrix. Matrices and pencils of such multiple structures arise, for example, in quantum chemistry in Hartree-Fock models or random phase approximation.
Classification : 15A21, 15A22, 15A57
Keywords: indefinite inner product, self-adjoint matrix, skew-adjoint matrix, matrix pencil, canonical form 
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     author = {Mehl, Christian and Mehrmann, Volker and Xu, Hongguo},
     title = {Canonical forms for doubly structured matrices and pencils},
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     pages = {112--151},
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     year = {2000},
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     url = {http://geodesic.mathdoc.fr/item/ELA_2000__7__a4/}
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Mehl, Christian; Mehrmann, Volker; Xu, Hongguo. Canonical forms for doubly structured matrices and pencils. The electronic journal of linear algebra, Tome 7 (2000), pp. 112-151. http://geodesic.mathdoc.fr/item/ELA_2000__7__a4/