Geodesic
$J$-spectral factorization for rational matrix functions with alternative realization
The electronic journal of linear algebra, Tome 10 (2003), pp. 240-256.

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

Summary: In this paper, recent results by Petersen and Ran on the J-spectral factorization problem to rational matrix functions with constant signature that are not necessarily analytic at infinity are extended. In particular, a full parametrization of all eJ-spectral factors that have the same pole pair as a given square J-spectral factor is given. In this case a special realization involving a quintet of matrices is used.
Classification : 47A68, 47A56, 47A62, 15A24
Keywords: J-spectral factorization, algebraic Riccati equations, spectral decomposition of pencils 
@article{ELA_2003__10__a5,
     author = {Groenewald, Gilbert J. and Petersen, Mark A.},
     title = {$J$-spectral factorization for rational matrix functions with alternative realization},
     journal = {The electronic journal of linear algebra},
     pages = {240--256},
     publisher = {mathdoc},
     volume = {10},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2003__10__a5/}
}
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Groenewald, Gilbert J.; Petersen, Mark A. $J$-spectral factorization for rational matrix functions with alternative realization. The electronic journal of linear algebra, Tome 10 (2003), pp. 240-256. http://geodesic.mathdoc.fr/item/ELA_2003__10__a5/