On the computation of the null space of Toeplitz-like matrices
Electronic transactions on numerical analysis, Tome 33 (2009).

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

Summary: For many applications arising in system theory, it is important to know the structure and the dimension of the null spaces of certain structured matrices, such as Hankel and Toeplitz matrices. In this paper, we describe an algorithm based on the generalized Schur algorithm that computes the kernel of Toeplitz and Hankel matrices.
Classification : 15A15, 15A09, 15A23
Keywords: null space, Toeplitz matrix, Hankel matrix, generalized Schur algorithm
@article{ETNA_2009__33__a3,
     author = {Mastronardi, Nicola and Van Barel, Marc and Vandebril, Raf},
     title = {On the computation of the null space of {Toeplitz-like} matrices},
     journal = {Electronic transactions on numerical analysis},
     publisher = {mathdoc},
     volume = {33},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2009__33__a3/}
}
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Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf. On the computation of the null space of Toeplitz-like matrices. Electronic transactions on numerical analysis, Tome 33 (2009). http://geodesic.mathdoc.fr/item/ETNA_2009__33__a3/