On the computation of the null space of Toeplitz-like matrices
Electronic transactions on numerical analysis, Tome 33 (2009)
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
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},
year = {2009},
volume = {33},
zbl = {1188.65026},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2009__33__a3/}
}
TY - JOUR AU - Mastronardi, Nicola AU - Van Barel, Marc AU - Vandebril, Raf TI - On the computation of the null space of Toeplitz-like matrices JO - Electronic transactions on numerical analysis PY - 2009 VL - 33 UR - http://geodesic.mathdoc.fr/item/ETNA_2009__33__a3/ LA - en ID - ETNA_2009__33__a3 ER -
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/