On the parametrization of classes of conjugate-normal Toeplitz matrices
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 784-789
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The conjugate-normal Toeplitz problem is the one of characterizing matrices that are simultaneously Toeplitz and conjugate-normal. It is shown that the descriptions of all classes of conjugate-normal Toeplitz matrices can be regarded as constructive procedures. A parametrization is performed for each of the available classes; that is, a set of parameters is proposed whose values allow one to uniquely determine all the entries of a matrix belonging to this class.
@article{ZVMMF_2012_52_5_a2,
author = {V. N. Chugunov},
title = {On the parametrization of classes of conjugate-normal {Toeplitz} matrices},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {784--789},
publisher = {mathdoc},
volume = {52},
number = {5},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a2/}
}
TY - JOUR AU - V. N. Chugunov TI - On the parametrization of classes of conjugate-normal Toeplitz matrices JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2012 SP - 784 EP - 789 VL - 52 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a2/ LA - ru ID - ZVMMF_2012_52_5_a2 ER -
V. N. Chugunov. On the parametrization of classes of conjugate-normal Toeplitz matrices. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 784-789. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a2/