On two particular cases of solving the normal Hankel problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 6, pp. 931-939 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The normal Hankel problem is one of characterizing all the complex matrices that are normal and Hankel at the same time. The matrix classes that can contain normal Hankel matrices admit a parameterization by real $2\times2$ matrices with determinant one. Here, the normal Hankel problem is solved in the case where the characteristic matrix of a given class is an order two Jordan block for the eigenvalue 1 or -1.
@article{ZVMMF_2009_49_6_a0,
     author = {V. N. Chugunov},
     title = {On two particular cases of solving the normal {Hankel} problem},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {931--939},
     year = {2009},
     volume = {49},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_6_a0/}
}
TY  - JOUR
AU  - V. N. Chugunov
TI  - On two particular cases of solving the normal Hankel problem
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2009
SP  - 931
EP  - 939
VL  - 49
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_6_a0/
LA  - ru
ID  - ZVMMF_2009_49_6_a0
ER  - 
%0 Journal Article
%A V. N. Chugunov
%T On two particular cases of solving the normal Hankel problem
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2009
%P 931-939
%V 49
%N 6
%U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_6_a0/
%G ru
%F ZVMMF_2009_49_6_a0
V. N. Chugunov. On two particular cases of solving the normal Hankel problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 6, pp. 931-939. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_6_a0/

[1] Ikramov Kh. D., “K voprosu ob opisanii normalnykh gankelevykh matrits”, Fundamentalnaya i prikl. matem., 3:3 (1997), 809–819 | MR | Zbl

[2] Ikramov Kh. D., Chugunov V. N., “Ob odnom novom klasse normalnykh gankelevykh matrits”, Vestn. MGU. Ser. 15. Vychisl. matem. i kibernetika, 2007, no. 1, 10–13 | MR

[3] Ikramov Kh. D., Chugunov V. N., “O normalnykh gankelevykh matritsakh”, Zapiski nauchn. seminarov POMI, 346, 2007, 63–80 | MR

[4] Ikramov Kh. D., Chugunov V. N., “O normalnykh gankelevykh matritsakh malykh poryadkov”, Matem. zametki, 84:2 (2008), 207–218 | MR

[5] Ikramov Kh. D., Chugunov V. N., “O svedenii normalnoi gankelevoi zadachi k dvum chastnym sluchayam”, Matem. zametki, 85:5 (2009), 702–710 | MR | Zbl