Geodesic
On particular solutions of the normal $T+H$-problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 4, pp. 612-617 Cet article a éte moissonné depuis la source Math-Net.Ru

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The normal Toeplitz-plus-Hankel problem is the problem of characterizing all the normal matrices that can be represented as sums of a Toeplitz and a Hankel matrix. Particular solutions of this problem are given for the case where both the Toeplitz and the Hankel summands are circulants or skew-circulants. 
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V. N. Chugunov. On particular solutions of the normal $T+H$-problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 4, pp. 612-617. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_4_a1/

[1] Ikramov Kh. D., “Ob opisanii normalnykh teplitsevykh matrits”, Zh. vychisl. matem. i matem. fiz., 34:3 (1994), 473–479 | MR | Zbl

[2] Ikramov Kh. D., “O klassifikatsii normalnykh teplitsevykh matrits s veschestvennymi elementami”, Matem. zametki, 57:5 (1995), 670–680 | MR | Zbl

[3] Ikramov Kh. D., Chugunov V. N., “Kriterii normalnosti kompleksnoi teplitsevoi matritsy”, Zh. vychisl. matem. i matem. fiz., 36:2 (1996), 3–10 | MR

[4] Gelfgat V. I., “Kriterii normalnosti teplitsevoi matritsy”, Zh. vychisl. matem. i matem. fiz., 35:9 (1995), 1428–1432 | MR

[5] Farenick D. R., Krupnik M., Krupnik N., Lee W. Y., “Normal Toeplitz matrices”, SIAM J. Matrix Anal. Appl., 17:4 (1996), 1037–1043 | DOI | MR | Zbl

[6] Ito K., “Every normal Toeplitz matrix is either of type I or of type II”, SIAM J. Matrix Anal. Appl., 17:4 (1996), 998–1006 | DOI | MR | Zbl

[7] Arimoto A., “A simple proff of the classification of normal Toeplitz matrices”, Electronic J. Linear Algebra, 9 (2002), 108–111 | MR | Zbl

[8] Gu G., Patton L., “Commutation relations for Toeplitz and Hankel matrices”, SIAM J. Matrix Anal. Appl., 24 (2003), 728–746 | DOI | MR | Zbl

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

[10] Ikramov Kh. D., Chugunov V. N., “O kososimmetrichnoi chasti proizvedeniya teplitsevykh matrits”, Matem. zametki, 63:1 (1987), 138–141 | MR

[11] 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

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

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

[14] Ikramov Kh. D., Chugunov V. N., “O klassifikatsii normalnykh gankelevykh matrits”, Dokl. RAN, 424:6 (2009), 736–740 | MR

[15] Chugunov V. N., Ikramov Kh. D., “A contribution to the normal Hankel problem”, Linear Algebra Appl., 430:8–9 (2009), 2094–2101 | DOI | MR | Zbl

[16] Ikramov Kh. D., Chugunov V. N., “O svedenii normalnoi gankelevoi zadachi k dvum chastnym sluchayam”, Matem. zametki, 85:5 (2009), 768–776 | MR

[17] Chugunov V. N., “O dvukh chastnykh sluchayakh resheniya normalnoi gankelevoi zadachi”, Zh. vychisl. matem. i matem. fiz., 49:6 (2009), 931–939 | MR | Zbl

[18] Voevodin V. V., Tyrtyshnikov E. E., Vychislitelnye protsessy s teplitsevymi matritsami, Nauka, M., 1980 | MR | Zbl