Geodesic
Infinite extensions of Toeplitz matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVI, Tome 296 (2003), pp. 5-14 
Yu. A. Alpin; S. N. Il'in. Infinite extensions of Toeplitz matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVI, Tome 296 (2003), pp. 5-14. http://geodesic.mathdoc.fr/item/ZNSL_2003_296_a0/
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     title = {Infinite extensions of {Toeplitz} matrices},
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     year = {2003},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_296_a0/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

A formula for the minimal rank of infinite Toeplitz extensions of a finite rectangular Toeplitz matrix is derived.

[1] I. S. Iokhvidov, Gankelevy i teplitsevy matritsy i formy, Nauka, M., 1974 | MR | Zbl

[2] I. S. Iokhvidov, O. D. Tolstykh, “Ob $(r,k,l)$-kharakteristikakh pryamougolnykh teplitsevykh matrits”, Ukr. mat. zhurnal, 32 (1980), 477–482 | MR | Zbl

[3] Yu. A. Alpin, N. Z. Gabbasov, “Prodolzhenie obobschennykh gankelevykh matrits”, Izv. vuzov, Matematika, 1981, no. 5, 35–39 | MR | Zbl