Geodesic
Infinite limitedly-Toeplitz extensions of Toeplitz matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 30-39 
S. N. Il'in. Infinite limitedly-Toeplitz extensions of Toeplitz matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 30-39. http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a3/
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     author = {S. N. Il'in},
     title = {Infinite {limitedly-Toeplitz} extensions of {Toeplitz} matrices},
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     year = {2004},
     volume = {309},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a3/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Infinite limitedly Toeplitz extensions of a finite rectangular Toeplitz matrix are considered. Conditions necessary and sufficient for such an extension of smallest rank to be unique are given.

[1] Yu. A. Alpin, S. N. Ilin, “Beskonechnye prodolzheniya teplitsevykh matrits”, Zap. nauchn. semin. POMI, 296, 2003, 5–14 | MR

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