Infinite limitedly-Toeplitz extensions of Toeplitz matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 30-39 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
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     title = {Infinite {limitedly-Toeplitz} extensions of {Toeplitz} matrices},
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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/

[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