Geodesic
Infinite extensions of Toeplitz matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVI, Tome 296 (2003), pp. 5-14
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A formula for the minimal rank of infinite Toeplitz extensions of a finite rectangular Toeplitz matrix is derived. 
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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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[2] I. S. Iokhvidov, O. D. Tolstykh, “Ob $(r,k,l)$-kharakteristikakh pryamougolnykh teplitsevykh matrits”, Ukr. mat. zhurnal, 32 (1980), 477–482 | MR | Zbl

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