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Infinite Limitedly-Toeplitz Extensions of Toeplitz Matrices

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Abstract

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 established. Bibliography: 2 titles.

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REFERENCES

  1. Yu. A. Al'pin and S. N. Il'in, “Infinite extensions of Toeplitz matrices,” Zap. Nauchn. Semin. POMI, 296, 5–14 (2003).

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  2. I. S. Iokhvidov, Hankel and Toeplitz Matrices and Forms [in Russian], Nauka, Moscow (1974).

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Authors and Affiliations

  1. Kazan' State University, Kazan', Russia

    S. N. Il'in

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  1. S. N. Il'in
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 309, 2004, pp. 30–39.

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Il'in, S.N. Infinite Limitedly-Toeplitz Extensions of Toeplitz Matrices. J Math Sci 132, 160–165 (2006). https://doi.org/10.1007/s10958-005-0486-3

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  • DOI: https://doi.org/10.1007/s10958-005-0486-3

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