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Infinite extensions of Toeplitz matrices

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A formula for the smallest of the ranks of infinite Toeplitz extensions of a finite rectangular Toeplitz matrix is derived. Bibliography: 3 titles.

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REFERENCES

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

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  2. I. S. Iokhvidov and O. D. Tolstykh, “On the (r, k, l) characteristics of rectangular Toeplitz matrices,” Ukr. Mat. Zh., 32, 477–482 (1980).

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  3. Yu. A. Al’pin and N. Z. Gabbasov, “Extension of generalized Hankel matrices,” Izv. Vyssh. Uchebn. Zaved., Matematika, No. 5, 35–39 (1981).

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Authors and Affiliations

  1. Kazan’ State University, Kazan’

    Yu. A. Al’pin & S. N. Il’in

Authors
  1. Yu. A. Al’pin
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  2. S. N. Il’in
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 296, 2003, pp. 5–14.

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Al’pin, Y.A., Il’in, S.N. Infinite extensions of Toeplitz matrices. J Math Sci 127, 1957–1961 (2005). https://doi.org/10.1007/s10958-005-0153-8

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  • DOI: https://doi.org/10.1007/s10958-005-0153-8

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