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On Pairs of Symmetric Toeplitz Matrices Whose Squares Are Identical

  • GENERAL NUMERICAL METHODS
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Abstract

A full description is given of pairs of symmetric Toeplitz matrices whose squares are identical.

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REFERENCES

  1. V. V. Voevodin and E. E. Tyrtyshnikov, Computational Processes with Toeplitz Matrices (Nauka, Moscow, 1987) [in Russian].

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  2. V. N. Chugunov, Normal and Commuting Toeplitz and Hankel Matrices (Nauka, Moscow, 2017) [in Russian].

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  3. N. V. Efimov and E. R. Rozendorn, Linear Algebra and Multi-Dimensional Geometry (Nauka, Moscow, 1975; Mir, Moscow, 1975).

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Funding

This work was supported by the Moscow Center of Fundamental and Applied Mathematics (agreement no. 075-15-2019-1624 with the Ministry of Education and Science of the Russian Federation).

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Authors and Affiliations

  1. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia

    V. N. Chugunov

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  1. V. N. Chugunov
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Correspondence to V. N. Chugunov.

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Translated by S. Ikramov

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Chugunov, V.N. On Pairs of Symmetric Toeplitz Matrices Whose Squares Are Identical. Comput. Math. and Math. Phys. 62, 733–743 (2022). https://doi.org/10.1134/S0965542522050037

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  • DOI: https://doi.org/10.1134/S0965542522050037

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