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Deriving Known Particular Solutions of the σ-Commutation Problem (σ ≠ 0, ±1) for a Toeplitz and a Hankel Matrix within a Unified Approach

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In their preceding publication, the authors proposed a unified approach to the construction of matrix pairs \((T,H)\) that solve the \(\sigma \)-commutation problem for Toeplitz and Hankel matrices. Here, this approach is applied to the derivation of two classes of solutions that were earlier found by V.N. Chugunov from entirely different considerations.

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REFERENCES

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Funding

V.N. Chugunov was supported by the Moscow Center for Fundamental and Applied Mathematics at the Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences (agreement with the Ministry of Education and Science of the Russian Federation no. 075-15-2022-286).

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Authors and Affiliations

  1. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333, Moscow, Russia

    V. N. Chugunov

  2. Moscow Lomonosov State University, Faculty of Computational Mathematics and Cybernetics, 119992, Moscow, Russia

    Kh. D. Ikramov

Authors
  1. V. N. Chugunov
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  2. Kh. D. Ikramov
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Corresponding authors

Correspondence to V. N. Chugunov or Kh. D. Ikramov.

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The authors of this work declare that they have no conflicts of interest.

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Translated by Kh. Ikramov

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Chugunov, V.N., Ikramov, K.D. Deriving Known Particular Solutions of the σ-Commutation Problem (σ ≠ 0, ±1) for a Toeplitz and a Hankel Matrix within a Unified Approach. Comput. Math. and Math. Phys. 64, 36–44 (2024). https://doi.org/10.1134/S096554252401007X

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  • DOI: https://doi.org/10.1134/S096554252401007X

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