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On a Particular Solution of the σ-Commutation Problem () for Toeplitz and Hankel Matrices
- Authors: Chugunov V.N.1, Ikramov K.D.2
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Affiliations:
- Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences
- Moscow Lomonosov State University, Faculty of Computational Mathematics and Cybernetics
- Issue: Vol 63, No 11 (2023)
- Pages: 1817-1828
- Section: General numerical methods
- URL: https://rjonco.com/0044-4669/article/view/664945
- DOI: https://doi.org/10.31857/S0044466923110108
- EDN: https://elibrary.ru/AGKHZR
- ID: 664945
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Abstract
A unified approach is proposed to the construction of matrix pairs (T,H) that solve the ‑commutation problem for Toeplitz and Hankel matrices. For a certain particular case, a family of solutions is derived.
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About the authors
V. N. Chugunov
Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences
Email: chugunov.vadim@gmail.com
ul. Gubkina, 8, 119333, Moscow, Russia
Kh. D. Ikramov
Moscow Lomonosov State University, Faculty of Computational Mathematics and Cybernetics
Author for correspondence.
Email: ikramov@cs.msu.su
Lenin Hills, 119992, Moscow, Russia
References
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