On a Particular Solution of the σ-Commutation Problem () for Toeplitz and Hankel Matrices

A unified approach is proposed to the construction of matrix pairs 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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Bibliographic Details
Published in:	Computational mathematics and mathematical physics Vol. 63; no. 11; pp. 2038 - 2049
Main Authors:	Chugunov, V. N., Ikramov, Kh. D.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-11-2023 Springer Nature B.V
Subjects:	Commutation Computational Mathematics and Numerical Analysis General Numerical Methods Hankel matrices Mathematical analysis Mathematics Mathematics and Statistics Hankel matrix circulant Toeplitz matrix commutation
Online Access:	Get full text
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Description
Summary:	A unified approach is proposed to the construction of matrix pairs that solve the ‑commutation problem for Toeplitz and Hankel matrices. For a certain particular case, a family of solutions is derived.
ISSN:	0965-5425 1555-6662
DOI:	10.1134/S0965542523110076