统一方法中托普利兹矩阵和汉克尔矩阵的 σ-Commutation 问题 ( $$sigma \ne 0,\; \pm 1$$ ) 的新解类

Pub Date : 2024-09-01 DOI:10.1134/s0965542524700635

V. N. Chugunov, Kh. D. Ikramov

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引用次数: 0

摘要

摘要在这些作者的早期出版物中，提出了一种统一的方法来构造矩阵对 $(T,H)$，以解决托普利兹和汉克尔矩阵的 $\sigma$-换算问题。在这里，这种方法被用于推导新的解类。

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New Classes of Solutions of the σ-Commutation Problem ( $$\sigma \ne 0,\; \pm 1$$ ) for Toeplitz and Hankel Matrices within a Unified Approach

Abstract

In an earlier publication of these authors, a unified approach was proposed to the construction of matrix pairs $(T,H)$ that solve the $\sigma $-commutation problem for Toeplitz and Hankel matrices. Here, this approach is applied for deriving new classes of solutions.

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