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

IF 0.7 4区数学 Q3 MATHEMATICS, APPLIED Computational Mathematics and Mathematical Physics Pub Date : 2024-09-01 DOI:10.1134/s0965542524700635

V. N. Chugunov, Kh. D. Ikramov

引用次数: 0

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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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

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Mathematics and Mathematical Physics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

1.50

自引率

14.30%

发文量

125

审稿时长

4-8 weeks

期刊介绍： Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences. The journal includes reviews and original papers on computational mathematics, computational methods of mathematical physics, informatics, and other mathematical sciences. The journal welcomes reviews and original articles from all countries in the English or Russian language.