On a Particular Solution of the σ-Commutation Problem ( $$\sigma \ne 0, \pm 1$$ ) for Toeplitz and Hankel Matrices

IF 0.7 4区数学 Q3 MATHEMATICS, APPLIED

Computational Mathematics and Mathematical Physics Pub Date : 2023-12-25 DOI:10.1134/s0965542523110076

V. N. Chugunov, Kh. D. Ikramov

引用次数: 0

Abstract

A unified approach is proposed to the construction of matrix pairs $(T,H)$ that solve the $\sigma $‑commutation problem for Toeplitz and Hankel matrices. For a certain particular case, a family of solutions is derived.

查看原文本刊更多论文

关于托普利兹矩阵和汉克尔矩阵的 σ-Commutation 问题 ( $$\sigma \ne 0, \pm 1$$ ) 的特殊解法

提出了一种统一的方法来构造矩阵对 $(T,H)$ ，以解决托普利兹矩阵和汉克尔矩阵的 $\sigma$-commutation 问题。针对某种特殊情况，得出了一系列解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.