The r-circulant Matrices Associated with k-Fermat and k-Mersenne Numbers

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-07-24 DOI:10.37394/23206.2023.22.59

B. Kuloğlu, Engin Eser, Engin Özkan

引用次数: 0

Abstract

In this study, the main goal is to investigate the r-circulant matrices of k-Fermat and k-Mersenne numbers, then to find eigenvalues, determinants of these matrices, to evaluate their different norms (Spectral and Euclidean) and finally to find the right and skew-right circulant matrices.

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与k-Fermat和k-Mersenne数相关的r-循环矩阵

在这项研究中，主要目标是研究k-Fermat和k-Mersenne数的r-循环矩阵，然后找到这些矩阵的特征值、行列式，评估它们的不同范数（谱和欧几里得），最后找到右循环矩阵和斜右循环矩阵。

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

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.