Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix-Reference-Cited by-同舟云学术

Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix

Published:2015 Issue: Volume:2015 Page:1-10
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Zheng Yanpeng¹,Shon Sugoog¹

Affiliation:

1. Department of Information and Telecommunications Engineering, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do 445-743, Republic of Korea

Abstract

The well known circulant matrices are applied to solve networked systems. In this paper, circulant and left circulant matrices with the Fermat and Mersenne numbers are considered. The nonsingularity of these special matrices is discussed. Meanwhile, the exact determinants and inverse matrices of these special matrices are presented.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2015/760823.pdf

Reference22 articles.

1. Storing cycles in Hopfield-type networks with pseudoinverse learning rule: Admissibility and network topology

2. Circulant and elliptic feedback delay networks for artificial reverberation

3. Distributed differential space-time coding for wireless relay networks

4. Characterization of quantum circulant networks having perfect state transfer

5. Joint CFO and Channel Estimation for OFDM-Based Two-Way Relay Networks

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. New sequences from the generalized Pell $ p- $numbers and mersenne numbers and their application in cryptography;AIMS Mathematics;2024

2. On the Properties of r-Circulant Matrices Involving Generalized Fermat Numbers;Sakarya University Journal of Science;2023-10-18

3. The r-circulant Matrices Associated with k-Fermat and k-Mersenne Numbers;WSEAS TRANSACTIONS ON MATHEMATICS;2023-07-24

4. Group structures of complex twistulant matrices;AIP Conference Proceedings;2016