Limit Theorems for Spectra of Circulant Block Matrices with Large Random Blocks-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Limit Theorems for Spectra of Circulant Block Matrices with Large Random Blocks

Published:2024-07-22 Issue:14 Volume:12 Page:2291
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Tikhomirov Alexander¹^ORCID,Gulyaeva Sabina²,Timushev Dmitry¹^ORCID

Affiliation:

1. Institute of Physics and Mathematics, Komi SC UB RAS, Syktyvkar 167982, Russia

2. Institute of Exact Sciences and IT, Pitirim Sorokin Syktyvkar State University, Syktyvkar 167001, Russia

Abstract

This paper investigates the spectral properties of block circulant matrices with high-order symmetric (or Hermitian) blocks. We analyze cases with dependent or sparse independent entries within these blocks. Additionally, we analyze the distribution of singular values for the product of independent circulant matrices with non-Hermitian blocks.

Funder

Institute of Physics and Mathematics FRC Komi SC UB RAS

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/14/2291/pdf

Reference16 articles.

1. Block circulant matrices and the spectra of multivariate stationary sequences;Bolla;Spec. Matrices,2021

2. Graphs with circulant adjacency matrices;Elspas;J. Combin. Theory,1970

3. Forwarding and optical indices of 4-regular circulant networks;Gan;J. Discret. Algorithms,2015

4. Eigenvalues of Cayley Graphs;Liu;Electron. J. Comb,2022

5. Bianchi, T., and Magli, E. (2014, January 3–5). Analysis of the Security of Compressed Sensing with Circulant Matrices. Proceedings of the 2014 IEEE International Workshop on Information Forensics and Security, Atlanta, GA, USA.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP