Generalized Circulant Matrices

Abstract

first_page settings Order Article Reprints Font Type: Arial Georgia Verdana Font Size: Aa Aa Aa Line Spacing:    Column Width:    Background: Open AccessAbstract Generalized Circulant Matrices † by Horia I. Petrache Department of Physics, Indiana University Purdue University Indianapolis, Indianapolis, IN 46202, USA † Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017. Proceedings 2018, 2(1), 19; https://doi.org/10.3390/proceedings2010019 Published: 3 January 2018 (This article belongs to the Proceedings of The First International Conference on Symmetry) Download Download PDF Download PDF with Cover Download XML Versions Notes Circulant matrices have applications in signal processing, numerical calculations of Fourier transforms, as well as encryption methods. By using a coset group construction of algebras [1], we find a class of generalized circulant matrices with interesting and possibly useful properties for numerical analysis that can expand the use of simple circulants. We show the construction of generalized circulants and discuss their properties and possible applications. ReferencePetrache, H.I. Coset group construction of multidimensional number systems. Symmetry 2014, 6, 578–588. [Google Scholar] [CrossRef]Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. © 2018 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Share and Cite MDPI and ACS Style Petrache, H.I. Generalized Circulant Matrices. Proceedings 2018, 2, 19. https://doi.org/10.3390/proceedings2010019 AMA Style Petrache HI. Generalized Circulant Matrices. Proceedings. 2018; 2(1):19. https://doi.org/10.3390/proceedings2010019 Chicago/Turabian Style Petrache, Horia I. 2018. "Generalized Circulant Matrices" Proceedings 2, no. 1: 19. https://doi.org/10.3390/proceedings2010019 Find Other Styles Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here. Article Metrics No No Article Access Statistics Multiple requests from the same IP address are counted as one view.