Generalized Circulant Matrices †
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)
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.
Reference
- Petrache, 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 StylePetrache, Horia I. 2018. "Generalized Circulant Matrices" Proceedings 2, no. 1: 19. https://doi.org/10.3390/proceedings2010019
APA StylePetrache, H. I. (2018). Generalized Circulant Matrices. Proceedings, 2(1), 19. https://doi.org/10.3390/proceedings2010019
