On Circulant Matrices

Irwin Kra, Santiago R. Simanca · Notices of the American Mathematical Society · 2012

Explore this paper's citation graph

Type: article
Published: 2012-03-01
Cited by: 1,240
References: 16
Access: Open access
DOI: https://doi.org/10.1090/noti804
OpenAlex: https://openalex.org/W1990545423
Semantic Scholar: https://api.semanticscholar.org/CorpusID:7201030

Keywords

Circulant matrix, Mathematics, Combinatorics

References

Theta Constants, Riemann Surfaces and the Modular GroupHershel M. Farkas, Irwin Kra — 2001
Sur les analogues algébriques des groupes semi-simples complexesJacques Tits — 1957
A Polynomial Approach to Linear AlgebraFuhrmann, Paul Abraham 1937- — 1996
An Elementary Calculation of the Dihedral Angle of the Regular n-SimplexHarold R. Parks, Dean C. Wills — 2002
On Circulant MatricesElif Kaya — 1970
Polynomial Equations and Circulant MatricesDan Kalman, James E. White — 2001
LINEAR SECTIONS OF DETERMINANTAL VARIETIESDavid Eisenbud — 1988
On Vanishing Sums of Roots of UnityT. Y. Lam, Ka Hin Leung — 1995
No free lunch theorems for optimizationDavid H. Wolpert, William G. Macready — 1997
Toeplitz And Circulant Matrices: A Review (Foundations and Trends(R) in Communications and Information Theory)Robert M. Gray — 2006
Toeplitz Forms And Their ApplicationsLeonard J. Savage, Ulf Grenander, Gábor Szegő — 1958
Toeplitz and Circulant Matrices: A ReviewRobert M. Gray — 2005
An Elementary Calculation of the Dihedral Angle of the Regular n-SimplexHarold R. Parks, Dean C. Wills — 2002
Toeplitz Forms and Their ApplicationsUlf Grenander, Gábor Szegő — 1958

Cited by

Hash Functions and Gröbner Bases CryptanalysisRune Steinsmo Ødegård — 2012
Pattern recognition with “materials that compute”Almudena Muyo — 2016
Geometry of Cubic PolynomialsSam Northshield — 2013
Hybrid Modeling of Plasma DischargesJ. Cambier — 2010
Limited-memory scaled gradient projection methods for real-time image deconvolution in microscopyFederica Porta, Riccardo Zanella, Gaetano Zanghirati — 2014
Energy landscapes, equilibrium and out of equilibrium physics of long and short range interacting systemsCesare Nardini — 2013
An Investigation of Markov Random Fields for Bayesian Reconstruction of Single Photon Emission Computed TomographyL.F. Arrowood — 2013
Exact Analysis of Synchronizability for Complex Networks using Regular GraphsSateeshkrishna Dhuli, Yatindra Nath Singh — 2014
Spectral analysis of coupled PDEs and of their Schur complements via the notion of generalized locally Toeplitz sequencesAli Dorostkar, Maya Neytcheva, Stefano Serra‐Capizzano — 2015
Direct Numerical Simulation of the turbulent flow around a NACA 0012 airfoil at different angles of attackAleix Baez Vidal, O. Lehmkuhl, I. Rodríguez — 2011
Equivalence Theorems and the Local-Global PropertyAleams Barra — 2012
Adjacency Algebra of Unitary Cayley GraphA. Satyanarayana Reddy — 2013
ON BLOCK MATRICES ASSOCIATED WITH DISCRETE TRIGONOMETRIC TRANSFORMS AND THEIR USE IN THE THEORY OF WAVE PROPAGATIONTsitsas, N-L — 2010
Cooperative Protocols In Dense Wireless Networks For Broadcast And ConsensusShrut Kirti — 2010
Simple eigenvalues of graphs and digraphsKrystal Guo — 2015
Group reconstruction systemsPatricia M. Morillas — 2011
ON THE GAPS IN THE SET OF EXPONENTS OF BOOLEAN PRIMITIVE CIRCULANT MATRICESMaribel Bueno, Susana Furtado — 2010
A Preconditioned GMRES Method for Solving a 1D Sideways Heat EquationZohreh Ranjbar, Lars Eldén — 2010
Extended Consensus AlgorithmsSebastian van de Hoef — 2013
Green operators of networks with a new vertexÁngeles Carmona Mejías, A.M. Encinas, Silvia Gago — 2015

Related papers

Circulant covers of trivalent circulantsPeter Couperus — 2007
Proper circulant weighing matrices of weight p^2Ka Hin Leung, Siu Lun — 2014
A fast algorithm for solving circulant tensor systemsZe-Jia Xie, Xiaoqing Jin, Yimin Wei — 2017
Stability analysis for circulant systems and switched circulant systemsLI Jian-hua, Shengzhi Zhao, Jun Zhao — 2004
General Terms of m-orders' Circulant MatricesRuihua Liu — 2004
On the properties and generalized inverse of (-1)-circulant matrixYan Lie-ya — 2009
Circulant Double Coverings of a Circulant Graph of Valency FiveRong, Quan Quan, Feng — 2007
The dynamics of circulant and near-circulant systemsT. P. Mitchell — 1978
Invertibility of circulant matrices of arbitrary sizeJeong-Ok Choi, Youngmi Hur — 2021