About FGb: How to cite / Publications

Citing FGb

If you use FGb in a paper, we recommend you use the following bibtex entry for citing FGb:

@inproceedings{FGb,
author = {Faugère, Jean-Charles},
title = {{FGb: A Library for Computing Gröbner Bases}},
booktitle = {{Mathematical Software - ICMS 2010}},
series = {Lecture Notes in Computer Science},
editor = {Fukuda, Komei and Hoeven, Joris and Joswig, Michael 
          and Takayama, Nobuki}, 
publisher = {Springer Berlin / Heidelberg},
year = {2010},                    
pages = {84--87},                    
volume = {6327},
doi = {10.1007/978-3-642-15582-6_17},
address = {Berlin, Heidelberg},                    
location = {Kobe, Japan},                   
 month = {September}}

J.-C. Faugère.  FGb: A Library for Computing Gröbner Bases.               
In Komei Fukuda, Joris Hoeven, Michael Joswig, and Nobuki Takayama,               
editors, Mathematical Software  ICMS 2010, 
volume 6327 of  Lecture Notes in Computer Science, 
pages 84-87, Berlin, Heidelberg,               
September 2010. Springer Berlin / Heidelberg.
[  |  ] 

Some papers outside the crypto world that refer to FGb

Many of the citations to papers below were obtained using Scholar Google

• The “Seven Dwarfs” of Symbolic Computation
  EL Kaltofen - 2010 - books.google.com
• Gröbner bases and wavelet design
  J Lebrun, I Selesnick - Journal of Symbolic Computation, 2004 - Elsevier
• Solving Kaltofen's challenge on Zolotarev's approximation problem
  D Lazard - Proceedings of the 2006 international symposium on …, 2006 - dl.acm.org
• Exact solutions in structured low-rank approximation
  G Ottaviani, PJ Spaenlehauer, B Sturmfels - SIAM Journal on Matrix Analysis …, 2014 - SIAM
• An evaluation of symbolic computation algorithms for the extraction of small signal parameters of a linear circuit
  CF Zorio, I Rusu, M Bodea - Symbolic and Numerical Methods, …, 2010 - ieeexplore.ieee.org
• Synthesis of the forward kinematics problem algebraic modeling for the general parallel manipulator: displacement-based equations
  L Rolland - Advanced Robotics, 2007 - Taylor & Francis
  
• Mutually unbiased bases and semi-definite programming
  S Brierley, S Weigert - Journal of Physics: Conference Series, 2010 - iopscience.iop.org
• High-order balanced multiwavelets: theory, factorization, and design
  J Lebrun, M Vetterli - Signal Processing, IEEE Transactions on, 2001 - ieeexplore.ieee.org
• SOLVING ORDINARY DIFFERENTIAL EQUATIONS WITH CK SPLINE FUNCTIONS AND GROBNËR BASES TECHNIQUES
  Z Lakhdari, JM Dequen, M Rouff - actapress.com
• The Voronoi diagram of three lines in IR3
  H Everett, D Lazard, S Lazard, MS El Din - www-salsa.lip6.fr
• Computer Algebra and C k Spline Functions: A Combined Tools toSolve Nonlinear Differential Problems
  Z Lakhdari, P Makany, M Rouff - Emergent Properties in Natural and …, 2006 - Springer
• Irreducible decomposition of curves
  A Galligo, D Rupprecht - Journal of Symbolic Computation, 2002 - Elsevier
  In this paper, we propose a fast semi-numerical algorithm for computing all irreducible
• Integrability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities
  B Fer?ec, J Giné, Y Liu, VG Romanovski - Acta applicandae mathematicae, 2013 - Springer
• The center problem for a 1:− 4 resonant quadratic system
  B Fer?ec, J Giné, M Mencinger, R Oliveira - Journal of Mathematical …, 2014 - Elsevier
• Representing and solving finite-domain constraint problems using systems of polynomials
  C Jefferson, P Jeavons, MJ Green… - Annals of Mathematics …, 2013 - Springer
• All complex equiangular tight frames in dimension 3
  F Szöll?si - arXiv preprint arXiv:1402.6429, 2014 - arxiv.org
• Degeneracy loci and polynomial equation solving
  B Bank, M Giusti, J Heintz, G Lecerf, G Matera… - Foundations of …, 2013 - Springer
• Using discriminant curves to recover a surface of P 4 from two generic linear projections
  JY Kaminski, Y Sepulcre - … of the 36th international symposium on …, 2011 - dl.acm.org
• Fundamental mathematical concepts for problems arising in robotics
  B Ponleitner - 2013 - othes.univie.ac.at
• Mobile 4R and 5R loops
  D Lazard - hal.inria.fr
• Automated Deduction in Geometry: 7th International Workshop, ADG 2008, Shanghai, China, September 22-24, 2008, Revised Papers
  T Sturm, C Zengler - 2011 - books.google.com
• Automated Deduction in Geometry
  TSC Zengler - Springer
• Amplitude Independent Frequency Synchroniser for a Cubic Planar Polynomial System
  I Boussaada - Journal of Computational and …, 2012 - … .asmedigitalcollection.asme.org
• A Groebner bases-based approach to backward reasoning in rule based expert systems
  E Roanes-Lozano, A Hernando, LM Laita… - Annals of Mathematics …, 2009 - Springer
• Algebraic analysis of bifurcation and limit cycles for biological systems
  W Niu, D Wang - 2008 - Springer
• Some Applications of Commutative and Non-Commutative Gröbner Bases
  NCG Bases - informatik.uni-leipzig.de
• Central configurations of the 5-body problem with equal masses in three-space
  I Kotsireas, D Lazard - Journal of Mathematical Sciences, 2002 - Springer
• Central Configurations in the Newtonian
  IS Kotsireas - … : Solving Equations in Algebra, Geometry, and …, 2001 - books.google.com
• Parametrized family of 2-D non-factorable FIR lossless systems and Gröbner bases
  H Park - Multidimensional Systems and Signal Processing, 2001 - Springer
• On the Complexity of Computing Critical Points with Gröbner Bases
  PJ Spaenlehauer - SIAM Journal on Optimization, 2014 - SIAM
• All complex equiangular tight frames in dimension 3
  F Szöll?si - arXiv preprint arXiv:1402.6429, 2014 - arxiv.org
• Exact solutions in structured low-rank approximation
  G Ottaviani, PJ Spaenlehauer, B Sturmfels - SIAM Journal on Matrix Analysis …, 2014 - SIAM
• Towards an algorithmisation of the Dirac constraint formalism
  V Gerdt, A Khvedelidze, Y Palii - arXiv preprint math-ph/0611021, 2006 - arxiv.org
• Isochronous centers of a cubic planar polynomial sys-tem via computational approach
  I Boussaada - lmrs.univ-rouen.fr
• Solutions of polynomial systems derived from the steady cavity flow problem
  M Mevissen, K Yokoyama, N Takayama - Proceedings of the 2009 …, 2009 - dl.acm.org
• 1:− 3 resonant centers on C2 with homogeneous cubic nonlinearities
  Z Hu, VG Romanovski, DS Shafer - Computers & Mathematics with …, 2008 - Elsevier