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Daniel J. Bates
Daniel J. Bates
Adresse e-mail validée de usna.edu
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Bertini: Software for numerical algebraic geometry
DJ Bates, JD Hauenstein, AJ Sommese, CW Wampler
5512006
Numerically solving polynomial systems with Bertini
DJ Bates, AJ Sommese, JD Hauenstein, CW Wampler
Society for Industrial and Applied Mathematics, 2013
5022013
Adaptive multiprecision path tracking
DJ Bates, JD Hauenstein, AJ Sommese, CW Wampler
SIAM Journal on Numerical Analysis 46 (2), 722-746, 2008
1302008
A numerical local dimension test for points on the solution set of a system of polynomial equations
DJ Bates, JD Hauenstein, C Peterson, AJ Sommese
SIAM Journal on Numerical Analysis 47 (5), 3608-3623, 2009
632009
Finding all real points of a complex curve
Y Lu, DJ Bates, AJ Sommese, CW Wampler
Contemporary Mathematics 448, 183, 2007
582007
Stepsize control for path tracking
DJ Bates, JD Hauenstein, AJ Sommese, CW Wampler II
Contemporary Mathematics 496, 21, 2009
552009
Efficient path tracking methods
DJ Bates, JD Hauenstein, AJ Sommese
Numerical Algorithms 58 (4), 451-459, 2011
492011
Toward a salmon conjecture
DJ Bates, L Oeding
Experimental Mathematics 20 (3), 358-370, 2011
472011
A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set
D Bates, C Peterson, AJ Sommese
Journal of Complexity 22 (4), 475-489, 2006
412006
Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials
DJ Bates, JD Hauenstein, C Peterson, AJ Sommese
Approximate Commutative Algebra, 55-77, 2009
392009
Khovanskii–Rolle continuation for real solutions
DJ Bates, F Sottile
Foundations of Computational Mathematics 11, 563-587, 2011
362011
Numerical algebraic geometry for model selection and its application to the life sciences
E Gross, B Davis, KL Ho, DJ Bates, HA Harrington
Journal of The Royal Society Interface 13 (123), 20160256, 2016
332016
Paramotopy: Parameter Homotopies in Parallel
D Bates, D Brake, M Niemerg
Mathematical Software–ICMS 2018: 6th International Conference, South Bend …, 2018
322018
Bertini: Software for numerical algebraic geometry, 2006
DJ Bates, JD Hauenstein, AJ Sommese, CW Wampler
Software available at http://bertini. nd. edu, 0
32
Robustness and parameter geography in post-translational modification systems
KM Nam, BM Gyori, SV Amethyst, DJ Bates, J Gunawardena
PLoS computational biology 16 (5), e1007573, 2020
292020
Recovering exact results from inexact numerical data in algebraic geometry
DJ Bates, JD Hauenstein, TM McCoy, C Peterson, AJ Sommese
Experimental Mathematics 22 (1), 38-50, 2013
282013
Bounds on the number of real solutions to polynomial equations
DJ Bates, F Bihan, F Sottile
International Mathematics Research Notices 2007 (9), rnm114-rnm114, 2007
262007
Bertini for Macaulay2
DJ Bates, E Gross, A Leykin, JI Rodriguez
arXiv preprint arXiv:1310.3297, 2013
242013
Numerical algebraic geometry for optimal control applications
P Rostalski, IA Fotiou, DJ Bates, AG Beccuti, M Morari
SIAM Journal on Optimization 21 (2), 417-437, 2011
232011
BertiniLab: A MATLAB interface for solving systems of polynomial equations
DJ Bates, AJ Newell, M Niemerg
Numerical Algorithms 71, 229-244, 2016
222016
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