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Daniel J. Bates
Daniel J. Bates
Verified email at usna.edu
Title
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Cited by
Year
Bertini: Software for numerical algebraic geometry
DJ Bates, JD Hauenstein, AJ Sommese, CW Wampler
5062006
Numerically solving polynomial systems with Bertini
DJ Bates, AJ Sommese, JD Hauenstein, CW Wampler
Society for Industrial and Applied Mathematics, 2013
4392013
Adaptive multiprecision path tracking
DJ Bates, JD Hauenstein, AJ Sommese, CW Wampler
SIAM Journal on Numerical Analysis 46 (2), 722-746, 2008
1202008
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
582009
Finding all real points of a complex curve
Y Lu, DJ Bates, AJ Sommese, CW Wampler
Contemporary Mathematics 448, 183, 2007
562007
Stepsize control for path tracking
DJ Bates, JD Hauenstein, AJ Sommese, CW Wampler II
Contemporary Mathematics 496, 21, 2009
522009
Efficient path tracking methods
DJ Bates, JD Hauenstein, AJ Sommese
Numerical Algorithms 58 (4), 451-459, 2011
462011
Toward a salmon conjecture
DJ Bates, L Oeding
Experimental Mathematics 20 (3), 358-370, 2011
452011
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
402006
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
372009
Khovanskii–Rolle continuation for real solutions
DJ Bates, F Sottile
Foundations of Computational Mathematics 11, 563-587, 2011
352011
Bertini: Software for numerical algebraic geometry, 2006
DJ Bates, JD Hauenstein, AJ Sommese, CW Wampler
Software available at http://bertini. nd. edu, 0
30
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
292016
Paramotopy: Parameter Homotopies in Parallel
D Bates, D Brake, M Niemerg
Mathematical Software–ICMS 2018: 6th International Conference, South Bend …, 2018
272018
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
272013
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
242007
Bertini for Macaulay2
DJ Bates, E Gross, A Leykin, JI Rodriguez
arXiv preprint arXiv:1310.3297, 2013
222013
BertiniLab: A MATLAB interface for solving systems of polynomial equations
DJ Bates, AJ Newell, M Niemerg
Numerical Algorithms 71, 229-244, 2016
212016
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
202011
Numerical computation of the genus of an irreducible curve within an algebraic set
DJ Bates, C Peterson, AJ Sommese, CW Wampler
Journal of Pure and Applied Algebra 215 (8), 1844-1851, 2011
192011
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