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ORCIDDaniel J. Bates
Person information
- affiliation: US Naval Academy, Annapolis, MD, USA
- affiliation (former): Colorado State University, USA
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Books and Theses
- 2013
[b1]Daniel J. Bates, Andrew J. Sommese, Jonathan D. Hauenstein, Charles W. Wampler:
Numerically Solving Polynomial Systems with Bertini. Software, environments, tools 25, SIAM 2013, ISBN 978-1-611972-69-6, pp. I-XX, 1-352
Journal Articles
- 2020
- [j18]Kee-Myoung Nam
, Benjamin M. Gyori, Silviana V. Amethyst, Daniel J. Bates, Jeremy Gunawardena:
Robustness and parameter geography in post-translational modification systems. PLoS Comput. Biol. 16(5) (2020) - 2017
- [j17]Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler:
Algorithm 976: Bertini_real: Numerical Decomposition of Real Algebraic Curves and Surfaces. ACM Trans. Math. Softw. 44(1): 10:1-10:30 (2017) - 2016
- [j16]Daniel J. Bates, Andrew J. Newell, Matthew E. Niemerg:
BertiniLab: A MATLAB interface for solving systems of polynomial equations. Numer. Algorithms 71(1): 229-244 (2016) - [j15]Daniel J. Bates, Jonathan D. Hauenstein, Matthew E. Niemerg, Frank Sottile:
Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials. Numer. Algorithms 73(1): 281-304 (2016) - 2015
- [j14]Daniel J. Bates, Brent R. Davis, Michael Kirby, Justin Marks, Chris Peterson:
The max-length-vector line of best fit to a set of vector subspaces and an optimization problem over a set of hyperellipsoids. Numer. Linear Algebra Appl. 22(3): 453-464 (2015) - 2014
- [j13]Daniel J. Bates, Wolfram Decker, Jonathan D. Hauenstein, Chris Peterson, Gerhard Pfister, Frank-Olaf Schreyer, Andrew J. Sommese, Charles W. Wampler:
Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. Appl. Math. Comput. 231: 619-633 (2014) - [j12]Daniel J. Bates, Brent R. Davis, David Eklund, Eric M. Hanson, Chris Peterson:
Perturbed homotopies for finding all isolated solutions of polynomial systems. Appl. Math. Comput. 247: 301-311 (2014) - [j11]Daniel J. Bates, Andrew J. Newell, Matthew E. Niemerg:
Decoupling Highly Structured Polynomial Systems. ACM Commun. Comput. Algebra 48(3/4): 133 (2014) - [j10]Daniel J. Bates, Matthew E. Niemerg:
Using Monodromy to Avoid High Precision in Homotopy Continuation. Math. Comput. Sci. 8(2): 253-262 (2014) - 2013
- [j9]Daniel J. Bates, Jonathan D. Hauenstein, Timothy M. McCoy, Chris Peterson, Andrew J. Sommese:
Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry. Exp. Math. 22(1): 38-50 (2013) - [j8]Daniel J. Bates, David Eklund, Chris Peterson:
Computing intersection numbers of Chern classes. J. Symb. Comput. 50: 493-507 (2013) - 2011
- [j7]Daniel J. Bates, Luke Oeding:
Toward a Salmon Conjecture. Exp. Math. 20(3): 358-370 (2011) - [j6]Daniel J. Bates, Frank Sottile:
Khovanskii-Rolle Continuation for Real Solutions. Found. Comput. Math. 11(5): 563-587 (2011) - [j5]Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese:
Efficient path tracking methods. Numer. Algorithms 58(4): 451-459 (2011) - [j4]Philipp Rostalski, Ioannis A. Fotiou, Daniel J. Bates, A. Giovanni Beccuti, Manfred Morari:
Numerical Algebraic Geometry for Optimal Control Applications. SIAM J. Optim. 21(2): 417-437 (2011) - 2009
- [j3]Daniel J. Bates, Jonathan D. Hauenstein, Chris Peterson, Andrew J. Sommese:
A Numerical Local Dimension Test for Points on the Solution Set of a System of Polynomial Equations. SIAM J. Numer. Anal. 47(5): 3608-3623 (2009) - 2008
- [j2]Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler:
Adaptive Multiprecision Path Tracking. SIAM J. Numer. Anal. 46(2): 722-746 (2008) - 2006
- [j1]Daniel J. Bates, Chris Peterson, Andrew J. Sommese:
A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set. J. Complex. 22(4): 475-489 (2006)
Conference and Workshop Papers
- 2021
- [c8]Daniel J. Bates, David Eklund, Jonathan D. Hauenstein, Chris Peterson:
Excess intersections and numerical irreducible decompositions. SYNASC 2021: 52-60 - 2018
- [c7]Daniel J. Bates, Danielle A. Brake, Matt Niemerg:
Paramotopy: Parameter Homotopies in Parallel. ICMS 2018: 28-35 - 2017
- [c6]Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler:
Homotopies for Connected Components of Algebraic Sets with Application to Computing Critical Sets. MACIS 2017: 107-120 - 2015
- [c5]Daniel A. Brake, Daniel J. Bates, Vakhtang Putkaradze, Anthony A. Maciejewski:
Workspace Multiplicity and Fault Tolerance of Cooperating Robots. MACIS 2015: 109-123 - 2014
- [c4]Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler:
Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets. ICMS 2014: 175-182 - [c3]Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler:
On Computing a Cell Decomposition of a Real Surface Containing Infinitely Many Singularities. ICMS 2014: 246-252 - 2008
- [c2]Daniel J. Bates, A. Giovanni Beccuti, Ioannis A. Fotiou, Manfred Morari:
An optimal control application in power electronics using numerical algebraic geometry. ACC 2008: 2221-2226 - 2007
- [c1]Daniel J. Bates, Ioannis A. Fotiou, Philipp Rostalski:
A numerical algebraic geometry approach to nonlinear constrained optimal control. CDC 2007: 6256-6261
Informal and Other Publications
- 2023
- [i3]Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile:
Numerical Nonlinear Algebra. CoRR abs/2302.08585 (2023) - 2015
- [i2]Daniel J. Bates, Jonathan D. Hauenstein, Matthew E. Niemerg, Frank Sottile:
Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials. CoRR abs/1505.05241 (2015) - 2013
- [i1]Daniel J. Bates, Elizabeth Gross, Anton Leykin, Jose Israel Rodriguez:
Bertini for Macaulay2. CoRR abs/1310.3297 (2013)
Coauthor Index
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