Daniel J. Bates

30 papers C 1Misc 1Journal 21Unranked 6
YearRankTypeTitle / Venue / Authors
2023 J jnl
Numerical Nonlinear Algebra.
CoRR
Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile
2021 Misc conf
Excess intersections and numerical irreducible decompositions.
SYNASC
Daniel J. Bates, David Eklund, Jonathan D. Hauenstein, Chris Peterson
2020 J jnl
Robustness and parameter geography in post-translational modification systems.
PLoS Comput. Biol.
Kee-Myoung Nam, Benjamin M. Gyori, Silviana V. Amethyst, Daniel J. Bates, Jeremy Gunawardena
2018 — conf
Paramotopy: Parameter Homotopies in Parallel.
ICMS
Daniel J. Bates, Danielle A. Brake, Matt Niemerg
2017 J jnl
Algorithm 976: Bertini_real: Numerical Decomposition of Real Algebraic Curves and Surfaces.
ACM Trans. Math. Softw.
Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
2017 — conf
Homotopies for Connected Components of Algebraic Sets with Application to Computing Critical Sets.
MACIS
Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
2016 J jnl
BertiniLab: A MATLAB interface for solving systems of polynomial equations.
Numer. Algorithms
Daniel J. Bates, Andrew J. Newell, Matthew E. Niemerg
2016 J jnl
Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials.
Numer. Algorithms
Daniel J. Bates, Jonathan D. Hauenstein, Matthew E. Niemerg, Frank Sottile
2015 J jnl
Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials.
CoRR
Daniel J. Bates, Jonathan D. Hauenstein, Matthew E. Niemerg, Frank Sottile
2015 J jnl
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.
Daniel J. Bates, Brent R. Davis, Michael Kirby, Justin Marks, Chris Peterson
2015 — conf
Workspace Multiplicity and Fault Tolerance of Cooperating Robots.
MACIS
Daniel A. Brake, Daniel J. Bates, Vakhtang Putkaradze, Anthony A. Maciejewski
2014 — conf
Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets.
ICMS
Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
2014 J jnl
Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety.
Appl. Math. Comput.
Daniel J. Bates, Wolfram Decker, Jonathan D. Hauenstein, Chris Peterson, Gerhard Pfister, Frank-Olaf Schreyer, Andrew J. Sommese, Charles W. Wampler
2014 J jnl
Decoupling Highly Structured Polynomial Systems.
ACM Commun. Comput. Algebra
Daniel J. Bates, Andrew J. Newell, Matthew E. Niemerg
2014 — conf
On Computing a Cell Decomposition of a Real Surface Containing Infinitely Many Singularities.
ICMS
Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
2014 J jnl
Perturbed homotopies for finding all isolated solutions of polynomial systems.
Appl. Math. Comput.
Daniel J. Bates, Brent R. Davis, David Eklund, Eric M. Hanson, Chris Peterson
2014 J jnl
Using Monodromy to Avoid High Precision in Homotopy Continuation.
Math. Comput. Sci.
Daniel J. Bates, Matthew E. Niemerg
2013 J jnl
Bertini for Macaulay2.
CoRR
Daniel J. Bates, Elizabeth Gross, Anton Leykin, Jose Israel Rodriguez
2013 J jnl
Computing intersection numbers of Chern classes.
J. Symb. Comput.
Daniel J. Bates, David Eklund, Chris Peterson
2013 — book
Numerically Solving Polynomial Systems with Bertini.
Daniel J. Bates, Andrew J. Sommese, Jonathan D. Hauenstein, Charles W. Wampler
2013 J jnl
Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry.
Exp. Math.
Daniel J. Bates, Jonathan D. Hauenstein, Timothy M. McCoy, Chris Peterson, Andrew J. Sommese
2011 J jnl
Efficient path tracking methods.
Numer. Algorithms
Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese
2011 J jnl
Khovanskii-Rolle Continuation for Real Solutions.
Found. Comput. Math.
Daniel J. Bates, Frank Sottile
2011 J jnl
Numerical Algebraic Geometry for Optimal Control Applications.
SIAM J. Optim.
Philipp Rostalski, Ioannis A. Fotiou, Daniel J. Bates, A. Giovanni Beccuti, Manfred Morari
2011 J jnl
Toward a Salmon Conjecture.
Exp. Math.
Daniel J. Bates, Luke Oeding
2009 J jnl
A Numerical Local Dimension Test for Points on the Solution Set of a System of Polynomial Equations.
SIAM J. Numer. Anal.
Daniel J. Bates, Jonathan D. Hauenstein, Chris Peterson, Andrew J. Sommese
2008 J jnl
Adaptive Multiprecision Path Tracking.
SIAM J. Numer. Anal.
Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
2008 C conf
An optimal control application in power electronics using numerical algebraic geometry.
ACC
Daniel J. Bates, A. Giovanni Beccuti, Ioannis A. Fotiou, Manfred Morari
2007 — conf
A numerical algebraic geometry approach to nonlinear constrained optimal control.
CDC
Daniel J. Bates, Ioannis A. Fotiou, Philipp Rostalski
2006 J jnl
A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set.
J. Complex.
Daniel J. Bates, Chris Peterson, Andrew J. Sommese