Daniel J. Bates

Publication Activity (10 Years)

Years Active: 2006-2023
Publications (10 Years): 11

Top Topics

Highly Structured

Polynomial Equations

Top Venues

Appl. Math. Comput.

Publications

Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile
Numerical Nonlinear Algebra. CoRR (2023)
Daniel J. Bates, David Eklund, Jonathan D. Hauenstein, Chris Peterson
Excess intersections and numerical irreducible decompositions. SYNASC (2021)
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)
Daniel J. Bates, Danielle A. Brake, Matt Niemerg
Paramotopy: Parameter Homotopies in Parallel. ICMS (2018)
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) (2017)
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)
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) (2016)
Daniel J. Bates, Andrew J. Newell, Matthew E. Niemerg
BertiniLab: A MATLAB interface for solving systems of polynomial equations. Numer. Algorithms 71 (1) (2016)
Daniel A. Brake, Daniel J. Bates, Vakhtang Putkaradze, Anthony A. Maciejewski
Workspace Multiplicity and Fault Tolerance of Cooperating Robots. MACIS (2015)
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 (2015)
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) (2015)
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 (2014)
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)
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)
Daniel J. Bates, Matthew E. Niemerg
Using Monodromy to Avoid High Precision in Homotopy Continuation. Math. Comput. Sci. 8 (2) (2014)
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 (2014)
Daniel J. Bates, Andrew J. Newell, Matthew E. Niemerg
Decoupling Highly Structured Polynomial Systems. ACM Commun. Comput. Algebra 48 (3/4) (2014)
Daniel J. Bates, David Eklund, Chris Peterson
Computing intersection numbers of Chern classes. J. Symb. Comput. 50 (2013)
Daniel J. Bates, Elizabeth Gross, Anton Leykin, Jose Israel Rodriguez
Bertini for Macaulay2. CoRR (2013)
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) (2013)
Daniel J. Bates, Frank Sottile
Khovanskii-Rolle Continuation for Real Solutions. Found. Comput. Math. 11 (5) (2011)
Daniel J. Bates, Luke Oeding
Toward a Salmon Conjecture. Exp. Math. 20 (3) (2011)
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) (2011)
Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese
Efficient path tracking methods. Numer. Algorithms 58 (4) (2011)
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) (2009)
Daniel J. Bates, A. Giovanni Beccuti, Ioannis A. Fotiou, Manfred Morari
An optimal control application in power electronics using numerical algebraic geometry. ACC (2008)
Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
Adaptive Multiprecision Path Tracking. SIAM J. Numer. Anal. 46 (2) (2008)
Daniel J. Bates, Ioannis A. Fotiou, Philipp Rostalski
A numerical algebraic geometry approach to nonlinear constrained optimal control. CDC (2007)
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) (2006)