Daniel J. Bates

According to our database, Daniel J. Bates authored at least 29 papers between 2006 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2023

Numerical Nonlinear Algebra.

Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile

CoRR, 2023

2021

Excess intersections and numerical irreducible decompositions.

Daniel J. Bates, David Eklund, Jonathan D. Hauenstein, Chris Peterson

Proceedings of the 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2021

2020

Robustness and parameter geography in post-translational modification systems.

Kee-Myoung Nam, Benjamin M. Gyori, Silviana V. Amethyst, Daniel J. Bates, Jeremy Gunawardena

PLoS Comput. Biol., 2020

2018

Paramotopy: Parameter Homotopies in Parallel.

Daniel J. Bates, Danielle A. Brake, Matt Niemerg

Proceedings of the Mathematical Software - ICMS 2018, 2018

2017

Algorithm 976: Bertini_real: Numerical Decomposition of Real Algebraic Curves and Surfaces.

Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

ACM Trans. Math. Softw., 2017

Homotopies for Connected Components of Algebraic Sets with Application to Computing Critical Sets.

Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2017

2016

BertiniLab: A MATLAB interface for solving systems of polynomial equations.

Daniel J. Bates, Andrew J. Newell, Matthew E. Niemerg

Numer. Algorithms, 2016

Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials.

Daniel J. Bates, Jonathan D. Hauenstein, Matthew E. Niemerg, Frank Sottile

Numer. Algorithms, 2016

2015

The max-length-vector line of best fit to a set of vector subspaces and an optimization problem over a set of hyperellipsoids.

Daniel J. Bates, Brent R. Davis, Michael Kirby, Justin Marks, Chris Peterson

Numer. Linear Algebra Appl., 2015

Workspace Multiplicity and Fault Tolerance of Cooperating Robots.

Daniel A. Brake, Daniel J. Bates, Vakhtang Putkaradze, Anthony A. Maciejewski

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2015

2014

Using Monodromy to Avoid High Precision in Homotopy Continuation.

Daniel J. Bates, Matthew E. Niemerg

Math. Comput. Sci., 2014

Decoupling Highly Structured Polynomial Systems.

Daniel J. Bates, Andrew J. Newell, Matthew E. Niemerg

ACM Commun. Comput. Algebra, 2014

Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety.

Daniel J. Bates, Wolfram Decker, Jonathan D. Hauenstein, Chris Peterson, Gerhard Pfister, Frank-Olaf Schreyer, Andrew J. Sommese, Charles W. Wampler

Appl. Math. Comput., 2014

Perturbed homotopies for finding all isolated solutions of polynomial systems.

Daniel J. Bates, Brent R. Davis, David Eklund, Eric M. Hanson, Chris Peterson

Appl. Math. Comput., 2014

Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets.

Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

Proceedings of the Mathematical Software - ICMS 2014, 2014

On Computing a Cell Decomposition of a Real Surface Containing Infinitely Many Singularities.

Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

Proceedings of the Mathematical Software - ICMS 2014, 2014

2013

Computing intersection numbers of Chern classes.

Daniel J. Bates, David Eklund, Chris Peterson

J. Symb. Comput., 2013

Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry.

Daniel J. Bates, Jonathan D. Hauenstein, Timothy M. McCoy, Chris Peterson, Andrew J. Sommese

Exp. Math., 2013

Bertini for Macaulay2.

Daniel J. Bates, Elizabeth Gross, Anton Leykin, Jose Israel Rodriguez

CoRR, 2013

Numerically Solving Polynomial Systems with Bertini.

Daniel J. Bates, Andrew J. Sommese, Jonathan D. Hauenstein, Charles W. Wampler

Software, environments, tools 25, SIAM, ISBN: 978-1-611972-69-6, 2013

2011

Numerical Algebraic Geometry for Optimal Control Applications.

Philipp Rostalski, Ioannis A. Fotiou, Daniel J. Bates, A. Giovanni Beccuti, Manfred Morari

SIAM J. Optim., 2011

Efficient path tracking methods.

Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese

Numer. Algorithms, 2011

Khovanskii-Rolle Continuation for Real Solutions.

Daniel J. Bates, Frank Sottile

Found. Comput. Math., 2011

Toward a Salmon Conjecture.

Daniel J. Bates, Luke Oeding

Exp. Math., 2011

2009

A Numerical Local Dimension Test for Points on the Solution Set of a System of Polynomial Equations.

Daniel J. Bates, Jonathan D. Hauenstein, Chris Peterson, Andrew J. Sommese

SIAM J. Numer. Anal., 2009

2008

Adaptive Multiprecision Path Tracking.

Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

SIAM J. Numer. Anal., 2008

An optimal control application in power electronics using numerical algebraic geometry.

Daniel J. Bates, A. Giovanni Beccuti, Ioannis A. Fotiou, Manfred Morari

Proceedings of the American Control Conference, 2008

2007

A numerical algebraic geometry approach to nonlinear constrained optimal control.

Daniel J. Bates, Ioannis A. Fotiou, Philipp Rostalski

Proceedings of the 46th IEEE Conference on Decision and Control, 2007

2006

A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set.

Daniel J. Bates, Chris Peterson, Andrew J. Sommese

J. Complex., 2006