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Author ID: bates.daniel-j Recent zbMATH articles by "Bates, Daniel J."
Published as: Bates, Daniel J.; Bates, D. J.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 343 times in 200 Documents Cited by Year
Numerically solving polynomial systems with Bertini. Zbl 1295.65057
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
77
2013
Software for numerical algebraic geometry: a paradigm and progress towards its implementation. Zbl 1143.65344
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II
49
2008
Adaptive multiprecision path tracking. Zbl 1162.65026
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler II, Charles W.
38
2008
A numerical local dimension test for points on the solution set of a system of polynomial equations. Zbl 1211.14066
Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J.
21
2009
Stepsize control for path tracking. Zbl 1181.65071
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II
20
2009
Efficient path tracking methods. Zbl 1230.65059
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
18
2011
Toward a salmon conjecture. Zbl 1262.14056
Bates, Daniel J.; Oeding, Luke
16
2011
Bertini_real: software for one- and two-dimensional real algebraic sets. Zbl 1437.14005
Brake, Daniel A.; Bates, Daniel J.; Hao, Wenrui; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
13
2014
Finding all real points of a complex curve. Zbl 1136.65050
Lu, Ye; Bates, Daniel J.; Sommese, Andrew J.; Wampler, Charles W.
13
2007
Solution of polynomial systems derived from differential equations. Zbl 1086.65075
Allgower, E. L.; Bates, D. J.; Sommese, A. J.; Wampler, C. W.
11
2006
Recovering exact results from inexact numerical data in algebraic geometry. Zbl 1284.14084
Bates, Daniel J.; Hauenstein, Jonathan D.; McCoy, Timothy M.; Peterson, Chris; Sommese, Andrew J.
10
2013
Khovanskii-Rolle continuation for real solutions. Zbl 1231.14047
Bates, Daniel J.; Sottile, Frank
8
2011
Bounds on the number of real solutions to polynomial equations. Zbl 1129.14077
Bates, Daniel J.; Bihan, Frédéric; Sottile, Frank
8
2007
Numerical computation of the genus of an irreducible curve within an algebraic set. Zbl 1211.14062
Bates, Daniel J.; Peterson, Chris; Sommese, Andrew J.; Wampler, Charles W.
6
2011
Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials. Zbl 1191.14071
Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J.
5
2009
Algorithm 976: Bertini_real: numerical decomposition of real algebraic curves and surfaces. Zbl 1484.14109
Brake, Daniel A.; Bates, Daniel J.; Hao, Wenrui; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
5
2017
Numerical algebraic geometry for optimal control applications. Zbl 1228.49018
Rostalski, Philipp; Fotiou, Ioannis A.; Bates, Daniel J.; Beccuti, A. Giovanni; Morari, Manfred
4
2011
A parallel endgame. Zbl 1238.14007
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
4
2011
Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. Zbl 1410.65205
Bates, Daniel J.; Decker, Wolfram; Hauenstein, Jonathan D.; Peterson, Chris; Pfister, Gerhard; Schreyer, Frank-Olaf; Sommese, Andrew J.; Wampler, Charles W.
4
2014
Computing intersection numbers of Chern classes. Zbl 1263.14005
Bates, Daniel J.; Eklund, David; Peterson, Chris
3
2013
Perturbed homotopies for finding all isolated solutions of polynomial systems. Zbl 1338.13046
Bates, Daniel J.; Davis, Brent; Eklund, David; Hanson, Eric; Peterson, Chris
3
2014
BertiniLab: a MATLAB interface for solving systems of polynomial equations. Zbl 1333.65054
Bates, Daniel J.; Newell, Andrew J.; Niemerg, Matthew
2
2016
On computing a cell decomposition of a real surface containing infinitely many singularities. Zbl 1437.14061
Bates, Daniel J.; Brake, Daniel A.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
2
2014
Decoupling highly structured polynomial systems. Zbl 1360.13064
Bates, Daniel J.; Newell, Andrew J.; Niemerg, Matthew E.
1
2017
Interactions of classical and numerical algebraic geometry. A conference in honor of Andrew Sommese, Notre Dame, IN, USA, May 22–24, 2008. Zbl 1175.14001
1
2009
Homotopies for connected components of algebraic sets with application to computing critical sets. Zbl 07036046
Bates, Daniel J.; Brake, Dani A.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
1
2017
Algorithm 976: Bertini_real: numerical decomposition of real algebraic curves and surfaces. Zbl 1484.14109
Brake, Daniel A.; Bates, Daniel J.; Hao, Wenrui; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
5
2017
Decoupling highly structured polynomial systems. Zbl 1360.13064
Bates, Daniel J.; Newell, Andrew J.; Niemerg, Matthew E.
1
2017
Homotopies for connected components of algebraic sets with application to computing critical sets. Zbl 07036046
Bates, Daniel J.; Brake, Dani A.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
1
2017
BertiniLab: a MATLAB interface for solving systems of polynomial equations. Zbl 1333.65054
Bates, Daniel J.; Newell, Andrew J.; Niemerg, Matthew
2
2016
Bertini_real: software for one- and two-dimensional real algebraic sets. Zbl 1437.14005
Brake, Daniel A.; Bates, Daniel J.; Hao, Wenrui; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
13
2014
Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. Zbl 1410.65205
Bates, Daniel J.; Decker, Wolfram; Hauenstein, Jonathan D.; Peterson, Chris; Pfister, Gerhard; Schreyer, Frank-Olaf; Sommese, Andrew J.; Wampler, Charles W.
4
2014
Perturbed homotopies for finding all isolated solutions of polynomial systems. Zbl 1338.13046
Bates, Daniel J.; Davis, Brent; Eklund, David; Hanson, Eric; Peterson, Chris
3
2014
On computing a cell decomposition of a real surface containing infinitely many singularities. Zbl 1437.14061
Bates, Daniel J.; Brake, Daniel A.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
2
2014
Numerically solving polynomial systems with Bertini. Zbl 1295.65057
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
77
2013
Recovering exact results from inexact numerical data in algebraic geometry. Zbl 1284.14084
Bates, Daniel J.; Hauenstein, Jonathan D.; McCoy, Timothy M.; Peterson, Chris; Sommese, Andrew J.
10
2013
Computing intersection numbers of Chern classes. Zbl 1263.14005
Bates, Daniel J.; Eklund, David; Peterson, Chris
3
2013
Efficient path tracking methods. Zbl 1230.65059
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
18
2011
Toward a salmon conjecture. Zbl 1262.14056
Bates, Daniel J.; Oeding, Luke
16
2011
Khovanskii-Rolle continuation for real solutions. Zbl 1231.14047
Bates, Daniel J.; Sottile, Frank
8
2011
Numerical computation of the genus of an irreducible curve within an algebraic set. Zbl 1211.14062
Bates, Daniel J.; Peterson, Chris; Sommese, Andrew J.; Wampler, Charles W.
6
2011
Numerical algebraic geometry for optimal control applications. Zbl 1228.49018
Rostalski, Philipp; Fotiou, Ioannis A.; Bates, Daniel J.; Beccuti, A. Giovanni; Morari, Manfred
4
2011
A parallel endgame. Zbl 1238.14007
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
4
2011
A numerical local dimension test for points on the solution set of a system of polynomial equations. Zbl 1211.14066
Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J.
21
2009
Stepsize control for path tracking. Zbl 1181.65071
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II
20
2009
Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials. Zbl 1191.14071
Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J.
5
2009
Interactions of classical and numerical algebraic geometry. A conference in honor of Andrew Sommese, Notre Dame, IN, USA, May 22–24, 2008. Zbl 1175.14001
1
2009
Software for numerical algebraic geometry: a paradigm and progress towards its implementation. Zbl 1143.65344
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II
49
2008
Adaptive multiprecision path tracking. Zbl 1162.65026
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler II, Charles W.
38
2008
Finding all real points of a complex curve. Zbl 1136.65050
Lu, Ye; Bates, Daniel J.; Sommese, Andrew J.; Wampler, Charles W.
13
2007
Bounds on the number of real solutions to polynomial equations. Zbl 1129.14077
Bates, Daniel J.; Bihan, Frédéric; Sottile, Frank
8
2007
Solution of polynomial systems derived from differential equations. Zbl 1086.65075
Allgower, E. L.; Bates, D. J.; Sommese, A. J.; Wampler, C. W.
11
2006
all top 5

Cited by 297 Authors

40 Hauenstein, Jonathan D.
17 Sommese, Andrew John
15 Hao, Wenrui
12 Bates, Daniel J.
10 Wampler, Charles W. II
9 Sturmfels, Bernd
8 Leykin, Anton
8 Sottile, Frank
7 Peterson, Chris
6 Rodriguez, Jose Israel
5 Helmer, Martin
5 Mehta, Dhagash
5 Niemerg, Matthew E.
5 Oeding, Luke
5 Wu, Wenyuan
4 Bernardi, Alessandra
4 Eklund, David
4 Feng, Yong
4 Gross, Elizabeth
4 Li, Tien-Yien
4 Michałek, Mateusz
4 Telen, Simon
4 Vázquez-Leal, Héctor
3 Angelini, Elena
3 Chen, Changbo
3 Daleo, Noah S.
3 Di Rocco, Sandra
3 Dratman, Ezequiel
3 Hu, Bei
3 Krone, Robert
3 Lee, Tsung-Lin
3 Liddell, Alan C. jun.
3 Mourrain, Bernard
3 Van Barel, Marc
3 Verschelde, Jan
3 Yu, Bo
2 Ayyildiz Akoglu, Tulay
2 Batselier, Kim
2 Beltrán, Carlos
2 Boyd, John Philip
2 Breiding, Paul
2 Chen, Qipin
2 Davis, Brent R.
2 Dong, Bo
2 Draisma, Jan
2 Harrington, Heather A.
2 He, Yang-Hui Evariste
2 Hernandez-Martínez, Luis
2 Ikenmeyer, Christian
2 Imbach, Rémi
2 Kevrekidis, Panayotis G.
2 Kobel, Alexander
2 Landsberg, Joseph Montague
2 Lin, Guang
2 Mccoy, Timothy M.
2 Newell, Andrew J.
2 Ottaviani, Giorgio Maria
2 Pardo, Luis Miguel
2 Pouget, Marc
2 Regan, Margaret H.
2 Rummel, Markus
2 Safey El Din, Mohab
2 Sagraloff, Michael
2 Schicho, Josef
2 Schost, Éric
2 Szántó, Ágnes
2 Torres-Muñoz, Delia
2 Vinzant, Cynthia
2 Vu, Thi Xuan
2 Weinstein, Madeleine
2 Zhang, JinTao
2 Zhang, Yongtao
2 Zheng, Chunyue
1 Abban, Hamid
1 Adamer, Michael F.
1 Alaeddini, Adel
1 Alba-Ruiz, Eduardo
1 Améndola, Carlos
1 Antonacci, Fabio
1 Arrondo, Enrique
1 Baharev, Ali
1 Berberich, Eric
1 Berthomieu, Jérémy
1 Besana, Gian Mario
1 Bihan, Frédéric
1 Blekherman, Grigoriy
1 Bloch, Anthony Michael
1 Bobenko, Alexander Ivanovich
1 Bocci, Cristiano
1 Boeck, Thomas
1 Brake, Dani A.
1 Brake, Daniel A.
1 Brake, Danielle A.
1 Brakhage, Karl-Heinz
1 Brown, David A.
1 Brysiewicz, Taylor
1 Calussi, Gabriele
1 Campbell, Stephen LaVern
1 Casanellas Rius, Marta
1 Castañeda-Sheissa, Roberto
...and 197 more Authors
all top 5

Cited in 80 Serials

19 Journal of Symbolic Computation
9 Applied Mathematics and Computation
9 Journal of Computational and Applied Mathematics
8 Advances in Applied Mathematics
8 Journal of Scientific Computing
7 Mathematics of Computation
7 Foundations of Computational Mathematics
6 Numerical Algorithms
5 Journal of Pure and Applied Algebra
5 Theoretical Computer Science
5 Experimental Mathematics
5 Mechanism and Machine Theory
5 Journal of High Energy Physics
4 Journal of Complexity
4 Journal of Algebra and its Applications
4 Mathematics in Computer Science
4 SIAM Journal on Applied Algebra and Geometry
3 Bulletin of Mathematical Biology
3 Applied Mathematics Letters
3 Journal of Systems Science and Complexity
2 Computers & Mathematics with Applications
2 Journal of Mathematical Biology
2 Automatica
2 Computing
2 Journal of Algebra
2 Applied Numerical Mathematics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Scientific Computing
2 Computational and Applied Mathematics
2 Journal of the European Mathematical Society (JEMS)
2 Advances in Geometry
1 Communications in Algebra
1 Computers and Fluids
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Journal of the Franklin Institute
1 Rocky Mountain Journal of Mathematics
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Journal of Economic Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematica Scandinavica
1 Numerische Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Numerical Analysis
1 Optimal Control Applications & Methods
1 Acta Applicandae Mathematicae
1 Computer Aided Geometric Design
1 Journal of the American Mathematical Society
1 Differential Geometry and its Applications
1 The Journal of Geometric Analysis
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Celestial Mechanics and Dynamical Astronomy
1 SIAM Journal on Optimization
1 Applied Mathematics. Series B (English Edition)
1 Numerical Linear Algebra with Applications
1 Advances in Computational Mathematics
1 Vietnam Journal of Mathematics
1 Chaos
1 Revista Matemática Complutense
1 Far East Journal of Applied Mathematics
1 Communications in Nonlinear Science and Numerical Simulation
1 Communications in Contemporary Mathematics
1 Quantitative Finance
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Acta Numerica
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Frontiers of Mathematics in China
1 Electronic Research Announcements in Mathematical Sciences
1 ACM Communications in Computer Algebra
1 Forum of Mathematics, Sigma
1 European Journal of Mathematics
1 International Journal of Applied and Computational Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Results in Applied Mathematics
1 Foundations of Data Science
all top 5

Cited in 44 Fields

108 Numerical analysis (65-XX)
100 Algebraic geometry (14-XX)
45 Computer science (68-XX)
44 Commutative algebra (13-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
12 Mechanics of particles and systems (70-XX)
11 Ordinary differential equations (34-XX)
10 Partial differential equations (35-XX)
10 Biology and other natural sciences (92-XX)
9 Statistics (62-XX)
7 Field theory and polynomials (12-XX)
6 Convex and discrete geometry (52-XX)
6 Operations research, mathematical programming (90-XX)
6 Systems theory; control (93-XX)
5 Quantum theory (81-XX)
4 Functions of a complex variable (30-XX)
4 Probability theory and stochastic processes (60-XX)
4 Fluid mechanics (76-XX)
3 Group theory and generalizations (20-XX)
3 Real functions (26-XX)
3 Several complex variables and analytic spaces (32-XX)
2 Combinatorics (05-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Differential geometry (53-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Relativity and gravitational theory (83-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year