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Hauenstein, Jonathan D.

Author ID: hauenstein.jonathan-d Recent zbMATH articles by "Hauenstein, Jonathan D."
Published as: Hauenstein, Jonathan D.; Hauenstein, Jonathan; Hauenstein, J. D.
External Links: MGP · ORCID · Wikidata
all top 5

Co-Authors

4 single-authored
33 Sommese, Andrew John
17 Wampler, Charles W. II
16 Bates, Daniel J.
15 Mehta, Dhagash
10 Hao, Wenrui
8 Sottile, Frank
7 Peterson, Chris
6 Brake, Daniel A.
6 Daleo, Noah S.
6 Hu, Bei
6 Regan, Margaret H.
6 Szántó, Ágnes
5 Liddell, Alan C. jun.
5 Tang, Tingting
4 Rodriguez, Jose Israel
4 Sherman, Samantha N.
4 Zhang, Yongtao
3 Brake, Danielle A.
3 Chen, Tianran
3 Edwards, Parker B.
3 He, Yang-Hui Evariste
3 Ikenmeyer, Christian
3 Landsberg, Joseph Montague
3 Liu, Yuan
3 Mourrain, Bernard
3 Niemerg, Matthew E.
2 Di Rocco, Sandra
2 Dufresne, Emilie
2 Griffin, Zachary A.
2 Harrington, Heather A.
2 Harris, Katherine M.
2 Haywood, Ian
2 Hein, Nickolas
2 Leykin, Anton
2 McCoy, Timothy M.
2 Molzahn, Daniel K.
2 Oeding, Luke
2 Ottaviani, Giorgio Maria
2 Schreyer, Frank-Olaf
2 Sturmfels, Bernd
2 Wales, David J.
1 Ayyildiz Akoglu, Tulay
1 Bernal, Edgar A.
1 Bernardi, Alessandra
1 Besana, Gian Mario
1 Bisi, Cinzia
1 Blekherman, Grigoriy
1 Bopardikar, Shaunak D.
1 Brake, Dani A.
1 Breiding, Paul
1 Brysiewicz, Taylor
1 Chiantini, Luca
1 Cleveland, Joseph
1 Collins, Joseph B.
1 Coss, Owen
1 Cox, David A.
1 Cummings, Joseph
1 D’Andrea, Carlos
1 Decker, Wolfram
1 Dickenstein, Alicia M.
1 Dörfler, Florian
1 Dzugan, Jeffrey
1 Eklund, David
1 Gäfvert, Oliver
1 Gesmundo, Fulvio
1 Helmer, Martin
1 Hills, Caroline
1 Hong, Hoon
1 Huang, Rijun
1 Kevrekidis, Panayotis G.
1 Kotsireas, Ilias S.
1 Kulkarni, Avinash
1 Lerario, Antonio
1 Levandovskyy, Viktor
1 Lundberg, Erik
1 Mahdi, Adam
1 Manivel, Laurent
1 Matusevich, Laura Felicia
1 McPherson, Sanesha
1 Migliore, Juan Carlos
1 Morse, Anthony Perry
1 Nezhad, Ali Mohammad
1 Ottem, John Christian
1 Pan, Victor Yakovlevich
1 Pessoa, Claudio
1 Pfister, Gerhard
1 Ranestad, Kristian
1 Robol, Leonardo
1 Schenck, Hal
1 Schlenk, Taylor
1 Seaton, Christopher
1 Sertöz, Emre Can
1 Shu, Chi-Wang
1 Sidman, Jessica
1 Simm, Nicholas J.
1 Smyth, Clifford
1 Stariolo, Daniel A.
1 Stillman, Michael Eugene
1 Szendrői, Balázs
1 Terlaky, Tamás
...and 6 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

85 Publications have been cited 1,104 times in 489 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.
126
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
68
2008
Algorithm 921: alphaCertified: certifying solutions to polynomial systems. Zbl 1365.65148
Hauenstein, Jonathan D.; Sottile, Frank
55
2012
Regeneration homotopies for solving systems of polynomials. Zbl 1221.65121
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
43
2011
Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
41
2012
Adaptive multiprecision path tracking. Zbl 1162.65026
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler II, Charles W.
41
2008
Isosingular sets and deflation. Zbl 1276.65029
Hauenstein, Jonathan D.; Wampler, Charles W.
31
2013
Witness sets of projections. Zbl 1203.14072
Hauenstein, Jonathan D.; Sommese, Andrew J.
31
2010
Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
27
2012
Algebraic boundaries of Hilbert’s SOS cones. Zbl 1273.13043
Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd
27
2012
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.
26
2009
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. Zbl 1349.65558
Hao, Wenrui; Hauenstein, Jonathan D.; Shu, Chi-Wang; Sommese, Andrew J.; Xu, Zhiliang; Zhang, Yong-Tao
25
2013
Algebraic geometrization of the Kuramoto model: equilibria and stability analysis. Zbl 1374.34115
Mehta, Dhagash; Daleo, Noah S.; Dörfler, Florian; Hauenstein, Jonathan D.
25
2015
Numerically computing real points on algebraic sets. Zbl 1269.65048
Hauenstein, Jonathan D.
25
2013
Homotopy techniques for tensor decomposition and perfect identifiability. Zbl 1440.15019
Hauenstein, Jonathan D.; Oeding, Luke; Ottaviani, Giorgio; Sommese, Andrew J.
25
2019
A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
24
2014
A three-dimensional steady-state tumor system. Zbl 1238.92019
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
22
2011
Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1303.92044
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; McCoy, Timothy; Sommese, Andrew J.
21
2013
Efficient path tracking methods. Zbl 1230.65059
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
20
2011
Stepsize control for path tracking. Zbl 1181.65071
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II
20
2009
Regenerative cascade homotopies for solving polynomial systems. Zbl 1231.65190
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
19
2011
Maximum likelihood for matrices with rank constraints. Zbl 1345.62043
Hauenstein, Jonathan; Rodriguez, Jose Israel; Sturmfels, Bernd
17
2014
Membership tests for images of algebraic sets by linear projections. Zbl 1285.14066
Hauenstein, Jonathan D.; Sommese, Andrew J.
16
2013
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.
14
2014
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.
13
2013
Cell decomposition of almost smooth real algebraic surfaces. Zbl 1271.65031
Besana, Gian Mario; Di Rocco, Sandra; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
12
2013
Equations for lower bounds on border rank. Zbl 1361.68098
Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M.
12
2013
An a posteriori certification algorithm for Newton homotopies. Zbl 1325.65074
Hauenstein, Jonathan D.; Haywood, Ian; Liddell, Alan C. jun.
11
2014
Numerical elimination and moduli space of vacua. Zbl 1342.83004
Hauenstein, Jonathan; He, Yang-Hui; Mehta, Dhagash
11
2013
On deflation and multiplicity structure. Zbl 1387.13063
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
11
2017
Certifying isolated singular points and their multiplicity structure. Zbl 1345.68286
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
11
2015
Tensor decomposition and homotopy continuation. Zbl 1377.65057
Bernardi, Alessandra; Daleo, Noah S.; Hauenstein, Jonathan D.; Mourrain, Bernard
10
2017
Numerical computation of Galois groups. Zbl 1442.14186
Hauenstein, Jonathan D.; Rodriguez, Jose Israel; Sottile, Frank
10
2018
Unification and extension of intersection algorithms in numerical algebraic geometry. Zbl 1411.65075
Hauenstein, Jonathan D.; Wampler, Charles W.
10
2017
Certifying solutions to overdetermined and singular polynomial systems over \(\mathbb{Q}\). Zbl 1415.65121
Ayyildiz Akoglu, Tulay; Hauenstein, Jonathan D.; Szanto, Agnes
9
2018
Experiments on the zeros of harmonic polynomials using certified counting. Zbl 1365.30002
Hauenstein, J. D.; Lerario, A.; Lundberg, E.; Mehta, D.
9
2015
Certified predictor-corrector tracking for Newton homotopies. Zbl 1329.65110
Hauenstein, Jonathan D.; Liddell, Alan C.
9
2016
Applications of polynomial systems. With contributions by Carlos D’Andrea, Alicia Dickenstein, Jonathan Hauenstein, Hal Schenck, and Jessica Sidman. Zbl 1469.13001
Cox, David A.
9
2020
Mechanism mobility and a local dimension test. Zbl 1273.70004
Wampler, Charles W.; Hauenstein, Jonathan D.; Sommese, Andrew J.
8
2011
Locating and counting equilibria of the Kuramoto model with rank-one coupling. Zbl 1428.65003
Coss, Owen; Hauenstein, Jonathan D.; Hong, Hoon; Molzahn, Daniel K.
7
2018
A hybrid symbolic-numerical approach to the center-focus problem. Zbl 1372.14053
Mahdi, Adam; Pessoa, Claudio; Hauenstein, Jonathan D.
7
2017
Numerically deciding the arithmetically Cohen-Macaulayness of a projective scheme. Zbl 1329.14108
Daleo, Noah S.; Hauenstein, Jonathan D.
7
2016
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.
7
2009
Multiprojective witness sets and a trace test. Zbl 1448.65054
Hauenstein, Jonathan D.; Rodriguez, Jose Israel
7
2020
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.
7
2017
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.
7
2014
Polynomials and the exponent of matrix multiplication. Zbl 1404.15020
Chiantini, Luca; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, Joseph M.; Ottaviani, Giorgio
7
2018
Real solutions to systems of polynomial equations and parameter continuation. Zbl 1309.65056
Griffin, Zachary A.; Hauenstein, Jonathan D.
6
2015
Foreword. What is numerical algebraic geometry? Zbl 1360.00098
6
2017
Numerical computation of the Hilbert function and regularity of a zero dimensional scheme. Zbl 1315.13032
Griffin, Zachary A.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J.
6
2014
Newton polytopes and witness sets. Zbl 1304.14077
Hauenstein, Jonathan D.; Sottile, Frank
6
2014
Adaptive strategies for solving parameterized systems using homotopy continuation. Zbl 1427.65086
Hauenstein, Jonathan D.; Regan, Margaret H.
6
2018
Numerical algebraic geometry: a new perspective on gauge and string theories. Zbl 1397.81271
Mehta, Dhagash; He, Yang-Hui; Hauenstein, Jonathan D.
6
2012
Global structure of curves from generalized unitarity cut of three-loop diagrams. Zbl 1388.81392
Hauenstein, Jonathan D.; Huang, Rijun; Mehta, Dhagash; Zhang, Yang
5
2015
Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning. Zbl 1218.65043
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
5
2011
A parallel endgame. Zbl 1238.14007
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
4
2011
A primal-dual formulation for certifiable computations in Schubert calculus. Zbl 1360.14126
Hauenstein, Jonathan D.; Hein, Nickolas; Sottile, Frank
4
2016
Validating the completeness of the real solution set of a system of polynomial equations. Zbl 1362.13027
Brake, Daniel A.; Hauenstein, Jonathan D.; Liddell, Alan C.
4
2016
Numerically testing generically reduced projective schemes for the arithmetic Gorenstein property. Zbl 1460.14106
Daleo, Noah S.; Hauenstein, Jonathan D.
4
2016
Complexity of linear circuits and geometry. Zbl 1345.68157
Gesmundo, Fulvio; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M.
4
2016
Numerically intersecting algebraic varieties via witness sets. Zbl 1295.14054
Hauenstein, Jonathan D.; Wampler, Charles W.
4
2013
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.
3
2014
Computations and equations for Segre-Grassmann hypersurfaces. Zbl 1350.14034
Daleo, Noah S.; Hauenstein, Jonathan D.; Oeding, Luke
3
2016
Certifying solutions to square systems of polynomial-exponential equations. Zbl 1357.14071
Hauenstein, Jonathan D.; Levandovskyy, Viktor
3
2017
A numerical toolkit for multiprojective varieties. Zbl 1451.65065
Hauenstein, Jonathan D.; Leykin, Anton; Rodriguez, Jose Israel; Sottile, Frank
3
2021
Decomposing solution sets of polynomial systems using derivatives. Zbl 1434.14022
Brake, Daniel A.; Hauenstein, Jonathan D.; Liddell, Alan C. jun.
3
2016
Machine learning the real discriminant locus. Zbl 1504.14104
Bernal, Edgar A.; Hauenstein, Jonathan D.; Mehta, Dhagash; Regan, Margaret H.; Tang, Tingting
3
2023
Real monodromy action. Zbl 1433.65094
Hauenstein, Jonathan D.; Regan, Margaret H.
3
2020
Numerical computation of the dimensions of the cohomology of twists of ideal sheaves. Zbl 1185.14041
Hauenstein, Jonathan D.; Migliore, Juan C.; Peterson, Chris; Sommese, Andrew J.
2
2009
Binomiality testing and computing sparse polynomials via witness sets. Zbl 1498.14152
Hauenstein, Jonathan D.; Matusevich, Laura; Peterson, Chris; Sherman, Samantha N.
2
2022
Smooth points on semi-algebraic sets. Zbl 1499.14098
Harris, Katherine; Hauenstein, Jonathan D.; Szanto, Agnes
2
2020
Probabilistic saturations and Alt’s problem. Zbl 1502.14146
Hauenstein, Jonathan D.; Helmer, Martin
2
2022
Exceptional Stewart-Gough platforms, Segre embeddings, and the special Euclidean group. Zbl 1455.65076
Hauenstein, Jonathan D.; Sherman, Samantha N.; Wampler, Charles W.
2
2018
A note on global Newton iteration over Archimedean and non-Archimedean fields. Zbl 1416.68221
Hauenstein, Jonathan D.; Pan, Victor Y.; Szanto, Agnes
1
2014
Numerical local irreducible decomposition. Zbl 1460.14131
Brake, Daniel A.; Hauenstein, Jonathan D.; Sommese, Andrew J.
1
2016
Special issue on algebraic geometry and machine learning. Zbl 07680286
1
2023
A counter example to an ideal membership test. Zbl 1410.68411
Hauenstein, Jonathan D.
1
2010
A singular value homotopy for finding critical parameter values. Zbl 1470.65106
Collins, J. B.; Hauenstein, Jonathan D.
1
2021
Homotopies for connected components of algebraic sets with application to computing critical sets. Zbl 1497.14121
Bates, Daniel J.; Brake, Dani A.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
1
2017
On the equations defining some Hilbert schemes. Zbl 1485.14111
Hauenstein, Jonathan D.; Manivel, Laurent; Szendrői, Balázs
1
2022
On computing the nonlinearity interval in parametric semidefinite optimization. Zbl 1528.90180
Hauenstein, Jonathan D.; Mohammad-Nezhad, Ali; Tang, Tingting; Terlaky, Tamás
1
2022
Evaluating and differentiating a polynomial using a pseudo-witness set. Zbl 1503.65111
Hauenstein, Jonathan D.; Regan, Margaret H.
1
2020
Using monodromy to statistically estimate the number of solutions. Zbl 07608753
Hauenstein, Jonathan D.; Sherman, Samantha N.
1
2022
Certifying reality of projections. Zbl 1396.14053
Hauenstein, Jonathan D.; Kulkarni, Avinash; Sertöz, Emre C.; Sherman, Samantha N.
1
2018
Singular value decomposition of complexes. Zbl 1428.14091
Brake, Danielle A.; Hauenstein, Jonathan D.; Schreyer, Frank-Olaf; Sommese, Andrew J.; Stillman, Michael E.
1
2019
Machine learning the real discriminant locus. Zbl 1504.14104
Bernal, Edgar A.; Hauenstein, Jonathan D.; Mehta, Dhagash; Regan, Margaret H.; Tang, Tingting
3
2023
Special issue on algebraic geometry and machine learning. Zbl 07680286
1
2023
Binomiality testing and computing sparse polynomials via witness sets. Zbl 1498.14152
Hauenstein, Jonathan D.; Matusevich, Laura; Peterson, Chris; Sherman, Samantha N.
2
2022
Probabilistic saturations and Alt’s problem. Zbl 1502.14146
Hauenstein, Jonathan D.; Helmer, Martin
2
2022
On the equations defining some Hilbert schemes. Zbl 1485.14111
Hauenstein, Jonathan D.; Manivel, Laurent; Szendrői, Balázs
1
2022
On computing the nonlinearity interval in parametric semidefinite optimization. Zbl 1528.90180
Hauenstein, Jonathan D.; Mohammad-Nezhad, Ali; Tang, Tingting; Terlaky, Tamás
1
2022
Using monodromy to statistically estimate the number of solutions. Zbl 07608753
Hauenstein, Jonathan D.; Sherman, Samantha N.
1
2022
A numerical toolkit for multiprojective varieties. Zbl 1451.65065
Hauenstein, Jonathan D.; Leykin, Anton; Rodriguez, Jose Israel; Sottile, Frank
3
2021
A singular value homotopy for finding critical parameter values. Zbl 1470.65106
Collins, J. B.; Hauenstein, Jonathan D.
1
2021
Applications of polynomial systems. With contributions by Carlos D’Andrea, Alicia Dickenstein, Jonathan Hauenstein, Hal Schenck, and Jessica Sidman. Zbl 1469.13001
Cox, David A.
9
2020
Multiprojective witness sets and a trace test. Zbl 1448.65054
Hauenstein, Jonathan D.; Rodriguez, Jose Israel
7
2020
Real monodromy action. Zbl 1433.65094
Hauenstein, Jonathan D.; Regan, Margaret H.
3
2020
Smooth points on semi-algebraic sets. Zbl 1499.14098
Harris, Katherine; Hauenstein, Jonathan D.; Szanto, Agnes
2
2020
Evaluating and differentiating a polynomial using a pseudo-witness set. Zbl 1503.65111
Hauenstein, Jonathan D.; Regan, Margaret H.
1
2020
Homotopy techniques for tensor decomposition and perfect identifiability. Zbl 1440.15019
Hauenstein, Jonathan D.; Oeding, Luke; Ottaviani, Giorgio; Sommese, Andrew J.
25
2019
Singular value decomposition of complexes. Zbl 1428.14091
Brake, Danielle A.; Hauenstein, Jonathan D.; Schreyer, Frank-Olaf; Sommese, Andrew J.; Stillman, Michael E.
1
2019
Numerical computation of Galois groups. Zbl 1442.14186
Hauenstein, Jonathan D.; Rodriguez, Jose Israel; Sottile, Frank
10
2018
Certifying solutions to overdetermined and singular polynomial systems over \(\mathbb{Q}\). Zbl 1415.65121
Ayyildiz Akoglu, Tulay; Hauenstein, Jonathan D.; Szanto, Agnes
9
2018
Locating and counting equilibria of the Kuramoto model with rank-one coupling. Zbl 1428.65003
Coss, Owen; Hauenstein, Jonathan D.; Hong, Hoon; Molzahn, Daniel K.
7
2018
Polynomials and the exponent of matrix multiplication. Zbl 1404.15020
Chiantini, Luca; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, Joseph M.; Ottaviani, Giorgio
7
2018
Adaptive strategies for solving parameterized systems using homotopy continuation. Zbl 1427.65086
Hauenstein, Jonathan D.; Regan, Margaret H.
6
2018
Exceptional Stewart-Gough platforms, Segre embeddings, and the special Euclidean group. Zbl 1455.65076
Hauenstein, Jonathan D.; Sherman, Samantha N.; Wampler, Charles W.
2
2018
Certifying reality of projections. Zbl 1396.14053
Hauenstein, Jonathan D.; Kulkarni, Avinash; Sertöz, Emre C.; Sherman, Samantha N.
1
2018
On deflation and multiplicity structure. Zbl 1387.13063
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
11
2017
Tensor decomposition and homotopy continuation. Zbl 1377.65057
Bernardi, Alessandra; Daleo, Noah S.; Hauenstein, Jonathan D.; Mourrain, Bernard
10
2017
Unification and extension of intersection algorithms in numerical algebraic geometry. Zbl 1411.65075
Hauenstein, Jonathan D.; Wampler, Charles W.
10
2017
A hybrid symbolic-numerical approach to the center-focus problem. Zbl 1372.14053
Mahdi, Adam; Pessoa, Claudio; Hauenstein, Jonathan D.
7
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.
7
2017
Foreword. What is numerical algebraic geometry? Zbl 1360.00098
6
2017
Certifying solutions to square systems of polynomial-exponential equations. Zbl 1357.14071
Hauenstein, Jonathan D.; Levandovskyy, Viktor
3
2017
Homotopies for connected components of algebraic sets with application to computing critical sets. Zbl 1497.14121
Bates, Daniel J.; Brake, Dani A.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
1
2017
Certified predictor-corrector tracking for Newton homotopies. Zbl 1329.65110
Hauenstein, Jonathan D.; Liddell, Alan C.
9
2016
Numerically deciding the arithmetically Cohen-Macaulayness of a projective scheme. Zbl 1329.14108
Daleo, Noah S.; Hauenstein, Jonathan D.
7
2016
A primal-dual formulation for certifiable computations in Schubert calculus. Zbl 1360.14126
Hauenstein, Jonathan D.; Hein, Nickolas; Sottile, Frank
4
2016
Validating the completeness of the real solution set of a system of polynomial equations. Zbl 1362.13027
Brake, Daniel A.; Hauenstein, Jonathan D.; Liddell, Alan C.
4
2016
Numerically testing generically reduced projective schemes for the arithmetic Gorenstein property. Zbl 1460.14106
Daleo, Noah S.; Hauenstein, Jonathan D.
4
2016
Complexity of linear circuits and geometry. Zbl 1345.68157
Gesmundo, Fulvio; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M.
4
2016
Computations and equations for Segre-Grassmann hypersurfaces. Zbl 1350.14034
Daleo, Noah S.; Hauenstein, Jonathan D.; Oeding, Luke
3
2016
Decomposing solution sets of polynomial systems using derivatives. Zbl 1434.14022
Brake, Daniel A.; Hauenstein, Jonathan D.; Liddell, Alan C. jun.
3
2016
Numerical local irreducible decomposition. Zbl 1460.14131
Brake, Daniel A.; Hauenstein, Jonathan D.; Sommese, Andrew J.
1
2016
Algebraic geometrization of the Kuramoto model: equilibria and stability analysis. Zbl 1374.34115
Mehta, Dhagash; Daleo, Noah S.; Dörfler, Florian; Hauenstein, Jonathan D.
25
2015
Certifying isolated singular points and their multiplicity structure. Zbl 1345.68286
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
11
2015
Experiments on the zeros of harmonic polynomials using certified counting. Zbl 1365.30002
Hauenstein, J. D.; Lerario, A.; Lundberg, E.; Mehta, D.
9
2015
Real solutions to systems of polynomial equations and parameter continuation. Zbl 1309.65056
Griffin, Zachary A.; Hauenstein, Jonathan D.
6
2015
Global structure of curves from generalized unitarity cut of three-loop diagrams. Zbl 1388.81392
Hauenstein, Jonathan D.; Huang, Rijun; Mehta, Dhagash; Zhang, Yang
5
2015
A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
24
2014
Maximum likelihood for matrices with rank constraints. Zbl 1345.62043
Hauenstein, Jonathan; Rodriguez, Jose Israel; Sturmfels, Bernd
17
2014
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.
14
2014
An a posteriori certification algorithm for Newton homotopies. Zbl 1325.65074
Hauenstein, Jonathan D.; Haywood, Ian; Liddell, Alan C. jun.
11
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.
7
2014
Numerical computation of the Hilbert function and regularity of a zero dimensional scheme. Zbl 1315.13032
Griffin, Zachary A.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J.
6
2014
Newton polytopes and witness sets. Zbl 1304.14077
Hauenstein, Jonathan D.; Sottile, Frank
6
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.
3
2014
A note on global Newton iteration over Archimedean and non-Archimedean fields. Zbl 1416.68221
Hauenstein, Jonathan D.; Pan, Victor Y.; Szanto, Agnes
1
2014
Numerically solving polynomial systems with Bertini. Zbl 1295.65057
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
126
2013
Isosingular sets and deflation. Zbl 1276.65029
Hauenstein, Jonathan D.; Wampler, Charles W.
31
2013
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. Zbl 1349.65558
Hao, Wenrui; Hauenstein, Jonathan D.; Shu, Chi-Wang; Sommese, Andrew J.; Xu, Zhiliang; Zhang, Yong-Tao
25
2013
Numerically computing real points on algebraic sets. Zbl 1269.65048
Hauenstein, Jonathan D.
25
2013
Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1303.92044
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; McCoy, Timothy; Sommese, Andrew J.
21
2013
Membership tests for images of algebraic sets by linear projections. Zbl 1285.14066
Hauenstein, Jonathan D.; Sommese, Andrew J.
16
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.
13
2013
Cell decomposition of almost smooth real algebraic surfaces. Zbl 1271.65031
Besana, Gian Mario; Di Rocco, Sandra; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
12
2013
Equations for lower bounds on border rank. Zbl 1361.68098
Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M.
12
2013
Numerical elimination and moduli space of vacua. Zbl 1342.83004
Hauenstein, Jonathan; He, Yang-Hui; Mehta, Dhagash
11
2013
Numerically intersecting algebraic varieties via witness sets. Zbl 1295.14054
Hauenstein, Jonathan D.; Wampler, Charles W.
4
2013
Algorithm 921: alphaCertified: certifying solutions to polynomial systems. Zbl 1365.65148
Hauenstein, Jonathan D.; Sottile, Frank
55
2012
Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
41
2012
Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
27
2012
Algebraic boundaries of Hilbert’s SOS cones. Zbl 1273.13043
Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd
27
2012
Numerical algebraic geometry: a new perspective on gauge and string theories. Zbl 1397.81271
Mehta, Dhagash; He, Yang-Hui; Hauenstein, Jonathan D.
6
2012
Regeneration homotopies for solving systems of polynomials. Zbl 1221.65121
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
43
2011
A three-dimensional steady-state tumor system. Zbl 1238.92019
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
22
2011
Efficient path tracking methods. Zbl 1230.65059
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
20
2011
Regenerative cascade homotopies for solving polynomial systems. Zbl 1231.65190
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
19
2011
Mechanism mobility and a local dimension test. Zbl 1273.70004
Wampler, Charles W.; Hauenstein, Jonathan D.; Sommese, Andrew J.
8
2011
Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning. Zbl 1218.65043
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
5
2011
A parallel endgame. Zbl 1238.14007
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
4
2011
Witness sets of projections. Zbl 1203.14072
Hauenstein, Jonathan D.; Sommese, Andrew J.
31
2010
A counter example to an ideal membership test. Zbl 1410.68411
Hauenstein, Jonathan D.
1
2010
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.
26
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.
7
2009
Numerical computation of the dimensions of the cohomology of twists of ideal sheaves. Zbl 1185.14041
Hauenstein, Jonathan D.; Migliore, Juan C.; Peterson, Chris; Sommese, Andrew J.
2
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
68
2008
Adaptive multiprecision path tracking. Zbl 1162.65026
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler II, Charles W.
41
2008
all top 5

Cited by 680 Authors

57 Hauenstein, Jonathan D.
27 Hao, Wenrui
22 Sommese, Andrew John
17 Rodriguez, Jose Israel
17 Sottile, Frank
16 Hu, Bei
16 Sturmfels, Bernd
13 Bates, Daniel J.
12 Leykin, Anton
12 Peterson, Chris
12 Wu, Wenyuan
11 Bernardi, Alessandra
11 Wampler, Charles W. II
10 Eklund, David
10 Mehta, Dhagash
9 Michałek, Mateusz
8 He, Yang-Hui Evariste
8 Landsberg, Joseph Montague
7 Breiding, Paul
7 Di Rocco, Sandra
7 Safey El Din, Mohab
7 Szántó, Ágnes
7 Telen, Simon
6 Blekherman, Grigoriy
6 Duff, Timothy
6 Helmer, Martin
6 Mourrain, Bernard
6 Ottaviani, Giorgio Maria
6 Regan, Margaret H.
6 Zhang, Yongtao
5 Angelini, Elena
5 Ballico, Edoardo
5 Chen, Changbo
5 Chen, Tianran
5 Chiantini, Luca
5 Huang, Yaodan
5 Kubjas, Kaie
5 Niemerg, Matthew E.
5 Vannieuwenhoven, Nick
5 Verschelde, Jan
5 Xing, Ruixiang
5 Zhang, Zhengce
5 Zhi, Lihong
4 Beltrán, Carlos E.
4 Brysiewicz, Taylor
4 del Campo, Abraham Martín
4 Draisma, Jan
4 Feng, Yong
4 Heaton, Alexander
4 Hein, Nickolas
4 Ikenmeyer, Christian
4 Krone, Robert
4 Lairez, Pierre
4 Lee, Tsung-Lin
4 Li, Tien-Yien
4 Lin, Guang
4 Lundberg, Erik
4 Timme, Sascha
4 Townsend, Alex
4 Vázquez-Leal, Héctor
4 Vinzant, Cynthia
4 Wang, Dongming
4 Wu, Junde
4 Zeng, Zhonggang
4 Zhang, Lei
4 Zhao, Xinyue Evelyn
3 Améndola, Carlos
3 Ayyildiz Akoglu, Tulay
3 Batselier, Kim
3 Burr, Michael A.
3 Chen, Hongbin
3 Chen, Qipin
3 Daleo, Noah S.
3 Delabays, Robin
3 DeVille, Lee
3 Faugère, Jean-Charles
3 Gäfvert, Oliver
3 Gesmundo, Fulvio
3 Gross, Elizabeth
3 Harrington, Heather A.
3 He, Yinnian
3 Horobeţ, Emil
3 Huang, Bo
3 Jacquod, Philippe
3 Jejjala, Vishnu
3 Kummer, Mario Denis
3 Li, Nan
3 Li, Shuwang
3 Liddell, Alan C. jun.
3 Lim, Lek-Heng
3 Matti, Cyril
3 Mella, Massimiliano
3 Nelson, Brent D.
3 Oeding, Luke
3 Pessoa, Claudio
3 Ranestad, Kristian
3 Schost, Éric
3 Sertöz, Emre Can
3 Sherman, Samantha N.
3 Shu, Chi-Wang
...and 580 more Authors
all top 5

Cited in 148 Serials

53 Journal of Symbolic Computation
15 Mathematics of Computation
15 Foundations of Computational Mathematics
15 SIAM Journal on Applied Algebra and Geometry
14 Journal of High Energy Physics
12 Applied Mathematics and Computation
12 Journal of Computational and Applied Mathematics
12 Journal of Scientific Computing
10 Journal of Computational Physics
10 Advances in Applied Mathematics
10 Chaos
9 Numerical Algorithms
9 Experimental Mathematics
8 Journal of Differential Equations
8 Journal of Pure and Applied Algebra
6 Journal of Mathematical Analysis and Applications
6 Linear Algebra and its Applications
6 Journal of Algebra and its Applications
5 Computers & Mathematics with Applications
5 Journal of Mathematical Physics
5 SIAM Journal on Optimization
5 Mechanism and Machine Theory
5 Nonlinear Analysis. Real World Applications
5 Mathematics in Computer Science
4 Bulletin of Mathematical Biology
4 Journal of Algebra
4 Theoretical Computer Science
4 SIAM Journal on Matrix Analysis and Applications
4 Journal of Systems Science and Complexity
4 SIAM Journal on Applied Dynamical Systems
4 Arnold Mathematical Journal
4 European Journal of Mathematics
3 Journal of Mathematical Biology
3 Mathematical Methods in the Applied Sciences
3 Nonlinearity
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Proceedings of the American Mathematical Society
3 Transactions of the American Mathematical Society
3 Discrete & Computational Geometry
3 SIAM Journal on Scientific Computing
3 Vietnam Journal of Mathematics
3 Advances in Geometry
3 Discrete and Continuous Dynamical Systems. Series B
2 Computers and Fluids
2 Linear and Multilinear Algebra
2 Physics Letters. B
2 Advances in Mathematics
2 Automatica
2 Compositio Mathematica
2 Journal für die Reine und Angewandte Mathematik
2 Le Matematiche
2 Numerische Mathematik
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 SIAM Journal on Numerical Analysis
2 Physica D
2 Applied Numerical Mathematics
2 Journal of Complexity
2 Applied Mathematics Letters
2 Journal of the American Mathematical Society
2 Differential Geometry and its Applications
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 SIAM Review
2 Mathematical Programming. Series A. Series B
2 Journal of Dynamics and Differential Equations
2 Computational and Applied Mathematics
2 Advances in Computational Mathematics
2 Discrete and Continuous Dynamical Systems
2 Mediterranean Journal of Mathematics
2 Acta Numerica
2 Oberwolfach Reports
2 Communications in Computational Physics
2 Bollettino dell’Unione Matematica Italiana
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Computer Physics Communications
1 Discrete Mathematics
1 Journal of Engineering Mathematics
1 Journal of the Franklin Institute
1 Journal of Statistical Physics
1 Nuclear Physics. B
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Beiträge zur Algebra und Geometrie
1 The Annals of Statistics
1 Bulletin of the London Mathematical Society
1 Computing
1 Glasgow Mathematical Journal
1 Journal of Economic Theory
1 Mathematische Annalen
1 Mathematics of Operations Research
1 Mathematika
1 Meccanica
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Control and Optimization
1 Acta Applicandae Mathematicae
1 Computer Aided Geometric Design
1 Neural Computation
1 Computational Geometry
1 IMRN. International Mathematics Research Notices
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
...and 48 more Serials
all top 5

Cited in 53 Fields

215 Algebraic geometry (14-XX)
198 Numerical analysis (65-XX)
100 Computer science (68-XX)
89 Commutative algebra (13-XX)
64 Partial differential equations (35-XX)
50 Linear and multilinear algebra; matrix theory (15-XX)
47 Biology and other natural sciences (92-XX)
34 Ordinary differential equations (34-XX)
25 Convex and discrete geometry (52-XX)
25 Quantum theory (81-XX)
22 Operations research, mathematical programming (90-XX)
17 Statistics (62-XX)
17 Mechanics of particles and systems (70-XX)
16 Field theory and polynomials (12-XX)
14 Combinatorics (05-XX)
12 Dynamical systems and ergodic theory (37-XX)
11 Functions of a complex variable (30-XX)
11 Fluid mechanics (76-XX)
10 Systems theory; control (93-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Number theory (11-XX)
6 Relativity and gravitational theory (83-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Information and communication theory, circuits (94-XX)
5 Real functions (26-XX)
5 Potential theory (31-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Geometry (51-XX)
5 Algebraic topology (55-XX)
5 Probability theory and stochastic processes (60-XX)
4 Associative rings and algebras (16-XX)
4 Group theory and generalizations (20-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 General and overarching topics; collections (00-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Approximations and expansions (41-XX)
2 Operator theory (47-XX)
2 Differential geometry (53-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of deformable solids (74-XX)
2 Astronomy and astrophysics (85-XX)
1 Mathematical logic and foundations (03-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Optics, electromagnetic theory (78-XX)
1 Mathematics education (97-XX)

Citations by Year

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