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Hauenstein, Jonathan D.

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Author ID: hauenstein.jonathan-d Recent zbMATH articles by "Hauenstein, Jonathan D."
Published as: Hauenstein, Jonathan D.; Hauenstein, Jonathan
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Co-Authors

4 single-authored
33 Sommese, Andrew John
17 Wampler, Charles W. II
15 Bates, Daniel J.
9 Hao, Wenrui
6 Brake, Daniel A.
6 Hu, Bei
6 Peterson, Chris
6 Sottile, Frank
5 Daleo, Noah S.
5 Liddell, Alan C. jun.
4 Mehta, Dhagash
4 Rodriguez, Jose Israel
4 Szántó, Ágnes
4 Zhang, Yongtao
3 Brake, Danielle A.
3 Ikenmeyer, Christian
3 Landsberg, Joseph Montague
3 Liu, Yuan
3 Mourrain, Bernard
3 Regan, Margaret H.
2 Griffin, Zachary A.
2 He, Yang-Hui Evariste
2 Mccoy, Timothy M.
2 Oeding, Luke
2 Ottaviani, Giorgio Maria
2 Schreyer, Frank-Olaf
2 Sherman, Samantha N.
2 Sturmfels, Bernd
1 Ayyildiz Akoglu, Tulay
1 Bernardi, Alessandra
1 Besana, Gian Mario
1 Blekherman, Grigoriy
1 Brake, Dani A.
1 Chiantini, Luca
1 Collins, Joseph B.
1 Coss, Owen
1 Cox, David A.
1 D’Andrea, Carlos
1 Decker, Wolfram
1 Di Rocco, Sandra
1 Dickenstein, Alicia M.
1 Dörfler, Florian
1 Dufresne, Emilie
1 Gesmundo, Fulvio
1 Harrington, Heather A.
1 Haywood, Ian
1 Hein, Nickolas
1 Hong, Hoon
1 Huang, Rijun
1 Kevrekidis, Panayotis G.
1 Kulkarni, Avinash
1 Lerario, Antonio
1 Levandovskyy, Viktor
1 Leykin, Anton
1 Lundberg, Erik
1 Mahdi, Adam
1 Manivel, Laurent
1 McPherson, Sanesha
1 Migliore, Juan Carlos
1 Molzahn, Daniel K.
1 Niemerg, Matthew E.
1 Ottem, John Christian
1 Pan, Victor Yakovlevich
1 Pessoa, Claudio
1 Pfister, Gerhard
1 Ranestad, Kristian
1 Schenck, Hal
1 Sertöz, Emre Can
1 Shu, Chi-Wang
1 Sidman, Jessica
1 Stillman, Michael Eugene
1 Szendrői, Balázs
1 Tripoli, Paolo
1 Vinzant, Cynthia
1 Xu, Zhiliang
1 Zhang, Yang

Publications by Year

Citations contained in zbMATH Open

71 Publications have been cited 798 times in 345 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
Regeneration homotopies for solving systems of polynomials. Zbl 1221.65121
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
37
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
34
2012
Algorithm 921: alphaCertified: certifying solutions to polynomial systems. Zbl 1365.65148
Hauenstein, Jonathan D.; Sottile, Frank
33
2012
Witness sets of projections. Zbl 1203.14072
Hauenstein, Jonathan D.; Sommese, Andrew J.
25
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
24
2012
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
22
2013
Algebraic boundaries of Hilbert’s SOS cones. Zbl 1273.13043
Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd
22
2012
Isosingular sets and deflation. Zbl 1276.65029
Hauenstein, Jonathan D.; Wampler, Charles W.
22
2013
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
Algebraic geometrization of the Kuramoto model: equilibria and stability analysis. Zbl 1374.34115
Mehta, Dhagash; Daleo, Noah S.; Dörfler, Florian; Hauenstein, Jonathan D.
21
2015
Stepsize control for path tracking. Zbl 1181.65071
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II
20
2009
A three-dimensional steady-state tumor system. Zbl 1238.92019
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
19
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.
19
2013
A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
19
2014
Efficient path tracking methods. Zbl 1230.65059
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
18
2011
Regenerative cascade homotopies for solving polynomial systems. Zbl 1231.65190
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
16
2011
Numerically computing real points on algebraic sets. Zbl 1269.65048
Hauenstein, Jonathan D.
15
2013
Maximum likelihood for matrices with rank constraints. Zbl 1345.62043
Hauenstein, Jonathan; Rodriguez, Jose Israel; Sturmfels, Bernd
13
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.
13
2014
Membership tests for images of algebraic sets by linear projections. Zbl 1285.14066
Hauenstein, Jonathan D.; Sommese, Andrew J.
12
2013
Equations for lower bounds on border rank. Zbl 1361.68098
Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M.
12
2013
Homotopy techniques for tensor decomposition and perfect identifiability. Zbl 1440.15019
Hauenstein, Jonathan D.; Oeding, Luke; Ottaviani, Giorgio; Sommese, Andrew J.
12
2019
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
Numerical elimination and moduli space of vacua. Zbl 1342.83004
Hauenstein, Jonathan; He, Yang-Hui; Mehta, Dhagash
9
2013
Certifying isolated singular points and their multiplicity structure. Zbl 1345.68286
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
8
2015
An a posteriori certification algorithm for Newton homotopies. Zbl 1325.65074
Hauenstein, Jonathan D.; Haywood, Ian; Liddell, Alan C. jun.
8
2014
Certified predictor-corrector tracking for Newton homotopies. Zbl 1329.65110
Hauenstein, Jonathan D.; Liddell, Alan C.
8
2016
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.
8
2013
Tensor decomposition and homotopy continuation. Zbl 1377.65057
Bernardi, Alessandra; Daleo, Noah S.; Hauenstein, Jonathan D.; Mourrain, Bernard
8
2017
Experiments on the zeros of harmonic polynomials using certified counting. Zbl 1365.30002
Hauenstein, J. D.; Lerario, A.; Lundberg, E.; Mehta, D.
6
2015
Numerically deciding the arithmetically Cohen-Macaulayness of a projective scheme. Zbl 1329.14108
Daleo, Noah S.; Hauenstein, Jonathan D.
6
2016
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
Real solutions to systems of polynomial equations and parameter continuation. Zbl 1309.65056
Griffin, Zachary A.; Hauenstein, Jonathan D.
5
2015
Mechanism mobility and a local dimension test. Zbl 1273.70004
Wampler, Charles W.; Hauenstein, Jonathan D.; Sommese, Andrew J.
5
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
On deflation and multiplicity structure. Zbl 1387.13063
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
5
2017
Numerical algebraic geometry: a new perspective on gauge and string theories. Zbl 1397.81271
Mehta, Dhagash; He, Yang-Hui; Hauenstein, Jonathan D.
5
2012
Unification and extension of intersection algorithms in numerical algebraic geometry. Zbl 1411.65075
Hauenstein, Jonathan D.; Wampler, Charles W.
5
2017
Numerically testing generically reduced projective schemes for the arithmetic Gorenstein property. Zbl 1460.14106
Daleo, Noah S.; Hauenstein, Jonathan D.
4
2016
Foreword. What is numerical algebraic geometry? Zbl 1360.00098
4
2017
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.
4
2018
A parallel endgame. Zbl 1238.14007
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
4
2011
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.
4
2014
Numerically intersecting algebraic varieties via witness sets. Zbl 1295.14054
Hauenstein, Jonathan D.; Wampler, Charles W.
4
2013
Certifying solutions to overdetermined and singular polynomial systems over \(\mathbb{Q}\). Zbl 1415.65121
Ayyildiz Akoglu, Tulay; Hauenstein, Jonathan D.; Szanto, Agnes
4
2018
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
Numerical computation of Galois groups. Zbl 1442.14186
Hauenstein, Jonathan D.; Rodriguez, Jose Israel; Sottile, Frank
4
2018
Complexity of linear circuits and geometry. Zbl 1345.68157
Gesmundo, Fulvio; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M.
3
2016
A primal-dual formulation for certifiable computations in Schubert calculus. Zbl 1360.14126
Hauenstein, Jonathan D.; Hein, Nickolas; Sottile, Frank
3
2016
Newton polytopes and witness sets. Zbl 1304.14077
Hauenstein, Jonathan D.; Sottile, Frank
3
2014
Computations and equations for Segre-Grassmann hypersurfaces. Zbl 1350.14034
Daleo, Noah S.; Hauenstein, Jonathan D.; Oeding, Luke
3
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.
3
2016
Global structure of curves from generalized unitarity cut of three-loop diagrams. Zbl 1388.81392
Hauenstein, Jonathan D.; Huang, Rijun; Mehta, Dhagash; Zhang, Yang
3
2015
Decomposing solution sets of polynomial systems using derivatives. Zbl 1434.14022
Brake, Daniel A.; Hauenstein, Jonathan D.; Liddell, Alan C. jun.
2
2016
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
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
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
Polynomials and the exponent of matrix multiplication. Zbl 1404.15020
Chiantini, Luca; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, Joseph M.; Ottaviani, Giorgio
2
2018
Adaptive strategies for solving parameterized systems using homotopy continuation. Zbl 1427.65086
Hauenstein, Jonathan D.; Regan, Margaret H.
2
2018
Numerical local irreducible decomposition. Zbl 1460.14131
Brake, Daniel A.; Hauenstein, Jonathan D.; Sommese, Andrew J.
1
2016
Certifying solutions to square systems of polynomial-exponential equations. Zbl 1357.14071
Hauenstein, Jonathan D.; Levandovskyy, Viktor
1
2017
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
A counter example to an ideal membership test. Zbl 1410.68411
Hauenstein, Jonathan D.
1
2010
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
Certifying reality of projections. Zbl 1396.14053
Hauenstein, Jonathan D.; Kulkarni, Avinash; Sertöz, Emre C.; Sherman, Samantha N.
1
2018
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.
1
2020
Multiprojective witness sets and a trace test. Zbl 1448.65054
Hauenstein, Jonathan D.; Rodriguez, Jose Israel
1
2020
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.
1
2020
Multiprojective witness sets and a trace test. Zbl 1448.65054
Hauenstein, Jonathan D.; Rodriguez, Jose Israel
1
2020
Homotopy techniques for tensor decomposition and perfect identifiability. Zbl 1440.15019
Hauenstein, Jonathan D.; Oeding, Luke; Ottaviani, Giorgio; Sommese, Andrew J.
12
2019
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.
4
2018
Certifying solutions to overdetermined and singular polynomial systems over \(\mathbb{Q}\). Zbl 1415.65121
Ayyildiz Akoglu, Tulay; Hauenstein, Jonathan D.; Szanto, Agnes
4
2018
Numerical computation of Galois groups. Zbl 1442.14186
Hauenstein, Jonathan D.; Rodriguez, Jose Israel; Sottile, Frank
4
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
Polynomials and the exponent of matrix multiplication. Zbl 1404.15020
Chiantini, Luca; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, Joseph M.; Ottaviani, Giorgio
2
2018
Adaptive strategies for solving parameterized systems using homotopy continuation. Zbl 1427.65086
Hauenstein, Jonathan D.; Regan, Margaret H.
2
2018
Certifying reality of projections. Zbl 1396.14053
Hauenstein, Jonathan D.; Kulkarni, Avinash; Sertöz, Emre C.; Sherman, Samantha N.
1
2018
Tensor decomposition and homotopy continuation. Zbl 1377.65057
Bernardi, Alessandra; Daleo, Noah S.; Hauenstein, Jonathan D.; Mourrain, Bernard
8
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
On deflation and multiplicity structure. Zbl 1387.13063
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
5
2017
Unification and extension of intersection algorithms in numerical algebraic geometry. Zbl 1411.65075
Hauenstein, Jonathan D.; Wampler, Charles W.
5
2017
Foreword. What is numerical algebraic geometry? Zbl 1360.00098
4
2017
Certifying solutions to square systems of polynomial-exponential equations. Zbl 1357.14071
Hauenstein, Jonathan D.; Levandovskyy, Viktor
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
Certified predictor-corrector tracking for Newton homotopies. Zbl 1329.65110
Hauenstein, Jonathan D.; Liddell, Alan C.
8
2016
Numerically deciding the arithmetically Cohen-Macaulayness of a projective scheme. Zbl 1329.14108
Daleo, Noah S.; Hauenstein, Jonathan D.
6
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.
3
2016
A primal-dual formulation for certifiable computations in Schubert calculus. Zbl 1360.14126
Hauenstein, Jonathan D.; Hein, Nickolas; Sottile, Frank
3
2016
Computations and equations for Segre-Grassmann hypersurfaces. Zbl 1350.14034
Daleo, Noah S.; Hauenstein, Jonathan D.; Oeding, Luke
3
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.
3
2016
Decomposing solution sets of polynomial systems using derivatives. Zbl 1434.14022
Brake, Daniel A.; Hauenstein, Jonathan D.; Liddell, Alan C. jun.
2
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.
21
2015
Certifying isolated singular points and their multiplicity structure. Zbl 1345.68286
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
8
2015
Experiments on the zeros of harmonic polynomials using certified counting. Zbl 1365.30002
Hauenstein, J. D.; Lerario, A.; Lundberg, E.; Mehta, D.
6
2015
Real solutions to systems of polynomial equations and parameter continuation. Zbl 1309.65056
Griffin, Zachary A.; Hauenstein, Jonathan D.
5
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
3
2015
A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
19
2014
Maximum likelihood for matrices with rank constraints. Zbl 1345.62043
Hauenstein, Jonathan; Rodriguez, Jose Israel; Sturmfels, Bernd
13
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.
13
2014
An a posteriori certification algorithm for Newton homotopies. Zbl 1325.65074
Hauenstein, Jonathan D.; Haywood, Ian; Liddell, Alan C. jun.
8
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.
4
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
Newton polytopes and witness sets. Zbl 1304.14077
Hauenstein, Jonathan D.; Sottile, Frank
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
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.
77
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
22
2013
Isosingular sets and deflation. Zbl 1276.65029
Hauenstein, Jonathan D.; Wampler, Charles W.
22
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.
19
2013
Numerically computing real points on algebraic sets. Zbl 1269.65048
Hauenstein, Jonathan D.
15
2013
Membership tests for images of algebraic sets by linear projections. Zbl 1285.14066
Hauenstein, Jonathan D.; Sommese, Andrew J.
12
2013
Equations for lower bounds on border rank. Zbl 1361.68098
Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M.
12
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
Numerical elimination and moduli space of vacua. Zbl 1342.83004
Hauenstein, Jonathan; He, Yang-Hui; Mehta, Dhagash
9
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.
8
2013
Numerically intersecting algebraic varieties via witness sets. Zbl 1295.14054
Hauenstein, Jonathan D.; Wampler, Charles W.
4
2013
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
34
2012
Algorithm 921: alphaCertified: certifying solutions to polynomial systems. Zbl 1365.65148
Hauenstein, Jonathan D.; Sottile, Frank
33
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
24
2012
Algebraic boundaries of Hilbert’s SOS cones. Zbl 1273.13043
Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd
22
2012
Numerical algebraic geometry: a new perspective on gauge and string theories. Zbl 1397.81271
Mehta, Dhagash; He, Yang-Hui; Hauenstein, Jonathan D.
5
2012
Regeneration homotopies for solving systems of polynomials. Zbl 1221.65121
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
37
2011
A three-dimensional steady-state tumor system. Zbl 1238.92019
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
19
2011
Efficient path tracking methods. Zbl 1230.65059
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
18
2011
Regenerative cascade homotopies for solving polynomial systems. Zbl 1231.65190
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
16
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
Mechanism mobility and a local dimension test. Zbl 1273.70004
Wampler, Charles W.; Hauenstein, Jonathan D.; Sommese, Andrew J.
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.
25
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.
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
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
49
2008
Adaptive multiprecision path tracking. Zbl 1162.65026
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler II, Charles W.
38
2008
all top 5

Cited by 477 Authors

46 Hauenstein, Jonathan D.
23 Hao, Wenrui
20 Sommese, Andrew John
14 Sottile, Frank
13 Hu, Bei
13 Rodriguez, Jose Israel
13 Sturmfels, Bernd
12 Bates, Daniel J.
11 Leykin, Anton
11 Wampler, Charles W. II
9 Peterson, Chris
8 Bernardi, Alessandra
8 Mehta, Dhagash
7 Eklund, David
7 He, Yang-Hui Evariste
7 Michałek, Mateusz
7 Wu, Wenyuan
6 Blekherman, Grigoriy
6 Landsberg, Joseph Montague
6 Zhang, Yongtao
5 Chen, Tianran
5 Di Rocco, Sandra
5 Helmer, Martin
5 Mourrain, Bernard
5 Niemerg, Matthew E.
4 Feng, Yong
4 Hein, Nickolas
4 Huang, Yaodan
4 Ikenmeyer, Christian
4 Krone, Robert
4 Lee, Tsung-Lin
4 Li, Tien-Yien
4 Safey El Din, Mohab
4 Szántó, Ágnes
4 Telen, Simon
4 Vázquez-Leal, Héctor
4 Verschelde, Jan
4 Wu, Junde
4 Zhang, Zhengce
3 Angelini, Elena
3 Ballico, Edoardo
3 Batselier, Kim
3 Chen, Changbo
3 Chen, Hongbin
3 Daleo, Noah S.
3 del Campo, Abraham Martín
3 Delabays, Robin
3 DeVille, Lee
3 Gross, Elizabeth
3 He, Yinnian
3 Jacquod, Philippe
3 Jejjala, Vishnu
3 Kubjas, Kaie
3 Liddell, Alan C. jun.
3 Lim, Lek-Heng
3 Matti, Cyril
3 Nelson, Brent D.
3 Oeding, Luke
3 Ottaviani, Giorgio Maria
3 Sertöz, Emre Can
3 Shu, Chi-Wang
3 Song, Huijuan
3 Townsend, Alex
3 Van Barel, Marc
3 Vinzant, Cynthia
3 Wang, Zejia
3 Weinstein, Madeleine
3 Xing, Ruixiang
3 Yin, Jianyuan
3 Yu, Bo
3 Zhang, Yarong
3 Zhao, Xinyue Evelyn
3 Zheng, Chunyue
3 Zhu, Jun
2 Améndola, Carlos
2 Arponen, Teijo
2 Ayyildiz Akoglu, Tulay
2 Beltrán, Carlos
2 Breiding, Paul
2 Brown, David A.
2 Brysiewicz, Taylor
2 Bullo, Francesco
2 Chen, Justin
2 Chen, Qipin
2 Cheng, Jinsan
2 Chiantini, Luca
2 Coletta, Tommaso
2 Davis, Brent R.
2 De Moor, Bart L. R.
2 Dong, Bo
2 Dou, Xiaojie
2 Dreesen, Philippe
2 Engquist, Bjorn E.
2 Faugère, Jean-Charles
2 Froese, Brittany D.
2 Galuppi, Francesco
2 Grochow, Joshua A.
2 Harrington, Heather A.
2 Heaton, Alexander
2 Henrion, Didier
...and 377 more Authors
all top 5

Cited in 125 Serials

34 Journal of Symbolic Computation
12 Applied Mathematics and Computation
12 Journal of Computational and Applied Mathematics
10 Mathematics of Computation
10 Chaos
10 Journal of High Energy Physics
9 Journal of Computational Physics
9 Journal of Scientific Computing
9 Foundations of Computational Mathematics
9 SIAM Journal on Applied Algebra and Geometry
8 Advances in Applied Mathematics
7 Numerical Algorithms
7 Experimental Mathematics
6 Journal of Differential Equations
6 Journal of Pure and Applied Algebra
5 Linear Algebra and its Applications
5 Mechanism and Machine Theory
5 Nonlinear Analysis. Real World Applications
5 Journal of Algebra and its Applications
5 Mathematics in Computer Science
4 Computers & Mathematics with Applications
4 Theoretical Computer Science
3 Journal of Mathematical Physics
3 Nonlinearity
3 Bulletin of Mathematical Biology
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 SIAM Journal on Scientific Computing
3 Advances in Geometry
3 Journal of Systems Science and Complexity
3 European Journal of Mathematics
2 Computers and Fluids
2 Journal of Mathematical Analysis and Applications
2 Linear and Multilinear Algebra
2 Advances in Mathematics
2 Automatica
2 Compositio Mathematica
2 Journal of Algebra
2 Journal für die Reine und Angewandte Mathematik
2 Numerische Mathematik
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Applied Numerical Mathematics
2 Journal of Complexity
2 Discrete & Computational Geometry
2 Applied Mathematics Letters
2 Journal of the American Mathematical Society
2 Differential Geometry and its Applications
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 Vietnam Journal of Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 SIAM Journal on Applied Dynamical Systems
2 Arnold Mathematical Journal
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 Mathematical Biology
1 Journal of Statistical Physics
1 Nuclear Physics. B
1 Physics Letters. 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 Computing
1 Journal of Economic Theory
1 Le Matematiche
1 Mathematica Scandinavica
1 Meccanica
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Acta Applicandae Mathematicae
1 Computer Aided Geometric Design
1 Physica D
1 Computational Geometry
1 IMRN. International Mathematics Research Notices
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Bulletin of the American Mathematical Society. New Series
1 Celestial Mechanics and Dynamical Astronomy
1 SIAM Journal on Optimization
1 Computational Complexity
1 Applied Mathematics. Series B (English Edition)
1 Numerical Linear Algebra with Applications
1 Mathematical Problems in Engineering
1 Revista Matemática Complutense
1 Journal of the European Mathematical Society (JEMS)
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
...and 25 more Serials
all top 5

Cited in 49 Fields

153 Numerical analysis (65-XX)
150 Algebraic geometry (14-XX)
64 Computer science (68-XX)
63 Commutative algebra (13-XX)
48 Partial differential equations (35-XX)
36 Biology and other natural sciences (92-XX)
31 Linear and multilinear algebra; matrix theory (15-XX)
25 Ordinary differential equations (34-XX)
17 Quantum theory (81-XX)
14 Convex and discrete geometry (52-XX)
14 Mechanics of particles and systems (70-XX)
13 Statistics (62-XX)
13 Operations research, mathematical programming (90-XX)
10 Combinatorics (05-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Fluid mechanics (76-XX)
9 Systems theory; control (93-XX)
7 Number theory (11-XX)
7 Field theory and polynomials (12-XX)
5 Functions of a complex variable (30-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Real functions (26-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Geometry (51-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Information and communication theory, circuits (94-XX)
3 Group theory and generalizations (20-XX)
3 Algebraic topology (55-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Probability theory and stochastic processes (60-XX)
3 Relativity and gravitational theory (83-XX)
2 Associative rings and algebras (16-XX)
2 Operator theory (47-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of deformable solids (74-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-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 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 Differential geometry (53-XX)
1 General topology (54-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year

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