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Jonathan D. Hauenstein
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- affiliation: University of Notre Dame, USA
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2020 – today
- 2024
- [j53]Yu Wang, Emma R. Cobian, Jubilee Lee, Fang Liu, Jonathan D. Hauenstein, Daniele E. Schiavazzi:
LINFA: a Python library for variational inference with normalizing flow and annealing. J. Open Source Softw. 9(96): 6309 (2024) - [j52]Jonathan D. Hauenstein
, Tingting Tang:
On parametric semidefinite programming with unknown boundaries. J. Symb. Comput. 125: 102324 (2024) - [j51]Wenrui Hao, Jonathan D. Hauenstein, Margaret H. Regan
, Tingting Tang:
A Numerical Method for Solving Elliptic Equations on Real Closed Algebraic Curves and Surfaces. J. Sci. Comput. 99(2): 56 (2024) - [j50]Taylor Brysiewicz
, Jonathan D. Hauenstein, Caroline Hills:
Max-convolution through numerics and tropical geometry. Numer. Algorithms 96(2): 845-877 (2024) - [e1]Jonathan D. Hauenstein, Wen-shin Lee, Shaoshi Chen:
Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation, ISSAC 2024, Raleigh, NC, USA, July 16-19, 2024. ACM 2024 [contents] - [i28]Emma R. Cobian, Jonathan D. Hauenstein, Charles W. Wampler:
Robust Numerical Algebraic Geometry. CoRR abs/2403.18749 (2024) - 2023
- [j49]Edgar A. Bernal, Jonathan D. Hauenstein, Dhagash Mehta, Margaret H. Regan
, Tingting Tang
:
Machine learning the real discriminant locus. J. Symb. Comput. 115: 409-426 (2023) - [j48]Katherine Harris, Jonathan D. Hauenstein
, Ágnes Szántó:
Smooth points on semi-algebraic sets. J. Symb. Comput. 116: 183-212 (2023) - [j47]Jonathan D. Hauenstein, Yang-Hui He, Ilias S. Kotsireas, Dhagash Mehta, Tingting Tang:
Special issue on Algebraic Geometry and Machine Learning. J. Symb. Comput. 118: 93-94 (2023) - [j46]Ricardo Fabbri
, Timothy Duff
, Hongyi Fan, Margaret H. Regan
, David da Costa de Pinho
, Elias P. Tsigaridas, Charles W. Wampler
, Jonathan D. Hauenstein
, Peter J. Giblin, Benjamin B. Kimia, Anton Leykin
, Tomás Pajdla:
Trifocal Relative Pose From Lines at Points. IEEE Trans. Pattern Anal. Mach. Intell. 45(6): 7870-7884 (2023) - [j45]Sandra Di Rocco, Parker B. Edwards
, David Eklund, Oliver Gäfvert, Jonathan D. Hauenstein
:
Computing Geometric Feature Sizes for Algebraic Manifolds. SIAM J. Appl. Algebra Geom. 7(4): 716-741 (2023) - [c27]Sophia J. Abraham, Kehelwala Dewage Gayan Maduranga, Jeffery Kinnison, Jonathan D. Hauenstein, Walter J. Scheirer:
NCQS: Nonlinear Convex Quadrature Surrogate Hyperparameter Optimization. ICCV (Workshops) 2023: 1187-1195 - [c26]Parker B. Edwards
, Aravind Baskar, Caroline Hills, Mark M. Plecnik, Jonathan D. Hauenstein:
Output Mode Switching for Parallel Five-bar Manipulators Using a Graph-based Path Planner. ICRA 2023: 9735-9741 - [i27]Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile:
Numerical Nonlinear Algebra. CoRR abs/2302.08585 (2023) - [i26]Taylor Brysiewicz, Jonathan D. Hauenstein, Caroline Hills:
Max-convolution through numerics and tropical geometry. CoRR abs/2306.11506 (2023) - [i25]Yu Wang, Emma R. Cobian, Jubilee Lee, Fang Liu, Jonathan D. Hauenstein, Daniele E. Schiavazzi:
LINFA: a Python library for variational inference with normalizing flow and annealing. CoRR abs/2307.04675 (2023) - [i24]Sophia J. Abraham, Kehelwala D. G. Maduranga, Jeffery Kinnison, Zachariah Carmichael, Jonathan D. Hauenstein, Walter J. Scheirer:
HomOpt: A Homotopy-Based Hyperparameter Optimization Method. CoRR abs/2308.03317 (2023) - [i23]Wenrui Hao
, Jonathan D. Hauenstein, Margaret H. Regan, Tingting Tang:
A numerical method for solving elliptic equations on real closed algebraic curves and surfaces. CoRR abs/2311.09866 (2023) - 2022
- [j44]Jonathan D. Hauenstein, Martin Helmer
:
Probabilistic Saturations and Alt's Problem. Exp. Math. 31(3): 975-987 (2022) - [j43]Jonathan D. Hauenstein
, Ali Mohammad Nezhad
, Tingting Tang
, Tamás Terlaky
:
On Computing the Nonlinearity Interval in Parametric Semidefinite Optimization. Math. Oper. Res. 47(4): 2989-3009 (2022) - [j42]Dhagash Mehta, Tianran Chen
, Tingting Tang
, Jonathan D. Hauenstein
:
The Loss Surface of Deep Linear Networks Viewed Through the Algebraic Geometry Lens. IEEE Trans. Pattern Anal. Mach. Intell. 44(9): 5664-5680 (2022) - [c25]Aravind Baskar
, Mark M. Plecnik, Jonathan D. Hauenstein
:
Finding Straight Line Generators Through the Approximate Synthesis of Symmetric Four-Bar Coupler Curves. ARK 2022: 277-285 - [i22]Emma R. Cobian, Jonathan D. Hauenstein, Fang Liu, Daniele E. Schiavazzi:
AdaAnn: Adaptive Annealing Scheduler for Probability Density Approximation. CoRR abs/2202.00792 (2022) - [i21]Cinzia Bisi, Jonathan D. Hauenstein, Tuyen Trung Truong:
Some interesting birational morphisms of smooth affine quadric 3-folds. CoRR abs/2208.14327 (2022) - [i20]Sandra Di Rocco, Parker B. Edwards, David Eklund, Oliver Gäfvert, Jonathan D. Hauenstein:
Computing geometric feature sizes for algebraic manifolds. CoRR abs/2209.01654 (2022) - [i19]Parker B. Edwards, Aravind Baskar, Caroline Hills, Mark M. Plecnik, Jonathan D. Hauenstein:
Output Mode Switching for Parallel Five-bar Manipulators Using a Graph-based Path Planner. CoRR abs/2209.10743 (2022) - 2021
- [j41]Emilie Dufresne, Heather A. Harrington, Jonathan D. Hauenstein
, Panayotis G. Kevrekidis, Paolo Tripoli:
On some configurations of oppositely charged trapped vortices in the plane. Adv. Appl. Math. 124: 102099 (2021) - [j40]Jonathan D. Hauenstein, Mohab Safey El Din, Éric Schost, Thi Xuan Vu:
Solving determinantal systems using homotopy techniques. J. Symb. Comput. 104: 754-804 (2021) - [j39]Jonathan D. Hauenstein
, Anton Leykin, Jose Israel Rodriguez, Frank Sottile:
A numerical toolkit for multiprojective varieties. Math. Comput. 90(327): 413-440 (2021) - [c24]Aravind Baskar
, Chang Liu, Mark M. Plecnik, Jonathan D. Hauenstein
:
Designing Rotary Linkages for Polar Motions. IROS 2021: 1384-1391 - [c23]Daniel J. Bates, David Eklund, Jonathan D. Hauenstein, Chris Peterson:
Excess intersections and numerical irreducible decompositions. SYNASC 2021: 52-60 - [i18]Parker B. Edwards, Jonathan D. Hauenstein, Clifford D. Smyth:
Certified evaluations of Hölder continuous functions at roots of polynomials. CoRR abs/2102.00115 (2021) - 2020
- [j38]Jonathan D. Hauenstein
, Margaret H. Regan
:
Real monodromy action. Appl. Math. Comput. 373: 124983 (2020) - [j37]Katherine Harris, Jonathan D. Hauenstein, Ágnes Szántó:
Smooth points on semi-algebraic sets. ACM Commun. Comput. Algebra 54(3): 105-108 (2020) - [c22]Ricardo Fabbri, Timothy Duff
, Hongyi Fan, Margaret H. Regan
, David da Costa de Pinho, Elias P. Tsigaridas, Charles W. Wampler
, Jonathan D. Hauenstein, Peter J. Giblin, Benjamin B. Kimia, Anton Leykin, Tomás Pajdla:
TRPLP - Trifocal Relative Pose From Lines at Points. CVPR 2020: 12070-12080 - [c21]Jonathan D. Hauenstein, Margaret H. Regan
:
Evaluating and Differentiating a Polynomial Using a Pseudo-witness Set. ICMS 2020: 61-69 - [c20]Jonathan D. Hauenstein, Samantha N. Sherman:
Using Monodromy to Statistically Estimate the Number of Solutions. IMAMR 2020: 37-46 - [c19]Parker B. Edwards
, Jonathan D. Hauenstein
, Clifford D. Smyth
:
Certified Evaluations of Hölder Continuous Functions at Roots of Polynomials. MC 2020: 185-203 - [i17]Katherine Harris, Jonathan D. Hauenstein, Ágnes Szántó:
Smooth Points on Semi-algebraic Sets. CoRR abs/2002.04707 (2020) - [i16]Jonathan D. Hauenstein, Samantha N. Sherman:
Using monodromy to statistically estimate the number of solutions. CoRR abs/2005.00327 (2020) - [i15]Edgar A. Bernal, Jonathan D. Hauenstein, Dhagash Mehta, Margaret H. Regan, Tingting Tang:
Machine learning the real discriminant locus. CoRR abs/2006.14078 (2020)
2010 – 2019
- 2019
- [j36]Danielle A. Brake
, Jonathan D. Hauenstein, Frank-Olaf Schreyer, Andrew J. Sommese, Michael Eugene Stillman:
Singular Value Decomposition of Complexes. SIAM J. Appl. Algebra Geom. 3(3): 507-522 (2019) - [c18]Emilie Dufresne, Parker B. Edwards
, Heather A. Harrington, Jonathan D. Hauenstein
:
Sampling Real Algebraic Varieties for Topological Data Analysis. ICMLA 2019: 1531-1536 - [c17]Heather A. Harrington, Dhagash Mehta, Helen M. Byrne
, Jonathan D. Hauenstein:
Decomposing the Parameter Space of Biological Networks via a Numerical Discriminant Approach. MC 2019: 114-131 - [c16]Jonathan D. Hauenstein:
Using Numerical Insights to Improve Symbolic Computations. SYNASC 2019: 11-16 - [c15]Danielle A. Brake, Noah S. Daleo, Jonathan D. Hauenstein, Samantha N. Sherman:
Solving Critical Point Conditions for the Hamming and Taxicab Distances to Solution Sets of Polynomial Equations. SYNASC 2019: 51-58 - [i14]Ricardo Fabbri, Timothy Duff, Hongyi Fan, Margaret H. Regan, David da Costa de Pinho, Elias P. Tsigaridas, Charles Wrampler, Jonathan D. Hauenstein, Benjamin B. Kimia, Anton Leykin, Tomás Pajdla:
Trifocal Relative Pose from Lines at Points and its Efficient Solution. CoRR abs/1903.09755 (2019) - [i13]Jonathan D. Hauenstein, Martin Helmer
:
Probabilistic Saturations and Alt's Problem. CoRR abs/1908.06020 (2019) - 2018
- [j35]Jonathan D. Hauenstein
, Margaret H. Regan
:
Adaptive strategies for solving parameterized systems using homotopy continuation. Appl. Math. Comput. 332: 19-34 (2018) - [j34]Jonathan D. Hauenstein, Jose Israel Rodriguez, Frank Sottile:
Numerical Computation of Galois Groups. Found. Comput. Math. 18(4): 867-890 (2018) - [j33]Tulay Ayyildiz Akoglu, Jonathan D. Hauenstein, Ágnes Szántó:
Certifying solutions to overdetermined and singular polynomial systems over ℚ. J. Symb. Comput. 84: 147-171 (2018) - [j32]Owen Coss, Jonathan D. Hauenstein
, Hoon Hong, Daniel K. Molzahn:
Locating and Counting Equilibria of the Kuramoto Model with Rank-One Coupling. SIAM J. Appl. Algebra Geom. 2(1): 45-71 (2018) - [j31]Jonathan D. Hauenstein, Samantha N. Sherman, Charles W. Wampler
:
Exceptional Stewart-Gough Platforms, Segre Embeddings, and the Special Euclidean Group. SIAM J. Appl. Algebra Geom. 2(1): 179-205 (2018) - [c14]Jonathan D. Hauenstein, Avinash Kulkarni, Emre Can Sertöz
, Samantha N. Sherman:
Certifying Reality of Projections. ICMS 2018: 200-208 - [c13]Danielle A. Brake, Jonathan D. Hauenstein, Margaret H. Regan
:
polyTop: Software for Computing Topology of Smooth Real Surfaces. ICMS 2018: 397-404 - [i12]Shaunak D. Bopardikar, Dhagash Mehta, Jonathan D. Hauenstein:
Optimal Configurations in Coverage Control with Polynomial Costs. CoRR abs/1801.10285 (2018) - [i11]Jonathan D. Hauenstein, Mohab Safey El Din, Éric Schost, Thi Xuan Vu:
Solving determinantal systems using homotopy techniques. CoRR abs/1802.10409 (2018) - [i10]Dhagash Mehta, Tianran Chen, Tingting Tang, Jonathan D. Hauenstein:
The loss surface of deep linear networks viewed through the algebraic geometry lens. CoRR abs/1810.07716 (2018) - 2017
- [j30]Jonathan D. Hauenstein
, Charles W. Wampler
:
Unification and extension of intersection algorithms in numerical algebraic geometry. Appl. Math. Comput. 293: 226-243 (2017) - [j29]Adam Mahdi, Claudio Gomes Pessoa
, Jonathan D. Hauenstein:
A hybrid symbolic-numerical approach to the center-focus problem. J. Symb. Comput. 82: 57-73 (2017) - [j28]Jonathan D. Hauenstein
, Bernard Mourrain, Ágnes Szántó:
On deflation and multiplicity structure. J. Symb. Comput. 83: 228-253 (2017) - [j27]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): 10:1-10:30 (2017) - [c12]Jonathan D. Hauenstein:
Certification Using Newton-Invariant Subspaces. MACIS 2017: 34-50 - [c11]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: 107-120 - 2016
- [j26]Fulvio Gesmundo, Jonathan D. Hauenstein, Christian Ikenmeyer, J. M. Landsberg:
Complexity of Linear Circuits and Geometry. Found. Comput. Math. 16(3): 599-635 (2016) - [j25]Jonathan D. Hauenstein, Nickolas Hein, Frank Sottile:
A Primal-Dual Formulation for Certifiable Computations in Schubert Calculus. Found. Comput. Math. 16(4): 941-963 (2016) - [j24]Noah S. Daleo, Jonathan D. Hauenstein:
Numerically deciding the arithmetically Cohen-Macaulayness of a projective scheme. J. Symb. Comput. 72: 128-146 (2016) - [j23]Jonathan D. Hauenstein, Alan C. Liddell Jr.:
Certified predictor-corrector tracking for Newton homotopies. J. Symb. Comput. 74: 239-254 (2016) - [j22]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): 281-304 (2016) - [c10]Daniel A. Brake
, Jonathan D. Hauenstein, Alan C. Liddell Jr.:
Decomposing Solution Sets of Polynomial Systems Using Derivatives. ICMS 2016: 127-135 - [c9]Daniel A. Brake
, Jonathan D. Hauenstein, Alan C. Liddell Jr.:
Validating the Completeness of the Real Solution Set of a System of Polynomial Equations. ISSAC 2016: 143-150 - [i9]Daniel A. Brake, Jonathan D. Hauenstein, Alan C. Liddell Jr.:
Numerically validating the completeness of the real solution set of a system of polynomial equations. CoRR abs/1602.00700 (2016) - [i8]Daniel K. Molzahn, Matthew E. Niemerg, Dhagash Mehta, Jonathan D. Hauenstein:
Investigating the Maximum Number of Real Solutions to the Power Flow Equations: Analysis of Lossless Four-Bus Systems. CoRR abs/1603.05908 (2016) - 2015
- [j21]Jonathan D. Hauenstein
, Antonio Lerario
, Erik Lundberg, Dhagash Mehta:
Experiments on the Zeros of Harmonic Polynomials Using Certified Counting. Exp. Math. 24(2): 133-141 (2015) - [c8]Jonathan D. Hauenstein, Alan C. Liddell Jr.:
A hybrid symbolic-numeric approach to exceptional sets of generically zero-dimensional systems. PASCO 2015: 53-60 - [c7]Jonathan D. Hauenstein, Bernard Mourrain, Ágnes Szántó:
Certifying Isolated Singular Points and their Multiplicity Structure. ISSAC 2015: 213-220 - [c6]Daniel A. Brake
, Jonathan D. Hauenstein, Andrew J. Sommese:
Numerical Local Irreducible Decomposition. MACIS 2015: 124-129 - [c5]Noah S. Daleo, Jonathan D. Hauenstein:
Numerically Testing Generically Reduced Projective Schemes for the Arithmetic Gorenstein Property. MACIS 2015: 137-142 - [i7]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 abs/1505.05241 (2015) - 2014
- [j20]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: 619-633 (2014) - [j19]Wenrui Hao
, Jonathan D. Hauenstein
, Bei Hu
, Andrew J. Sommese:
A bootstrapping approach for computing multiple solutions of differential equations. J. Comput. Appl. Math. 258: 181-190 (2014) - [j18]Jonathan D. Hauenstein, Frank Sottile:
Newton Polytopes and Witness Sets. Math. Comput. Sci. 8(2): 235-251 (2014) - [c4]Jonathan D. Hauenstein, Victor Y. Pan, Ágnes Szántó:
A Note on Global Newton Iteration Over Archimedean and Non-Archimedean Fields. CASC 2014: 202-217 - [c3]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: 175-182 - [c2]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: 246-252 - [c1]Jonathan D. Hauenstein, Ian Haywood, Alan C. Liddell Jr.:
An a posteriori certification algorithm for Newton homotopies. ISSAC 2014: 248-255 - [i6]Jonathan D. Hauenstein, Victor Y. Pan, Ágnes Szántó:
Global Newton Iteration over Archimedean and non-Archimedean Fields. CoRR abs/1404.5525 (2014) - [i5]Tulay Ayyildiz Akoglu, Jonathan D. Hauenstein, Ágnes Szántó:
Certifying solutions to overdetermined and singular polynomial systems over Q. CoRR abs/1408.2721 (2014) - [i4]Joseph Cleveland, Jeffrey Dzugan, Jonathan D. Hauenstein, Ian Haywood, Dhagash Mehta, Anthony Morse, Leonardo Robol
, Taylor Schlenk:
Certified counting of roots of random univariate polynomials. CoRR abs/1412.1717 (2014) - 2013
- [b1]Daniel J. Bates, Andrew J. Sommese, Jonathan D. Hauenstein, Charles W. Wampler:
Numerically Solving Polynomial Systems with Bertini. Software, environments, tools 25, SIAM 2013, ISBN 978-1-611972-69-6, pp. I-XX, 1-352 - [j17]Jonathan D. Hauenstein
, Charles W. Wampler
:
Numerically intersecting algebraic varieties via witness sets. Appl. Math. Comput. 219(10): 5730-5742 (2013) - [j16]Jonathan D. Hauenstein
, Andrew J. Sommese:
Membership tests for images of algebraic sets by linear projections. Appl. Math. Comput. 219(12): 6809-6818 (2013) - [j15]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): 38-50 (2013) - [j14]Jonathan D. Hauenstein
, Christian Ikenmeyer, J. M. Landsberg:
Equations for Lower Bounds on Border Rank. Exp. Math. 22(4): 372-383 (2013) - [j13]Jonathan D. Hauenstein
, Charles W. Wampler
:
Isosingular Sets and Deflation. Found. Comput. Math. 13(3): 371-403 (2013) - [j12]Wenrui Hao
, Jonathan D. Hauenstein
, Bei Hu
, Timothy M. McCoy, Andrew J. Sommese:
Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. J. Comput. Appl. Math. 237(1): 326-334 (2013) - [j11]Wenrui Hao
, Jonathan D. Hauenstein
, Chi-Wang Shu
, Andrew J. Sommese, Zhiliang Xu, Yong-Tao Zhang:
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. J. Comput. Phys. 250: 332-346 (2013) - [j10]Gian Mario Besana, Sandra Di Rocco, Jonathan D. Hauenstein
, Andrew J. Sommese, Charles W. Wampler
:
Cell decomposition of almost smooth real algebraic surfaces. Numer. Algorithms 63(4): 645-678 (2013) - [i3]Jonathan D. Hauenstein, Christian Ikenmeyer, J. M. Landsberg:
Computer aided methods for lower bounds on the border rank. CoRR abs/1305.0779 (2013) - [i2]Fulvio Gesmundo, Jonathan D. Hauenstein, Christian Ikenmeyer, J. M. Landsberg:
Complexity of linear circuits and geometry. CoRR abs/1310.1362 (2013) - 2012
- [j9]Wenrui Hao
, Jonathan D. Hauenstein
, Bei Hu
, Yuan Liu, Andrew J. Sommese, Yong-Tao Zhang:
Continuation Along Bifurcation Branches for a Tumor Model with a Necrotic Core. J. Sci. Comput. 53(2): 395-413 (2012) - [j8]Jonathan D. Hauenstein
, Frank Sottile:
Algorithm 921: alphaCertified: Certifying Solutions to Polynomial Systems. ACM Trans. Math. Softw. 38(4): 28:1-28:20 (2012) - 2011
- [j7]Jonathan D. Hauenstein
, Andrew J. Sommese, Charles W. Wampler
:
Regenerative cascade homotopies for solving polynomial systems. Appl. Math. Comput. 218(4): 1240-1246 (2011) - [j6]Wenrui Hao
, Jonathan D. Hauenstein
, Bei Hu
, Andrew J. Sommese:
A three-dimensional steady-state tumor system. Appl. Math. Comput. 218(6): 2661-2669 (2011) - [j5]Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler:
Regeneration homotopies for solving systems of polynomials. Math. Comput. 80(273): 345-377 (2011) - [j4]Daniel J. Bates, Jonathan D. Hauenstein
, Andrew J. Sommese:
Efficient path tracking methods. Numer. Algorithms 58(4): 451-459 (2011) - 2010
- [j3]Jonathan D. Hauenstein
, Andrew J. Sommese:
Witness sets of projections. Appl. Math. Comput. 217(7): 3349-3354 (2010) - [i1]Jonathan D. Hauenstein, Frank Sottile:
alphaCertified: certifying solutions to polynomial systems. CoRR abs/1011.1091 (2010)
2000 – 2009
- 2009
- [j2]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): 3608-3623 (2009) - 2008
- [j1]Daniel J. Bates, Jonathan D. Hauenstein
, Andrew J. Sommese, Charles W. Wampler
:
Adaptive Multiprecision Path Tracking. SIAM J. Numer. Anal. 46(2): 722-746 (2008)
Coauthor Index
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