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ORCIDJonathan 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] - [i29]Emma R. Cobian, Jonathan D. Hauenstein, Charles W. Wampler:
Robust Numerical Algebraic Geometry. CoRR abs/2403.18749 (2024) - [i28]Sophia J. Abraham, Jin Huang, Brandon RichardWebster, Michael Milford, Jonathan D. Hauenstein, Walter J. Scheirer:
Enhancing Ecological Monitoring with Multi-Objective Optimization: A Novel Dataset and Methodology for Segmentation Algorithms. CoRR abs/2408.06356 (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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