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Jonathan D. Hauenstein

◀ ▶ joint publications with Daniel J. Bates

> Home > Persons > Jonathan D. Hauenstein

Publications

2023
[i27]
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  - journals/corr/abs-2302-08585
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  - https://dblp.org/rec/journals/corr/abs-2302-08585
Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile:
Numerical Nonlinear Algebra. CoRR abs/2302.08585 (2023)
2021
[c23]
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  - conf/synasc/BatesEHP21
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Daniel J. Bates, David Eklund, Jonathan D. Hauenstein, Chris Peterson:
Excess intersections and numerical irreducible decompositions. SYNASC 2021: 52-60
2017
[j27]
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  - journals/toms/BrakeBHHSW17
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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)
[c11]
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  - conf/macis/BatesBHSW17
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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
[j22]
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  - journals/na/BatesHNS16
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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)
2015
[i7]
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  - journals/corr/BatesHNS15
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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]
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  - journals/amc/BatesDHPPSSW14
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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)
[c3]
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  - conf/icms/BrakeBHHSW14
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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]
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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
2013
[b1]
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  - books/daglib/0032895
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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
[j15]
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  - journals/em/BatesHMPS13
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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)
2011
[j4]
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  - journals/na/BatesHS11
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Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese:
Efficient path tracking methods. Numer. Algorithms 58(4): 451-459 (2011)
2009
[j2]
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  - journals/siamnum/BatesHPS09
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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]
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  - journals/siamnum/BatesHSWW08
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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)

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