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2020 – today
- 2024
[c31]Johnny Joyce, Jan Verschelde:
Algebraic Representations for Faster Predictions in Convolutional Neural Networks. CASC 2024: 161-177- [c30]Jan Verschelde:
GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision. CASC 2024: 328-348 - [c29]Jan Verschelde, Kylash Viswanathan:
Extrapolating Solution Paths of Polynomial Homotopies Towards Singularities with PHCpack and Phcpy. ICMS 2024: 365-374 - [i31]Jan Verschelde, Kylash Viswanathan:
Extrapolating Solution Paths of Polynomial Homotopies towards Singularities with PHCpack and phcpy. CoRR abs/2403.14844 (2024) - [i30]Jan Verschelde, Kylash Viswanathan:
Extrapolating on Taylor Series Solutions of Homotopies with Nearby Poles. CoRR abs/2404.17681 (2024) - [i29]Johnny Joyce, Jan Verschelde:
Algebraic Representations for Faster Predictions in Convolutional Neural Networks. CoRR abs/2408.07815 (2024) - 2023
- [i28]Jan Verschelde:
GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision. CoRR abs/2301.12659 (2023) - 2022
- [c28]Jan Verschelde, Kylash Viswanathan:
Locating the Closest Singularity in a Polynomial Homotopy. CASC 2022: 333-352 - [c27]Jan Verschelde:
Least Squares on GPUs in Multiple Double Precision. IPDPS Workshops 2022: 828-837 - [i27]Jan Verschelde, Kylash Viswanathan:
Locating the Closest Singularity in a Polynomial Homotopy. CoRR abs/2205.07380 (2022) - [i26]Jan Verschelde:
Exporting Ada Software to Python and Julia. CoRR abs/2206.14270 (2022) - 2021
- [j31]Anton Leykin, Abraham Martín del Campo, Frank Sottile, Ravi Vakil, Jan Verschelde:
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm. Math. Comput. 90(329): 1407-1433 (2021) - [c26]Jan Verschelde:
Accelerated Polynomial Evaluation and Differentiation at Power Series in Multiple Double Precision. IPDPS Workshops 2021: 740-749 - [i25]Jan Verschelde:
Accelerated Polynomial Evaluation and Differentiation at Power Series in Multiple Double Precision. CoRR abs/2101.10881 (2021) - [i24]Jan Verschelde:
Least Squares on GPUs in Multiple Double Precision. CoRR abs/2110.08375 (2021) - 2020
- [j30]Simon Telen
, Marc Van Barel, Jan Verschelde:
A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation. SIAM J. Sci. Comput. 42(6): A3610-A3637 (2020) - [c25]Simon Telen, Marc Van Barel, Jan Verschelde:
Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers. CASC 2020: 563-582 - [i23]Simon Telen, Marc Van Barel, Jan Verschelde:
Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers. CoRR abs/2002.09504 (2020) - [i22]Jan Verschelde:
Parallel Software to Offset the Cost of Higher Precision. CoRR abs/2012.06607 (2020)
2010 – 2019
- 2019
- [c24]Jasmine Otto, Angus G. Forbes, Jan Verschelde:
Solving Polynomial Systems with phcpy. SciPy 2019: 62-68 - [i21]Jasmine Otto, Angus G. Forbes, Jan Verschelde:
Solving Polynomial Systems with phcpy. CoRR abs/1907.00096 (2019) - [i20]Simon Telen, Marc Van Barel, Jan Verschelde:
A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation. CoRR abs/1909.04984 (2019) - 2018
- [c23]Jan Verschelde:
A Blackbox Polynomial System Solver on Parallel Shared Memory Computers. CASC 2018: 361-375 - [i19]Jan Verschelde:
A Blackbox Polynomial System Solver on Parallel Shared Memory Computers. CoRR abs/1804.03807 (2018) - 2017
- [j29]Jan Verschelde, Stephen M. Watt, Lihong Zhi:
TCS SNC Preface. Theor. Comput. Sci. 681: 1-2 (2017) - [c22]Anders Nedergaard Jensen, Jeff Sommars, Jan Verschelde:
Computing Tropical Prevarieties in Parallel. PASCO@ISSAC 2017: 9:1-9:8 - [i18]Anders Nedergaard Jensen, Jeff Sommars, Jan Verschelde:
Computing Tropical Prevarieties in Parallel. CoRR abs/1705.00720 (2017) - 2016
- [c21]Nathan Bliss, Jan Verschelde:
Computing All Space Curve Solutions of Polynomial Systems by Polyhedral Methods. CASC 2016: 73-86 - [c20]Jeff Sommars, Jan Verschelde:
Pruning Algorithms for Pretropisms of Newton Polytopes. CASC 2016: 489-503 - [i17]Jeff Sommars, Jan Verschelde:
Computing Pretropisms for the Cyclic n-Roots Problem. CoRR abs/1602.07348 (2016) - [i16]Nathan Bliss, Jan Verschelde:
Computing all Space Curve Solutions of Polynomial Systems by Polyhedral Methods. CoRR abs/1606.05563 (2016) - [i15]Nathan Bliss, Jan Verschelde:
The Method of Gauss-Newton to Compute Power Series Solutions of Polynomial Homotopies. CoRR abs/1612.05313 (2016) - 2015
- [j28]Jan Verschelde, Xiangcheng Yu:
Polynomial homotopy continuation on GPUs. ACM Commun. Comput. Algebra 49(4): 130-133 (2015) - [c19]Jan Verschelde, Xiangcheng Yu:
Accelerating polynomial homotopy continuation on a graphics processing unit with double double and quad double arithmetic. PASCO 2015: 109-118 - [c18]Nathan Bliss, Jeff Sommars, Jan Verschelde, Xiangcheng Yu:
Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation. CASC 2015: 87-100 - [c17]Jan Verschelde, Xiangcheng Yu:
Tracking Many Solution Paths of a Polynomial Homotopy on a Graphics Processing Unit in Double Double and Quad Double Arithmetic. HPCC/CSS/ICESS 2015: 371-376 - [i14]Jan Verschelde, Xiangcheng Yu:
Accelerating Polynomial Homotopy Continuation on a Graphics Processing Unit with Double Double and Quad Double Arithmetic. CoRR abs/1501.06625 (2015) - [i13]Jan Verschelde, Xiangcheng Yu:
Tracking Many Solution Paths of a Polynomial Homotopy on a Graphics Processing Unit. CoRR abs/1505.00383 (2015) - [i12]Nathan Bliss, Jeff Sommars, Jan Verschelde, Xiangcheng Yu:
Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation. CoRR abs/1506.02618 (2015) - [i11]Jeff Sommars, Jan Verschelde:
Exact Gift Wrapping to Prune the Tree of Edges of Newton Polytopes to Compute Pretropisms. CoRR abs/1512.01594 (2015) - 2014
- [c16]Jan Verschelde, Xiangcheng Yu:
GPU Acceleration of Newton's Method for Large Systems of Polynomial Equations in Double Double and Quad Double Arithmetic. HPCC/CSS/ICESS 2014: 161-164 - [i10]Jan Verschelde, Xiangcheng Yu:
GPU acceleration of Newton's method for large systems of polynomial equations in double double and quad double arithmetic. CoRR abs/1402.2626 (2014) - [i9]Danko Adrovic, Jan Verschelde:
Computing all Affine Solution Sets of Binomial Systems. CoRR abs/1405.0320 (2014) - 2013
- [c15]Danko Adrovic, Jan Verschelde:
Polyhedral Methods for Space Curves Exploiting Symmetry Applied to the Cyclic n-roots Problem. CASC 2013: 10-29 - [c14]Jan Verschelde, Genady Yoffe:
Orthogonalization on a General Purpose Graphics Processing Unit with Double Double and Quad Double Arithmetic. IPDPS Workshops 2013: 1373-1380 - [i8]Jan Verschelde:
Modernizing PHCpack through phcpy. CoRR abs/1310.0056 (2013) - [i7]Danko Adrovic, Jan Verschelde:
A Polyhedral Method to Compute All Affine Solution Sets of Sparse Polynomial Systems. CoRR abs/1310.4128 (2013) - 2012
- [c13]Jan Verschelde, Genady Yoffe:
Evaluating Polynomials in Several Variables and their Derivatives on a GPU Computing Processor. IPDPS Workshops 2012: 1397-1405 - [c12]Danko Adrovic, Jan Verschelde:
Computing Puiseux series for algebraic surfaces. ISSAC 2012: 20-27 - [i6]Jan Verschelde, Genady Yoffe:
Evaluating polynomials in several variables and their derivatives on a GPU computing processor. CoRR abs/1201.0499 (2012) - [i5]Danko Adrovic, Jan Verschelde:
Computing Puiseux Series for Algebraic Surfaces. CoRR abs/1201.3401 (2012) - [i4]Jan Verschelde, Genady Yoffe:
Orthogononalization on a general purpose graphics processing unit with double double and quad double arithmetic. CoRR abs/1210.0800 (2012) - 2011
- [j27]Yun Guan, Jan Verschelde:
Sampling algebraic sets in local intrinsic coordinates. Comput. Math. Appl. 62(10): 3706-3721 (2011) - [j26]Danko Adrovic, Jan Verschelde:
Tropical algebraic geometry in Maple: A preprocessing algorithm for finding common factors for multivariate polynomials with approximate coefficients. J. Symb. Comput. 46(7): 755-772 (2011) - [i3]Elizabeth Gross, Sonja Petrovic, Jan Verschelde:
PHCpack in Macaulay2. CoRR abs/1105.4881 (2011) - [i2]Jan Verschelde, Genady Yoffe:
Quality Up in Polynomial Homotopy Continuation by Multithreaded Path Tracking. CoRR abs/1109.0545 (2011) - 2010
- [j25]Jan Verschelde:
Polynomial homotopy continuation with PHCpack. ACM Commun. Comput. Algebra 44(3/4): 217-220 (2010) - [j24]Kathy Piret, Jan Verschelde:
Sweeping algebraic curves for singular solutions. J. Comput. Appl. Math. 234(4): 1228-1237 (2010) - [c11]Jan Verschelde, Genady Yoffe:
Polynomial homotopies on multicore workstations. PASCO 2010: 131-140 - [c10]Frank Sottile, Ravi Vakil, Jan Verschelde:
Solving schubert problems with Littlewood-Richardson homotopies. ISSAC 2010: 179-186
2000 – 2009
- 2009
- [j23]Anton Leykin, Jan Verschelde:
Decomposing solution sets of polynomial systems: a new parallel monodromy breakup algorithm. Int. J. Comput. Sci. Eng. 4(2): 94-101 (2009) - 2008
- [j22]Dario Andrea Bini, Victor Y. Pan, Jan Verschelde:
Preface. Theor. Comput. Sci. 409(2): 155-157 (2008) - [c9]Yun Guan, Jan Verschelde:
Parallel Implementation of a Subsystem-by-Subsystem Solver. HPCS 2008: 117-123 - 2007
- [e1]Stephen M. Watt, Jan Verschelde:
Symbolic-Numeric Computation, SNC 2007, International Workshop, 25-27 July 2007, University of Western Ontario, London, Ontario, Canada. ACM 2007, ISBN 978-1-59593-744-5 [contents] - 2006
- [j21]Ágnes Szántó, Jan Verschelde, Zhonggang Zeng:
Symbolic-numeric computation and applications: list of abstracts. ACM Commun. Comput. Algebra 40(1): 15-17 (2006) - [j20]Anton Leykin, Jan Verschelde, Ailing Zhao:
Newton's method with deflation for isolated singularities of polynomial systems. Theor. Comput. Sci. 359(1-3): 111-122 (2006) - [c8]Anton Leykin, Jan Verschelde, Yan Zhuang:
Parallel Homotopy Algorithms to Solve Polynomial Systems. ICMS 2006: 225-234 - [c7]Anton Leykin, Jan Verschelde:
Interfacing with the Numerical Homotopy Algorithms in PHCpack. ICMS 2006: 354-360 - [c6]Jan Verschelde, Yan Zhuang:
Parallel Implementation of the Polyhedral Homotopy Method. ICPP Workshops 2006: 481-488 - 2005
- [j19]Andrew J. Sommese, Jan Verschelde, Charles W. Wampler:
An intrinsic homotopy for intersecting algebraic varieties. J. Complex. 21(4): 593-608 (2005) - [c5]Anton Leykin, Jan Verschelde:
Factoring Solution Sets of Polynomial Systems in Parallel. ICPP Workshops 2005: 173-180 - [c4]Greg Reid, Jan Verschelde, Allan D. Wittkopf, Wenyuan Wu:
Symbolic-numeric completion of differential systems by homotopy continuation. ISSAC 2005: 269-276 - [i1]Anton Leykin, Jan Verschelde:
Decomposing Solution Sets of Polynomial Systems: A New Parallel Monodromy Breakup Algorithm. CoRR abs/cs/0509067 (2005) - 2004
- [j18]Andrew J. Sommese, Jan Verschelde, Charles W. Wampler:
Homotopies for Intersecting Solution Components of Polynomial Systems. SIAM J. Numer. Anal. 42(4): 1552-1571 (2004) - [j17]Jan Verschelde, Yusong Wang:
Computing dynamic output feedback laws. IEEE Trans. Autom. Control. 49(8): 1393-1397 (2004) - [j16]Andrew J. Sommese, Jan Verschelde, Charles W. Wampler:
Numerical factorization of multivariate complex polynomials. Theor. Comput. Sci. 315(2-3): 651-669 (2004) - [c3]Jan Verschelde, Yusong Wang:
Computing Feedback Laws for Linear Systems with a Parallel Pieri Homotopy. ICPP Workshops 2004: 222-229 - [c2]Jan Verschelde:
Numerical algebraic geometry and symbolic computation. ISSAC 2004: 3 - 2003
- [c1]Andrew J. Sommese, Jan Verschelde, Charles W. Wampler:
Numerical Irreducible Decomposition Using PHCpack. Algebra, Geometry, and Software Systems 2003: 109-129 - 2002
- [j15]Greg Reid, Chris Smith, Jan Verschelde:
Geometric completion of differential systems using numeric-symbolic continuation. SIGSAM Bull. 36(2): 1-17 (2002) - [j14]Andrew J. Sommese, Jan Verschelde, Charles W. Wampler:
Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems. SIAM J. Numer. Anal. 40(6): 2026-2046 (2002) - 2001
- [j13]Andrew J. Sommese, Jan Verschelde, Charles W. Wampler:
Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components. SIAM J. Numer. Anal. 38(6): 2022-2046 (2001) - 2000
- [j12]Tangan Gao, Tien-Yien Li, Jan Verschelde, Mengnien Wu:
Balancing the lifting values to improve the numerical stability of polyhedral homotopy continuation methods. Appl. Math. Comput. 114(2-3): 233-247 (2000) - [j11]Jan Verschelde:
Numerical Evidence for a Conjecture in Real Algebraic Geometry. Exp. Math. 9(2): 183-196 (2000) - [j10]Andrew J. Sommese, Jan Verschelde:
Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets. J. Complex. 16(3): 572-602 (2000) - [j9]Jan Verschelde:
Toric Newton Method for Polynomial Homotopies. J. Symb. Comput. 29(4-5): 777-793 (2000) - [j8]Birkett Huber, Jan Verschelde:
Pieri Homotopies for Problems in Enumerative Geometry Applied to Pole Placement in Linear Systems Control. SIAM J. Control. Optim. 38(4): 1265-1287 (2000)
1990 – 1999
- 1999
- [j7]Ioannis Z. Emiris, Jan Verschelde:
How to Count Efficiently all Affine Roots of a Polynomial System. Discret. Appl. Math. 93(1): 21-32 (1999) - [j6]T. Michiels, Jan Verschelde:
Enumerating Regular Mixed-Cell Configurations. Discret. Comput. Geom. 21(4): 569-579 (1999) - [j5]Jan Verschelde:
Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation. ACM Trans. Math. Softw. 25(2): 251-276 (1999) - 1998
- [j4]Birkett Huber, Jan Verschelde:
Polyhedral end games for polynomial continuation. Numer. Algorithms 18(1): 91-108 (1998) - 1996
- [j3]Jan Verschelde, Karin Gatermann, Ronald Cools:
Mixed-Volume Computation by Dynamic Lifting Applied to Polynomial System Solving. Discret. Comput. Geom. 16(1): 69-112 (1996) - 1994
- [j2]Jan Verschelde, Ann Haegemans:
Homotopies for Solving Polynomial Systems Within a Bounded Domain. Theor. Comput. Sci. 133(1): 165-185 (1994) - 1993
- [j1]Jan Verschelde, Ronald Cools:
Symbolic Homotopy Construction. Appl. Algebra Eng. Commun. Comput. 4: 169-183 (1993)
Coauthor Index
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last updated on 2024-09-25 00:46 CEST by the dblp team
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