Jan Verschelde

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 31

Top Topics

Polynomial Equations

Pruning Algorithm

Convolutional Neural Networks

Gpu Accelerated

Top Venues

IPDPS Workshops

Publications

Jan Verschelde, Kylash Viswanathan
Extrapolating Solution Paths of Polynomial Homotopies towards Singularities with PHCpack and phcpy. CoRR (2024)
Jan Verschelde, Kylash Viswanathan
Extrapolating Solution Paths of Polynomial Homotopies Towards Singularities with PHCpack and Phcpy. ICMS (2024)
Jan Verschelde, Kylash Viswanathan
Extrapolating on Taylor Series Solutions of Homotopies with Nearby Poles. CoRR (2024)
Jan Verschelde
GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision. CASC (2024)
Johnny Joyce, Jan Verschelde
Algebraic Representations for Faster Predictions in Convolutional Neural Networks. CASC (2024)
Jan Verschelde
GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision. CoRR (2023)
Jan Verschelde
Least Squares on GPUs in Multiple Double Precision. IPDPS Workshops (2022)
Jan Verschelde, Kylash Viswanathan
Locating the Closest Singularity in a Polynomial Homotopy. CASC (2022)
Jan Verschelde, Kylash Viswanathan
Locating the Closest Singularity in a Polynomial Homotopy. CoRR (2022)
Jan Verschelde
Exporting Ada Software to Python and Julia. CoRR (2022)
Jan Verschelde
Least Squares on GPUs in Multiple Double Precision. CoRR (2021)
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) (2021)
Jan Verschelde
Accelerated Polynomial Evaluation and Differentiation at Power Series in Multiple Double Precision. IPDPS Workshops (2021)
Jan Verschelde
Accelerated Polynomial Evaluation and Differentiation at Power Series in Multiple Double Precision. CoRR (2021)
Simon Telen, Marc Van Barel, Jan Verschelde
Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers. CoRR (2020)
Simon Telen, Marc Van Barel, Jan Verschelde
A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation. SIAM J. Sci. Comput. 42 (6) (2020)
Jan Verschelde
Parallel Software to Offset the Cost of Higher Precision. CoRR (2020)
Simon Telen, Marc Van Barel, Jan Verschelde
Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers. CASC (2020)
Jasmine Otto, Angus G. Forbes, Jan Verschelde
Solving Polynomial Systems with phcpy. SciPy (2019)
Jasmine Otto, Angus G. Forbes, Jan Verschelde
Solving Polynomial Systems with phcpy. CoRR (2019)
Simon Telen, Marc Van Barel, Jan Verschelde
A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation. CoRR (2019)
Jan Verschelde
A Blackbox Polynomial System Solver on Parallel Shared Memory Computers. CASC (2018)
Jan Verschelde
A Blackbox Polynomial System Solver on Parallel Shared Memory Computers. CoRR (2018)
Anders Nedergaard Jensen, Jeff Sommars, Jan Verschelde
Computing Tropical Prevarieties in Parallel. CoRR (2017)
Anders Nedergaard Jensen, Jeff Sommars, Jan Verschelde
Computing Tropical Prevarieties in Parallel. PASCO@ISSAC (2017)
Jan Verschelde, Stephen M. Watt, Lihong Zhi
TCS SNC Preface. Theor. Comput. Sci. 681 (2017)
Nathan Bliss, Jan Verschelde
Computing all Space Curve Solutions of Polynomial Systems by Polyhedral Methods. CoRR (2016)
Jeff Sommars, Jan Verschelde
Computing Pretropisms for the Cyclic n-Roots Problem. CoRR (2016)
Nathan Bliss, Jan Verschelde
Computing All Space Curve Solutions of Polynomial Systems by Polyhedral Methods. CASC (2016)
Nathan Bliss, Jan Verschelde
The Method of Gauss-Newton to Compute Power Series Solutions of Polynomial Homotopies. CoRR (2016)
Jeff Sommars, Jan Verschelde
Pruning Algorithms for Pretropisms of Newton Polytopes. CASC (2016)
Jan Verschelde, Xiangcheng Yu
Polynomial homotopy continuation on GPUs. ACM Commun. Comput. Algebra 49 (4) (2015)
Jan Verschelde, Xiangcheng Yu
Tracking Many Solution Paths of a Polynomial Homotopy on a Graphics Processing Unit. CoRR (2015)
Jan Verschelde, Xiangcheng Yu
Accelerating Polynomial Homotopy Continuation on a Graphics Processing Unit with Double Double and Quad Double Arithmetic. CoRR (2015)
Jeff Sommars, Jan Verschelde
Exact Gift Wrapping to Prune the Tree of Edges of Newton Polytopes to Compute Pretropisms. CoRR (2015)
Nathan Bliss, Jeff Sommars, Jan Verschelde, Xiangcheng Yu
Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation. CoRR (2015)
Jan Verschelde, Xiangcheng Yu
Accelerating polynomial homotopy continuation on a graphics processing unit with double double and quad double arithmetic. PASCO (2015)
Nathan Bliss, Jeff Sommars, Jan Verschelde, Xiangcheng Yu
Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation. CASC (2015)
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)
Jan Verschelde, Xiangcheng Yu
GPU acceleration of Newton's method for large systems of polynomial equations in double double and quad double arithmetic. CoRR (2014)
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)
Danko Adrovic, Jan Verschelde
Computing all Affine Solution Sets of Binomial Systems. CoRR (2014)
Jan Verschelde
Modernizing PHCpack through phcpy. CoRR (2013)
Jan Verschelde, Genady Yoffe
Orthogonalization on a General Purpose Graphics Processing Unit with Double Double and Quad Double Arithmetic. IPDPS Workshops (2013)
Danko Adrovic, Jan Verschelde
A Polyhedral Method to Compute All Affine Solution Sets of Sparse Polynomial Systems. CoRR (2013)
Danko Adrovic, Jan Verschelde
Polyhedral Methods for Space Curves Exploiting Symmetry Applied to the Cyclic n-roots Problem. CASC (2013)
Danko Adrovic, Jan Verschelde
Computing Puiseux Series for Algebraic Surfaces CoRR (2012)
Jan Verschelde, Genady Yoffe
Evaluating Polynomials in Several Variables and their Derivatives on a GPU Computing Processor. IPDPS Workshops (2012)
Jan Verschelde, Genady Yoffe
Evaluating polynomials in several variables and their derivatives on a GPU computing processor CoRR (2012)
Danko Adrovic, Jan Verschelde
Computing Puiseux series for algebraic surfaces. ISSAC (2012)
Jan Verschelde, Genady Yoffe
Orthogononalization on a general purpose graphics processing unit with double double and quad double arithmetic CoRR (2012)
Elizabeth Gross, Sonja Petrovic, Jan Verschelde
PHCpack in Macaulay2 CoRR (2011)
Yun Guan, Jan Verschelde
Sampling algebraic sets in local intrinsic coordinates. Comput. Math. Appl. 62 (10) (2011)
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) (2011)
Jan Verschelde, Genady Yoffe
Quality Up in Polynomial Homotopy Continuation by Multithreaded Path Tracking CoRR (2011)
Frank Sottile, Ravi Vakil, Jan Verschelde
Solving schubert problems with Littlewood-Richardson homotopies. ISSAC (2010)
Jan Verschelde, Genady Yoffe
Polynomial homotopies on multicore workstations. PASCO (2010)
Jan Verschelde
Polynomial homotopy continuation with PHCpack. ACM Commun. Comput. Algebra 44 (3/4) (2010)
Kathy Piret, Jan Verschelde
Sweeping algebraic curves for singular solutions. J. Comput. Appl. Math. 234 (4) (2010)
Anton Leykin, Jan Verschelde
Decomposing solution sets of polynomial systems: a new parallel monodromy breakup algorithm. Int. J. Comput. Sci. Eng. 4 (2) (2009)
Yun Guan, Jan Verschelde
Parallel Implementation of a Subsystem-by-Subsystem Solver. HPCS (2008)
Dario Andrea Bini, Victor Y. Pan, Jan Verschelde
Preface. Theor. Comput. Sci. 409 (2) (2008)
Anton Leykin, Jan Verschelde, Yan Zhuang
Parallel Homotopy Algorithms to Solve Polynomial Systems. ICMS (2006)
Ágnes Szántó, Jan Verschelde, Zhonggang Zeng
Symbolic-numeric computation and applications: list of abstracts. ACM Commun. Comput. Algebra 40 (1) (2006)
Jan Verschelde, Yan Zhuang
Parallel Implementation of the Polyhedral Homotopy Method. ICPP Workshops (2006)
Anton Leykin, Jan Verschelde
. ICMS (2006)
Anton Leykin, Jan Verschelde, Ailing Zhao
Newton's method with deflation for isolated singularities of polynomial systems. Theor. Comput. Sci. 359 (1-3) (2006)
Anton Leykin, Jan Verschelde
Factoring Solution Sets of Polynomial Systems in Parallel. ICPP Workshops (2005)
Greg Reid, Jan Verschelde, Allan D. Wittkopf, Wenyuan Wu
Symbolic-numeric completion of differential systems by homotopy continuation. ISSAC (2005)
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
An intrinsic homotopy for intersecting algebraic varieties. J. Complex. 21 (4) (2005)
Anton Leykin, Jan Verschelde
Decomposing Solution Sets of Polynomial Systems: A New Parallel Monodromy Breakup Algorithm CoRR (2005)
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
Homotopies for Intersecting Solution Components of Polynomial Systems. SIAM J. Numer. Anal. 42 (4) (2004)
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
Numerical factorization of multivariate complex polynomials. Theor. Comput. Sci. 315 (2-3) (2004)
Jan Verschelde
Numerical algebraic geometry and symbolic computation. ISSAC (2004)
Jan Verschelde, Yusong Wang
Computing Feedback Laws for Linear Systems with a Parallel Pieri Homotopy. ICPP Workshops (2004)
Jan Verschelde, Yusong Wang
Computing dynamic output feedback laws. IEEE Trans. Autom. Control. 49 (8) (2004)
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
Numerical Irreducible Decomposition Using PHCpack. Algebra, Geometry, and Software Systems (2003)
Greg Reid, Chris Smith, Jan Verschelde
Geometric completion of differential systems using numeric-symbolic continuation. SIGSAM Bull. 36 (2) (2002)
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems. SIAM J. Numer. Anal. 40 (6) (2002)
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) (2001)
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) (2000)
Andrew J. Sommese, Jan Verschelde
Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets. J. Complex. 16 (3) (2000)
Jan Verschelde
Toric Newton Method for Polynomial Homotopies. J. Symb. Comput. 29 (4-5) (2000)
Tangan Gao, T. Y. 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) (2000)
Jan Verschelde
Numerical Evidence for a Conjecture in Real Algebraic Geometry. Exp. Math. 9 (2) (2000)
T. Michiels, Jan Verschelde
Enumerating Regular Mixed-Cell Configurations. Discret. Comput. Geom. 21 (4) (1999)
Ioannis Z. Emiris, Jan Verschelde
How to Count Efficiently all Affine Roots of a Polynomial System. Discret. Appl. Math. 93 (1) (1999)
Jan Verschelde
Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation. ACM Trans. Math. Softw. 25 (2) (1999)
Birkett Huber, Jan Verschelde
Polyhedral end games for polynomial continuation. Numer. Algorithms 18 (1) (1998)
Jan Verschelde, Karin Gatermann, Ronald Cools
Mixed-Volume Computation by Dynamic Lifting Applied to Polynomial System Solving. Discret. Comput. Geom. 16 (1) (1996)
Jan Verschelde, Ann Haegemans
Homotopies for Solving Polynomial Systems Within a Bounded Domain. Theor. Comput. Sci. 133 (1) (1994)
Jan Verschelde, Ronald Cools
Symbolic Homotopy Construction. Appl. Algebra Eng. Commun. Comput. 4 (1993)