Jan Verschelde

According to our database, Jan Verschelde authored at least 75 papers between 1993 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

Extrapolating on Taylor Series Solutions of Homotopies with Nearby Poles.

Jan Verschelde, Kylash Viswanathan

CoRR, 2024

Extrapolating Solution Paths of Polynomial Homotopies Towards Singularities with PHCpack and Phcpy.

Jan Verschelde, Kylash Viswanathan

Proceedings of the Mathematical Software - ICMS 2024, 2024

GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision.

Jan Verschelde

Proceedings of the Computer Algebra in Scientific Computing - 26th International Workshop, 2024

Algebraic Representations for Faster Predictions in Convolutional Neural Networks.

Johnny Joyce, Jan Verschelde

Proceedings of the Computer Algebra in Scientific Computing - 26th International Workshop, 2024

2022

Exporting Ada Software to Python and Julia.

Jan Verschelde

CoRR, 2022

Least Squares on GPUs in Multiple Double Precision.

Jan Verschelde

Proceedings of the IEEE International Parallel and Distributed Processing Symposium, 2022

Locating the Closest Singularity in a Polynomial Homotopy.

Jan Verschelde, Kylash Viswanathan

Proceedings of the Computer Algebra in Scientific Computing - 24th International Workshop, 2022

2021

Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm.

Anton Leykin, Abraham Martín del Campo, Frank Sottile, Ravi Vakil, Jan Verschelde

Math. Comput., 2021

Accelerated Polynomial Evaluation and Differentiation at Power Series in Multiple Double Precision.

Jan Verschelde

Proceedings of the IEEE International Parallel and Distributed Processing Symposium Workshops, 2021

2020

A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation.

Simon Telen, Marc Van Barel, Jan Verschelde

SIAM J. Sci. Comput., 2020

Parallel Software to Offset the Cost of Higher Precision.

Jan Verschelde

CoRR, 2020

Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers.

Simon Telen, Marc Van Barel, Jan Verschelde

Proceedings of the Computer Algebra in Scientific Computing - 22nd International Workshop, 2020

2019

Solving Polynomial Systems with phcpy.

Jasmine Otto, Angus G. Forbes, Jan Verschelde

Proceedings of the 18th Python in Science Conference 2019 (SciPy 2019), Austin, Texas, July 8, 2019

2018

A Blackbox Polynomial System Solver on Parallel Shared Memory Computers.

Jan Verschelde

Proceedings of the Computer Algebra in Scientific Computing - 20th International Workshop, 2018

2017

TCS SNC Preface.

Jan Verschelde, Stephen M. Watt, Lihong Zhi

Theor. Comput. Sci., 2017

Computing Tropical Prevarieties in Parallel.

Anders Nedergaard Jensen, Jeff Sommars, Jan Verschelde

Proceedings of the International Workshop on Parallel Symbolic Computation, 2017

2016

Computing Pretropisms for the Cyclic n-Roots Problem.

Jeff Sommars, Jan Verschelde

CoRR, 2016

The Method of Gauss-Newton to Compute Power Series Solutions of Polynomial Homotopies.

Nathan Bliss, Jan Verschelde

CoRR, 2016

Pruning Algorithms for Pretropisms of Newton Polytopes.

Jeff Sommars, Jan Verschelde

Proceedings of the Computer Algebra in Scientific Computing - 18th International Workshop, 2016

Computing All Space Curve Solutions of Polynomial Systems by Polyhedral Methods.

Nathan Bliss, Jan Verschelde

Proceedings of the Computer Algebra in Scientific Computing - 18th International Workshop, 2016

2015

Tracking Many Solution Paths of a Polynomial Homotopy on a Graphics Processing Unit.

Jan Verschelde, Xiangcheng Yu

CoRR, 2015

Exact Gift Wrapping to Prune the Tree of Edges of Newton Polytopes to Compute Pretropisms.

Jeff Sommars, Jan Verschelde

CoRR, 2015

Polynomial homotopy continuation on GPUs.

Jan Verschelde, Xiangcheng Yu

ACM Commun. Comput. Algebra, 2015

Tracking Many Solution Paths of a Polynomial Homotopy on a Graphics Processing Unit in Double Double and Quad Double Arithmetic.

Jan Verschelde, Xiangcheng Yu

Proceedings of the 17th IEEE International Conference on High Performance Computing and Communications, 2015

Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation.

Nathan Bliss, Jeff Sommars, Jan Verschelde, Xiangcheng Yu

Proceedings of the Computer Algebra in Scientific Computing - 17th International Workshop, 2015

Accelerating polynomial homotopy continuation on a graphics processing unit with double double and quad double arithmetic.

Jan Verschelde, Xiangcheng Yu

Proceedings of the 2015 International Workshop on Parallel Symbolic Computation, 2015

2014

Computing all Affine Solution Sets of Binomial Systems.

Danko Adrovic, Jan Verschelde

CoRR, 2014

GPU Acceleration of Newton's Method for Large Systems of Polynomial Equations in Double Double and Quad Double Arithmetic.

Jan Verschelde, Xiangcheng Yu

Proceedings of the 2014 IEEE International Conference on High Performance Computing and Communications, 2014

2013

Modernizing PHCpack through phcpy.

Jan Verschelde

CoRR, 2013

A Polyhedral Method to Compute All Affine Solution Sets of Sparse Polynomial Systems.

Danko Adrovic, Jan Verschelde

CoRR, 2013

Orthogonalization on a General Purpose Graphics Processing Unit with Double Double and Quad Double Arithmetic.

Jan Verschelde, Genady Yoffe

Proceedings of the 2013 IEEE International Symposium on Parallel & Distributed Processing, 2013

Polyhedral Methods for Space Curves Exploiting Symmetry Applied to the Cyclic n-roots Problem.

Danko Adrovic, Jan Verschelde

Proceedings of the Computer Algebra in Scientific Computing - 15th International Workshop, 2013

2012

Orthogononalization on a general purpose graphics processing unit with double double and quad double arithmetic

Jan Verschelde, Genady Yoffe

CoRR, 2012

Computing Puiseux series for algebraic surfaces.

Danko Adrovic, Jan Verschelde

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2012

Evaluating Polynomials in Several Variables and their Derivatives on a GPU Computing Processor.

Jan Verschelde, Genady Yoffe

Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium Workshops & PhD Forum, 2012

2011

Tropical algebraic geometry in Maple: A preprocessing algorithm for finding common factors for multivariate polynomials with approximate coefficients.

Danko Adrovic, Jan Verschelde

J. Symb. Comput., 2011

Quality Up in Polynomial Homotopy Continuation by Multithreaded Path Tracking

Jan Verschelde, Genady Yoffe

CoRR, 2011

PHCpack in Macaulay2

Elizabeth Gross, Sonja Petrovic, Jan Verschelde

CoRR, 2011

Sampling algebraic sets in local intrinsic coordinates.

Yun Guan, Jan Verschelde

Comput. Math. Appl., 2011

2010

Sweeping algebraic curves for singular solutions.

Kathy Piret, Jan Verschelde

J. Comput. Appl. Math., 2010

Polynomial homotopy continuation with PHCpack.

Jan Verschelde

ACM Commun. Comput. Algebra, 2010

Solving schubert problems with Littlewood-Richardson homotopies.

Frank Sottile, Ravi Vakil, Jan Verschelde

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

Polynomial homotopies on multicore workstations.

Jan Verschelde, Genady Yoffe

Proceedings of the 4th International Workshop on Parallel Symbolic Computation, 2010

2009

Decomposing solution sets of polynomial systems: a new parallel monodromy breakup algorithm.

Anton Leykin, Jan Verschelde

Int. J. Comput. Sci. Eng., 2009

2008

Preface.

Dario Andrea Bini, Victor Y. Pan, Jan Verschelde

Theor. Comput. Sci., 2008

Parallel Implementation of a Subsystem-by-Subsystem Solver.

Yun Guan, Jan Verschelde

Proceedings of the 22nd Annual International Symposium on High Performance Computing Systems and Applications (HPCS 2008), 2008

2006

Newton's method with deflation for isolated singularities of polynomial systems.

Anton Leykin, Jan Verschelde, Ailing Zhao

Theor. Comput. Sci., 2006

Symbolic-numeric computation and applications: list of abstracts.

Ágnes Szántó, Jan Verschelde, Zhonggang Zeng

ACM Commun. Comput. Algebra, 2006

Parallel Implementation of the Polyhedral Homotopy Method.

Jan Verschelde, Yan Zhuang

Proceedings of the 2006 International Conference on Parallel Processing Workshops (ICPP Workshops 2006), 2006

Parallel Homotopy Algorithms to Solve Polynomial Systems.

Anton Leykin, Jan Verschelde, Yan Zhuang

Proceedings of the Mathematical Software, 2006

Interfacing with the Numerical Homotopy Algorithms in <i>PHCpack</i>.

Anton Leykin, Jan Verschelde

Proceedings of the Mathematical Software, 2006

2005

An intrinsic homotopy for intersecting algebraic varieties.

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler

J. Complex., 2005

Symbolic-numeric completion of differential systems by homotopy continuation.

Greg Reid, Jan Verschelde, Allan D. Wittkopf, Wenyuan Wu

Proceedings of the Symbolic and Algebraic Computation, 2005

Factoring Solution Sets of Polynomial Systems in Parallel.

Anton Leykin, Jan Verschelde

Proceedings of the 34th International Conference on Parallel Processing Workshops (ICPP 2005 Workshops), 2005

2004

Numerical factorization of multivariate complex polynomials.

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler

Theor. Comput. Sci., 2004

Computing dynamic output feedback laws.

Jan Verschelde, Yusong Wang

IEEE Trans. Autom. Control., 2004

Homotopies for Intersecting Solution Components of Polynomial Systems.

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler

SIAM J. Numer. Anal., 2004

Numerical algebraic geometry and symbolic computation.

Jan Verschelde

Proceedings of the Symbolic and Algebraic Computation, 2004

Computing Feedback Laws for Linear Systems with a Parallel Pieri Homotopy.

Jan Verschelde, Yusong Wang

Proceedings of the 33rd International Conference on Parallel Processing Workshops (ICPP 2004 Workshops), 2004

2003

Numerical Irreducible Decomposition Using PHCpack.

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler

Proceedings of the Algebra, Geometry, and Software Systems [outcome of a Dagstuhl seminar], 2003

2002

Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems.

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler

SIAM J. Numer. Anal., 2002

Geometric completion of differential systems using numeric-symbolic continuation.

Greg Reid, Chris Smith, Jan Verschelde

SIGSAM Bull., 2002

2001

Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components.

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler

SIAM J. Numer. Anal., 2001

2000

Pieri Homotopies for Problems in Enumerative Geometry Applied to Pole Placement in Linear Systems Control.

Birkett Huber, Jan Verschelde

SIAM J. Control. Optim., 2000

Toric Newton Method for Polynomial Homotopies.

Jan Verschelde

J. Symb. Comput., 2000

Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets.

Andrew J. Sommese, Jan Verschelde

J. Complex., 2000

Numerical Evidence for a Conjecture in Real Algebraic Geometry.

Jan Verschelde

Exp. Math., 2000

Balancing the lifting values to improve the numerical stability of polyhedral homotopy continuation methods.

Tangan Gao, Tien-Yien Li, Jan Verschelde, Mengnien Wu

Appl. Math. Comput., 2000

1999

Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation.

Jan Verschelde

ACM Trans. Math. Softw., 1999

Enumerating Regular Mixed-Cell Configurations.

T. Michiels, Jan Verschelde

Discret. Comput. Geom., 1999

How to Count Efficiently all Affine Roots of a Polynomial System.

Ioannis Z. Emiris, Jan Verschelde

Discret. Appl. Math., 1999

1998

Polyhedral end games for polynomial continuation.

Birkett Huber, Jan Verschelde

Numer. Algorithms, 1998

1996

Mixed-Volume Computation by Dynamic Lifting Applied to Polynomial System Solving.

Jan Verschelde, Karin Gatermann, Ronald Cools

Discret. Comput. Geom., 1996

1994

Homotopies for Solving Polynomial Systems Within a Bounded Domain.

Jan Verschelde, Ann Haegemans

Theor. Comput. Sci., 1994

1993

Symbolic Homotopy Construction.

Jan Verschelde, Ronald Cools

Appl. Algebra Eng. Commun. Comput., 1993