Jan Verschelde

Jan Verschelde, Xiangcheng Yu, J. Verschelde, 2015, 2015 IEEE 17th International Conference on High Performance Computing and Communications, 2015 IEEE 7th International Symposium on Cyberspace Safety and Security, and 2015 IEEE 12th International Conference on Embedded Software and Systems.

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

Jan Verschelde, Danko Adrovic, J. Verschelde, 2008, J. Symb. Comput..

Numerical algebraic geometry and symbolic computation

Jan Verschelde, J. Verschelde, 2004, ISSAC '04.

Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets

Andrew J. Sommese, Jan Verschelde, 2000, J. Complex..

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

Jeff Sommars, Jan Verschelde, J. Verschelde, 2015, ArXiv.

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

Nathan Bliss, Jan Verschelde, J. Verschelde, 2016, ArXiv.

Sampling algebraic sets in local intrinsic coordinates

Jan Verschelde, Yun Guan, J. Verschelde, 2009, Comput. Math. Appl..

Polynomial homotopies on multicore workstations

Jan Verschelde, Genady Yoffe, J. Verschelde, 2010, PASCO.

Numerical factorization of multivariate complex polynomials

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler, 2004, Theor. Comput. Sci..

Homotopies for Solving Polynomial Systems Within a Bounded Domain

Jan Verschelde, Ann Haegemans, J. Verschelde, 1994, Theor. Comput. Sci..

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

Jan Verschelde, Tangan Gao, T. Y. Li, 2000, Appl. Math. Comput..

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

Jan Verschelde, Genady Yoffe, J. Verschelde, 2012, 2012 IEEE 26th International Parallel and Distributed Processing Symposium Workshops & PhD Forum.

PHCpack in Macaulay2 pdf

Jan Verschelde, Elizabeth Gross, Sonja Petrovic, 2011, ArXiv.

Computing feedback laws for linear systems with a parallel pieri homotopy

Jan Verschelde, Yusong Wang, 2004, Workshops on Mobile and Wireless Networking/High Performance Scientific, Engineering Computing/Network Design and Architecture/Optical Networks Control and Management/Ad Hoc and Sensor Networks/Compil.

Proceedings of the 2014 Symposium on Symbolic-Numeric Computation

Stephen M. Watt, Lihong Zhi, Jan Verschelde, 2014 .

A Blackbox Polynomial System Solver on Parallel Shared Memory Computers pdf

Jan Verschelde, 2018, CASC.

Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm

Frank Sottile, Anton Leykin, Jan Verschelde, 2018, Math. Comput..

Computing All Space Curve Solutions of Polynomial Systems by Polyhedral Methods

Nathan Bliss, Jan Verschelde, 2016, CASC.

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

Jan Verschelde, Danko Adrovic, J. Verschelde, 2013, ArXiv.

Parallel Implementation of a Subsystem-by-Subsystem Solver

Jan Verschelde, Yun Guan, 2008, 2008 22nd International Symposium on High Performance Computing Systems and Applications.

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

Jan Verschelde, Genady Yoffe, J. Verschelde, 2012, 2013 IEEE International Symposium on Parallel & Distributed Processing, Workshops and Phd Forum.

Geometric completion of differential systems using numeric-symbolic continuation

Chris Smith, Gregory J. Reid, Jan Verschelde, 2002, SIGS.

Mixed-volume computation by dynamic lifting applied to polynomial system solving

Ronald Cools, Jan Verschelde, Karin Gatermann, 1996, Discret. Comput. Geom..

Polynomial homotopy continuation with PHCpack

Jan Verschelde, 2011, ACCA.

Numerical Evidence for a Conjecture in Real Algebraic Geometry

Jan Verschelde, J. Verschelde, 2000, Exp. Math..

Homotopies for Intersecting Solution Components of Polynomial Systems

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler, 2004, SIAM J. Numer. Anal..

Computing Puiseux series for algebraic surfaces

Jan Verschelde, Danko Adrovic, J. Verschelde, 2012, ISSAC.

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

Jan Verschelde, Xiangcheng Yu, J. Verschelde, 2014, 2014 IEEE Intl Conf on High Performance Computing and Communications, 2014 IEEE 6th Intl Symp on Cyberspace Safety and Security, 2014 IEEE 11th Intl Conf on Embedded Software and Syst (HPCC,CSS,ICESS).

Enumerating Regular Mixed-Cell Configurations

Jan Verschelde, T. Michiels, 1999, Discret. Comput. Geom..

Polyhedral end games for polynomial continuation

Jan Verschelde, Birkett Huber, J. Verschelde, 2004, Numerical Algorithms.

Using parallelism to compensate for extended precision in path tracking for polynomial system solving

Jan Verschelde, Genady Yoffe, J. Verschelde, 2012 .

SNC'07 : proceedings of the 2007 International Workshop on Symbolic-Numeric Computation, London, Ontario, Canada, July 25-27, 2007

Stephen M. Watt, Jan Verschelde, 2007 .

PHClab: A MATLAB/Octave Interface to PHCpack

Jan Verschelde, Yun Guan, 2008 .

PHCpack Documentation Release 2.4.30

Jan Verschelde, 2016 .

TCS SNC Preface

Stephen M. Watt, Lihong Zhi, Jan Verschelde, 2017, Theor. Comput. Sci..

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

Anton Leykin, Jan Verschelde, J. Verschelde, 2005, Int. J. Comput. Sci. Eng..

Parallel implementation of the polyhedral homotopy method

Yan Zhuang, Jan Verschelde, J. Verschelde, 2006, 2006 International Conference on Parallel Processing Workshops (ICPPW'06).

How to Count Efficiently all Affine Roots of a Polynomial System

Ioannis Z. Emiris, Jan Verschelde, 1999, Discret. Appl. Math..

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

Jan Verschelde, Xiangcheng Yu, J. Verschelde, 2015, PASCO.

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

Jan Verschelde, Birkett Huber, J. Verschelde, 2000, SIAM J. Control. Optim..

Parallel Homotopy Algorithms to Solve Polynomial Systems

Anton Leykin, Yan Zhuang, Jan Verschelde, 2006, ICMS.

Computing Pretropisms for the Cyclic n-Roots Problem pdf

Jeff Sommars, Jan Verschelde, J. Verschelde, 2016, ArXiv.

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

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler, 2000, SIAM J. Numer. Anal..

Symbolic-numeric computation and applications: list of abstracts

Jan Verschelde, Ágnes Szántó, Zhonggang Zeng, 2006, ACCA.

MCS 572: Introduction to Supercomputing

Jan Verschelde, 2016 .

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

Jan Verschelde, J. Verschelde, 1999, TOMS.

Symbolic-Numeric Computation, SNC 2007, International Workshop, 25-27 July 2007, University of Western Ontario, London, Ontario, Canada

Stephen M. Watt, Jan Verschelde, 2007, SNC.

Computing all Affine Solution Sets of Binomial Systems pdf

Jan Verschelde, Danko Adrovic, 2014, ArXiv.

Computing dynamic output feedback laws

Jan Verschelde, Yusong Wang, 2004, IEEE Transactions on Automatic Control.

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

Jan Verschelde, Danko Adrovic, J. Verschelde, 2011, CASC.

Modernizing PHCpack through phcpy pdf

Jan Verschelde, J. Verschelde, 2013, ArXiv.

Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation pdf

Nathan Bliss, Jeff Sommars, Jan Verschelde, 2015, CASC.

Pruning Algorithms for Pretropisms of Newton Polytopes

Jeff Sommars, Jan Verschelde, J. Verschelde, 2015, CASC.

Computing Tropical Prevarieties in Parallel

Jeff Sommars, Jan Verschelde, Anders Nedergaard Jensen, 2017, PASCO@ISSAC.

A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation

Jan Verschelde, Marc Van Barel, Simon Telen, 2020, SIAM J. Sci. Comput..

Symbolic homotopy construction

Ronald Cools, Jan Verschelde, 2005, Applicable Algebra in Engineering, Communication and Computing.

Factoring solution sets of polynomial systems in parallel

Anton Leykin, Jan Verschelde, J. Verschelde, 2005, 2005 International Conference on Parallel Processing Workshops (ICPPW'05).

Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler, 2002, SIAM J. Numer. Anal..

Numerical Irreducible Decomposition Using PHCpack

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler, 2003, Algebra, Geometry, and Software Systems.

Proceedings of the 2007 international workshop on Symbolic-numeric computation

Stephen M. Watt, Jan Verschelde, 2007, ISSAC 2007.

Quality Up in Polynomial Homotopy Continuation by Multithreaded Path Tracking pdf

Jan Verschelde, Genady Yoffe, 2011, ArXiv.

Symbolic-numeric completion of differential systems by homotopy continuation

Wenyuan Wu, Gregory J. Reid, Jan Verschelde, 2005, ISSAC.

Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm

Frank Sottile, Anton Leykin, Jan Verschelde, 2018, Math. Comput..

Least Squares on GPUs in Multiple Double Precision pdf

Jan Verschelde, 2021, ArXiv.

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

Jan Verschelde, J. Verschelde, 2021, 2021 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW).

Numerical Schubert Calculus in Macaulay2

Frank Sottile, Anton Leykin, Jan Verschelde, 2021 .

Higher-Order Deflation for Polynomial Systems With Isolated Singular Solutions

Anton Leykin, Jan Verschelde, Ailing Zhao, 2006, math/0602031.

Homotopy continuation methods for solving polynomial systems

Jan Verschelde, J. Verschelde, 1996 .

Polyhedral Methods for Space Curves Exploiting Symmetry

Jan Verschelde, Danko Adrovic, J. Verschelde, 2011 .

Advances in Polynomial Continuation for Solving Problems in Kinematics

Jan Verschelde, Charles W. Wampler, Andrew J. Sommese, 2004 .

Software for algebraic geometry

Jan Verschelde, 高山信毅, Michael E. Stillman, 2008 .

An Ada workbench for homotopy continuation for solving polynomial systems

Ronald Cools, Jan Verschelde, 1992 .

Symmetric homotopy construction

Ronald Cools, Jan Verschelde, 1994 .

Solving Polynomial Systems Equation by Equation

Jan Verschelde, Charles W. Wampler, Andrew J. Sommese, 2008 .

PHCmaple : A Maple Interface to the Numerical Homotopy Algorithms in PHCpack ∗

Anton Leykin, Jan Verschelde, J. Verschelde, 2004 .

Nonlinear reduction for solving deficient polynomial systems by continuation methods

Ronald Cools, Jan Verschelde, 1992 .

Using Monodromy to Decompose Solution Sets of Polynomial Systems into Irreducible Components

Jan Verschelde, Charles W. Wampler, Andrew J. Sommese, 2001 .

Advances in Polynomial Continuation for Solving Problems in Kinematics

Jan Verschelde, Charles W. Wampler, Andrew J. Sommese, 2002 .

Interfacing with PHCpack

Jan Verschelde, Elizabeth Gross, J. Verschelde, 2013 .

A new start system for solving deficient polynomial systems using continuation

Jan Verschelde, Marc Beckers, Ann Haegemans, 1991 .

A Method for Tracking Singular Paths with Application to the Numerical Irreducible Decomposition

Jan Verschelde, Charles W. Wampler, Andrew J. Sommese, 2002 .

Polyhedral Methods in Numerical Algebraic Geometry

Jan Verschelde, J. Verschelde, 2008, 0810.2983.

Evaluation of Jacobian Matrices for Newton’s Method with Deflation to Approximate Isolated Singular Solutions of Polynomial Systems

Anton Leykin, Jan Verschelde, Ailing Zhao, 2007 .

Polynomial homotopy continuation: a portable Ada software package

Ronald Cools, Jan Verschelde, 1996 .

Regeneration, local dimension, and applications in numerical algebraic geometry

Jan Verschelde, Charles W. Wampler, Andrew J. Sommese, 2009 .