J. Verschelde

J. 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.

Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets

J. Verschelde, A. Sommese, 1999, J. Complex..

Enumerating Regular Mixed-cell Conngurations Enumerating Regular Mixed-cell Conngurations Enumerating Regular Mixed-cell Conngurations

J. Verschelde, T. Michiels, Tom Michielsy, 2010 .

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

J. Verschelde, A. Leykin, Ailing Zhao, 2004, Theor. Comput. Sci..

Higher-Order Deflation for Polynomial Systems With Isolated Singular Solutions

J. Verschelde, A. Leykin, Ailing Zhao, 2006, math/0602031.

Exporting Ada Software to Python and Julia

J. Verschelde, 2022, ArXiv.

Polynomial Homotopies for Dense, Sparse and Determinantal Systems

J. Verschelde, 1999, math/9907060.

Searching for Solution Curves of Polynomial Systems (preliminary report)

J. Verschelde, 2009 .

Computing Tropical Prevarieties in Parallel

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

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..

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

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

Numerical Evidence for a Conjecture in Real Algebraic Geometry

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

Parallel Homotopy Algorithms to Solve Polynomial Systems

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

Interfacing with the Numerical Homotopy Algorithms in PHCpack

Anton Leykin, Jan Verschelde, J. Verschelde, 2006, ICMS.

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

J. Verschelde, 2023, ArXiv.

Least Squares on GPUs in Multiple Double Precision

J. Verschelde, 2021, 2022 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW).

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).

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).

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.

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.

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

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

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).

Factoring solution sets of polynomial systems in parallel

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

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

Jan Verschelde, J. Verschelde, 1999, TOMS.

Advances in Polynomial Continuation for Solving Problems in Kinematics

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

Polyhedral end games for polynomial continuation

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

A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation

J. Verschelde, M. Barel, Simon Telen, 2019, SIAM J. Sci. Comput..

Solving Polynomial Systems with phcpy pdf

Jan Verschelde, Jasmine Otto, Angus Forbes, 2019, SciPy.

Computing critical points of polynomial systems using phcpack and python

Jan Verschelde, Katherine Piret, J. Verschelde, 2008 .

Polynomial homotopies on multicore workstations

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

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 factorization of multivariate complex polynomials

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

Geometric completion of differential systems using numeric-symbolic continuation

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

Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems

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

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

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

Sampling algebraic sets in local intrinsic coordinates

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

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..

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

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.

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

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

Computing Puiseux series for algebraic surfaces

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

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

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

Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm

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

The Monte Carlo Method

J. Verschelde, C. MacCluer, 2008 .

Faculty List

Michael T. Kirschenheiter, Jon A. Solworth, Ian A. Kash, 2018, International journal of urology.