Symbolic Homotopy Construction. - Jan Verschelde; Ronald Cools (Appl. Algebra Eng. Commun. Comput., 1993)

Homotopies for Solving Polynomial Systems Within a Bounded Domain. - Jan Verschelde; Ann Haegemans (Theor. Comput. Sci., 1994)

Mixed-Volume Computation by Dynamic Lifting Applied to Polynomial System Solving. - Jan Verschelde; Karin Gatermann; Ronald Cools (Discret. Comput. Geom., 1996)

Polyhedral end games for polynomial continuation. - Birkett Huber; Jan Verschelde (Numer. Algorithms, 1998)

How to Count Efficiently all Affine Roots of a Polynomial System. - Ioannis Z. Emiris; Jan Verschelde (Discret. Appl. Math., 1999)

Enumerating Regular Mixed-Cell Configurations. - T. Michiels; Jan Verschelde (Discret. Comput. Geom., 1999)

Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation. - Jan Verschelde (ACM Trans. Math. Softw., 1999)

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)

Numerical Evidence for a Conjecture in Real Algebraic Geometry. - Jan Verschelde (Exp. Math., 2000)

Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets. - Andrew J. Sommese; Jan Verschelde (J. Complex., 2000)

Toric Newton Method for Polynomial Homotopies. - Jan Verschelde (J. Symb. Comput., 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)

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)

Geometric completion of differential systems using numeric-symbolic continuation. - Greg Reid; Chris Smith; Jan Verschelde (SIGSAM Bull., 2002)

Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems. - Andrew J. Sommese; Jan Verschelde; Charles W. Wampler (SIAM J. Numer. Anal., 2002)

Numerical Irreducible Decomposition Using PHCpack. - Andrew J. Sommese; Jan Verschelde; Charles W. Wampler (Algebra, Geometry, and Software Systems, 2003)

Computing Feedback Laws for Linear Systems with a Parallel Pieri Homotopy. - Jan Verschelde; Yusong Wang (ICPP Workshops, 2004)

Numerical algebraic geometry and symbolic computation. - Jan Verschelde (ISSAC, 2004)

Homotopies for Intersecting Solution Components of Polynomial Systems. - Andrew J. Sommese; Jan Verschelde; Charles W. Wampler (SIAM J. Numer. Anal., 2004)

Computing dynamic output feedback laws. - Jan Verschelde; Yusong Wang (IEEE Trans. Autom. Control., 2004)

Numerical factorization of multivariate complex polynomials. - Andrew J. Sommese; Jan Verschelde; Charles W. Wampler (Theor. Comput. Sci., 2004)

Factoring Solution Sets of Polynomial Systems in Parallel. - Anton Leykin; Jan Verschelde (ICPP Workshops, 2005)

Symbolic-numeric completion of differential systems by homotopy continuation. - Greg Reid; Jan Verschelde; Allan D. Wittkopf; Wenyuan Wu (ISSAC, 2005)

An intrinsic homotopy for intersecting algebraic varieties. - Andrew J. Sommese; Jan Verschelde; Charles W. Wampler (J. Complex., 2005)

Interfacing with the Numerical Homotopy Algorithms in PHCpack. - Anton Leykin; Jan Verschelde (ICMS, 2006)

Parallel Homotopy Algorithms to Solve Polynomial Systems. - Anton Leykin; Jan Verschelde; Yan Zhuang (ICMS, 2006)

Parallel Implementation of the Polyhedral Homotopy Method. - Jan Verschelde; Yan Zhuang (ICPP Workshops, 2006)

Symbolic-numeric computation and applications: list of abstracts. - Ágnes Szántó; Jan Verschelde; Zhonggang Zeng (ACM Commun. Comput. Algebra, 2006)

Newton's method with deflation for isolated singularities of polynomial systems. - Anton Leykin; Jan Verschelde; Ailing Zhao (Theor. Comput. Sci., 2006)

Parallel Implementation of a Subsystem-by-Subsystem Solver. - Yun Guan; Jan Verschelde (HPCS, 2008)

Preface. - Dario Andrea Bini; Victor Y. Pan; Jan Verschelde (Theor. Comput. Sci., 2008)

Decomposing solution sets of polynomial systems: a new parallel monodromy breakup algorithm. - Anton Leykin; Jan Verschelde (Int. J. Comput. Sci. Eng., 2009)

Polynomial homotopies on multicore workstations. - Jan Verschelde; Genady Yoffe (PASCO, 2010)

Solving schubert problems with Littlewood-Richardson homotopies. - Frank Sottile; Ravi Vakil; Jan Verschelde (ISSAC, 2010)

Polynomial homotopy continuation with PHCpack. - Jan Verschelde (ACM Commun. Comput. Algebra, 2010)

Sweeping algebraic curves for singular solutions. - Kathy Piret; Jan Verschelde (J. Comput. Appl. Math., 2010)

Sampling algebraic sets in local intrinsic coordinates. - Yun Guan; Jan Verschelde (Comput. Math. Appl., 2011)

PHCpack in Macaulay2 - Elizabeth Gross; Sonja Petrovic; Jan Verschelde (CoRR, 2011)

Quality Up in Polynomial Homotopy Continuation by Multithreaded Path Tracking - Jan Verschelde; Genady Yoffe (CoRR, 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)

Evaluating Polynomials in Several Variables and their Derivatives on a GPU Computing Processor. - Jan Verschelde; Genady Yoffe (IPDPS Workshops, 2012)

Computing Puiseux series for algebraic surfaces. - Danko Adrovic; Jan Verschelde (ISSAC, 2012)

Orthogononalization on a general purpose graphics processing unit with double double and quad double arithmetic - Jan Verschelde; Genady Yoffe (CoRR, 2012)

Polyhedral Methods for Space Curves Exploiting Symmetry Applied to the Cyclic n-roots Problem. - Danko Adrovic; Jan Verschelde (CASC, 2013)

Orthogonalization on a General Purpose Graphics Processing Unit with Double Double and Quad Double Arithmetic. - Jan Verschelde; Genady Yoffe (IPDPS Workshops, 2013)

A Polyhedral Method to Compute All Affine Solution Sets of Sparse Polynomial Systems. - Danko Adrovic; Jan Verschelde (CoRR, 2013)

Modernizing PHCpack through phcpy. - Jan Verschelde (CoRR, 2013)

GPU Acceleration of Newton's Method for Large Systems of Polynomial Equations in Double Double and Quad Double Arithmetic. - Jan Verschelde; Xiangcheng Yu (HPCC/CSS/ICESS, 2014)

Computing all Affine Solution Sets of Binomial Systems. - Danko Adrovic; Jan Verschelde (CoRR, 2014)

Accelerating polynomial homotopy continuation on a graphics processing unit with double double and quad double arithmetic. - Jan Verschelde; Xiangcheng Yu (PASCO, 2015)

Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation. - Nathan Bliss; Jeff Sommars; Jan Verschelde; Xiangcheng Yu (CASC, 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 (HPCC/CSS/ICESS, 2015)

Polynomial homotopy continuation on GPUs. - Jan Verschelde; Xiangcheng Yu (ACM Commun. Comput. Algebra, 2015)

Exact Gift Wrapping to Prune the Tree of Edges of Newton Polytopes to Compute Pretropisms. - Jeff Sommars; Jan Verschelde (CoRR, 2015)

Tracking Many Solution Paths of a Polynomial Homotopy on a Graphics Processing Unit. - Jan Verschelde; Xiangcheng Yu (CoRR, 2015)

Computing All Space Curve Solutions of Polynomial Systems by Polyhedral Methods. - Nathan Bliss; Jan Verschelde (CASC, 2016)

Pruning Algorithms for Pretropisms of Newton Polytopes. - Jeff Sommars; Jan Verschelde (CASC, 2016)

The Method of Gauss-Newton to Compute Power Series Solutions of Polynomial Homotopies. - Nathan Bliss; Jan Verschelde (CoRR, 2016)

Computing Pretropisms for the Cyclic n-Roots Problem. - Jeff Sommars; Jan Verschelde (CoRR, 2016)

Computing Tropical Prevarieties in Parallel. - Anders Nedergaard Jensen; Jeff Sommars; Jan Verschelde (PASCO@ISSAC, 2017)

TCS SNC Preface. - Jan Verschelde; Stephen M. Watt; Lihong Zhi (Theor. Comput. Sci., 2017)

A Blackbox Polynomial System Solver on Parallel Shared Memory Computers. - Jan Verschelde (CASC, 2018)

Solving Polynomial Systems with phcpy. - Jasmine Otto; Angus G. Forbes; Jan Verschelde (SciPy, 2019)

Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers. - Simon Telen; Marc Van Barel; Jan Verschelde (CASC, 2020)

Parallel Software to Offset the Cost of Higher Precision. - Jan Verschelde (CoRR, 2020)

A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation. - Simon Telen; Marc Van Barel; Jan Verschelde (SIAM J. Sci. Comput., 2020)

Accelerated Polynomial Evaluation and Differentiation at Power Series in Multiple Double Precision. - Jan Verschelde (IPDPS Workshops, 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)

Locating the Closest Singularity in a Polynomial Homotopy. - Jan Verschelde; Kylash Viswanathan (CASC, 2022)

Least Squares on GPUs in Multiple Double Precision. - Jan Verschelde (IPDPS Workshops, 2022)

Exporting Ada Software to Python and Julia. - Jan Verschelde (CoRR, 2022)

Algebraic Representations for Faster Predictions in Convolutional Neural Networks. - Johnny Joyce; Jan Verschelde (CASC, 2024)

GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision. - Jan Verschelde (CASC, 2024)

Extrapolating Solution Paths of Polynomial Homotopies Towards Singularities with PHCpack and Phcpy. - Jan Verschelde; Kylash Viswanathan (ICMS, 2024)

Extrapolating on Taylor Series Solutions of Homotopies with Nearby Poles. - Jan Verschelde; Kylash Viswanathan (CoRR, 2024)