| Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation J Verschelde ACM Transactions on Mathematical Software (TOMS) 25 (2), 251-276, 1999 | 825 | 1999 |
| Homotopies exploiting Newton polytopes for solving sparse polynomial systems J Verschelde, P Verlinden, R Cools SIAM Journal on Numerical Analysis 31 (3), 915-930, 1994 | 290 | 1994 |
| Introduction to numerical algebraic geometry AJ Sommese, J Verschelde, CW Wampler Solving Polynomial Equations: Foundations, Algorithms, and Applications, 301-337, 2005 | 224 | 2005 |
| Numerical decomposition of the solution sets of polynomial systems into irreducible components AJ Sommese, J Verschelde, CW Wampler SIAM Journal on Numerical Analysis 38 (6), 2022-2046, 2001 | 187 | 2001 |
| Newton's method with deflation for isolated singularities of polynomial systems A Leykin, J Verschelde, A Zhao Theoretical Computer Science 359 (1-3), 111-122, 2006 | 184 | 2006 |
| Numerical homotopies to compute generic points on positive dimensional algebraic sets AJ Sommese, J Verschelde journal of complexity 16 (3), 572-602, 2000 | 131 | 2000 |
| Symmetric functions applied to decomposing solution sets of polynomial systems AJ Sommese, J Verschelde, CW Wampler SIAM Journal on Numerical Analysis 40 (6), 2026-2046, 2002 | 114 | 2002 |
| Using monodromy to decompose solution sets of polynomial systems into irreducible components Sommese, A.J, J Verschelde, CW Wampler Applications of algebraic geometry to coding theory, physics, and …, 2001 | 105 | 2001 |
| Advances in polynomial continuation for solving problems in kinematics AJ Sommese, J Verschelde, CW Wampler Journal of mechanical design 126 (2), 262-268, 2004 | 97 | 2004 |
| Mixed-volume computation by dynamic lifting applied to polynomial system solving J Verschelde, K Gatermann, R Cools Discrete & Computational Geometry 16 (1), 69-112, 1996 | 94 | 1996 |
| HOMOTOPY CONTINUATION METHODS FOR SOLVING POLYNOMIAL SYSTEMS J VERSCHELDE | 90 | 1996 |
| Higher-order deflation for polynomial systems with isolated singular solutions A Leykin, J Verschelde, A Zhao Algorithms in algebraic geometry, 79-97, 2008 | 77 | 2008 |
| Polyhedral end games for polynomial continuation B Huber, J Verschelde Numerical Algorithms 18 (1), 91-108, 1998 | 65 | 1998 |
| Symbolic homotopy construction J Verschelde, R Cools Applicable Algebra in Engineering, Communication and Computing 4 (3), 169-183, 1993 | 65 | 1993 |
| Numerical irreducible decomposition using projections from points on the components AJ Sommese, J Verschelde, CW Wampler Symbolic computation: solving equations in algebra, geometry, and …, 2001 | 61 | 2001 |
| Homotopies for intersecting solution components of polynomial systems AJ Sommese, J Verschelde, CW Wampler SIAM Journal on Numerical Analysis 42 (4), 1552-1571, 2004 | 55 | 2004 |
| Polynomial homotopy continuation with PHCpack J Verschelde ACM Communications in Computer Algebra 44 (3/4), 217-220, 2011 | 54 | 2011 |
| The GBQ-Algorithm for constructing start systems of homotopies for polynomial systems J Verschelde, A Haegemans SIAM journal on numerical analysis 30 (2), 583-594, 1993 | 51 | 1993 |
| Symmetrical Newton Polytopes for Solving Sparse Polynomial Systems J Verschelde, K Gatermann Advances in Applied Mathematics 16 (1), 95-127, 1995 | 47 | 1995 |
| Numerical irreducible decomposition using PHCpack AJ Sommese, J Verschelde, CW Wampler Algebra, Geometry and Software Systems, 109-129, 2003 | 46 | 2003 |
Anton LeykinGeorgia TechVerified email at math.gatech.edu
