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 | 744 | 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 | 268 | 1994 |

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 | 183 | 2006 |

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 | 179 | 2001 |

Numerical homotopies to compute generic points on positive dimensional algebraic sets AJ Sommese, J Verschelde journal of complexity 16 (3), 572-602, 2000 | 129 | 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 | 105 | 2002 |

Advances in polynomial continuation for solving problems in kinematics AJ Sommese, J Verschelde, CW Wampler J. Mech. Des. 126 (2), 262-268, 2004 | 96 | 2004 |

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 | 96 | 2001 |

Mixed-volume computation by dynamic lifting applied to polynomial system solving J Verschelde, K Gatermann, R Cools Discrete & Computational Geometry 16, 69-112, 1996 | 90 | 1996 |

HOMOTOPY CONTINUATION METHODS FOR SOLVING POLYNOMIAL SYSTEMS J VERSCHELDE | 82 | 1996 |

Introduction to numerical algebraic geometry AJ Sommese, J Verschelde, CW Wampler Solving Polynomial Equations: Foundations, Algorithms, and Applications, 301-337, 2005 | 75 | 2005 |

Higher-order deflation for polynomial systems with isolated singular solutions A Leykin, J Verschelde, A Zhao Algorithms in algebraic geometry, 79-97, 2008 | 73 | 2008 |

Symbolic homotopy construction J Verschelde, R Cools Applicable Algebra in Engineering, Communication and Computing 4, 169-183, 1993 | 65 | 1993 |

Numerical irreducible decomposition using projections from points on the components AJ Sommese, J Verschelde, CW Wampler Contemporary Mathematics 286, 37-52, 2001 | 61 | 2001 |

Polyhedral end games for polynomial continuation B Huber, J Verschelde Numerical Algorithms 18, 91-108, 1998 | 60 | 1998 |

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 | 52 | 1993 |

Homotopies for intersecting solution components of polynomial systems AJ Sommese, J Verschelde, CW Wampler SIAM Journal on Numerical Analysis 42 (4), 1552-1571, 2004 | 51 | 2004 |

Polynomial homotopy continuation with PHCpack J Verschelde ACM Communications in Computer Algebra 44 (3/4), 217-220, 2011 | 50 | 2011 |

Numerical irreducible decomposition using PHCpack AJ Sommese, J Verschelde, CW Wampler Algebra, Geometry and Software Systems, 109-129, 2003 | 49 | 2003 |

Symmetrical Newton Polytopes for Solving Sparse Polynomial Systems J Verschelde, K Gatermann Advances in Applied Mathematics 16 (1), 95-127, 1995 | 49 | 1995 |