Jan Verschelde

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Person:176068

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zbMath Open verschelde.janMaRDI QIDQ176068

List of research outcomes

PublicationDate of PublicationType
GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision2023-01-29Paper
Locating the closest singularity in a polynomial homotopy2022-12-21Paper
Robust numerical tracking of one path of a polynomial homotopy on parallel shared memory computers2022-12-21Paper
Locating the Closest Singularity in a Polynomial Homotopy2022-05-15Paper
Numerical Schubert Calculus in Macaulay22021-05-10Paper
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm2021-03-29Paper
A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation2021-01-26Paper
Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers2020-02-21Paper
The method of Gauss-Newton to compute power series solutions of polynomial homotopies2019-07-12Paper
Solving Polynomial Systems with phcpy2019-06-28Paper
A blackbox polynomial system solver on parallel shared memory computers2018-10-23Paper
Computing Dynamic Output Feedback Laws2017-07-12Paper
Polynomial homotopy continuation on GPUs2017-06-22Paper
Computing Tropical Prevarieties in Parallel2017-05-01Paper
Computing All Space Curve Solutions of Polynomial Systems by Polyhedral Methods2016-11-09Paper
Pruning Algorithms for Pretropisms of Newton Polytopes2016-11-09Paper
Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation2015-11-25Paper
Solving schubert problems with Littlewood-Richardson homotopies2015-09-17Paper
Symbolic-numeric completion of differential systems by homotopy continuation2015-07-16Paper
Interfacing with PHCpack2015-05-20Paper
Computing Puiseux series for algebraic surfaces2015-03-27Paper
Polynomial homotopy continuation with PHCpack2015-02-20Paper
Polyhedral Methods for Space Curves Exploiting Symmetry Applied to the Cyclic n-roots Problem2014-07-07Paper
Computing all Affine Solution Sets of Binomial Systems2014-05-01Paper
A Polyhedral Method to Compute All Affine Solution Sets of Sparse Polynomial Systems2013-10-15Paper
Sampling algebraic sets in local intrinsic coordinates2012-04-22Paper
Tropical algebraic geometry in Maple: a preprocessing algorithm for finding common factors for multivariate polynomials with approximate coefficients2011-06-01Paper
Parallel Homotopy Algorithms to Solve Polynomial Systems2010-09-14Paper
Interfacing with the Numerical Homotopy Algorithms in PHCpack2010-09-14Paper
Sweeping algebraic curves for singular solutions2010-05-17Paper
Polyhedral Methods in Numerical Algebraic Geometry2010-01-07Paper
https://portal.mardi4nfdi.de/entity/Q55051912009-01-26Paper
https://portal.mardi4nfdi.de/entity/Q35143722008-07-21Paper
https://portal.mardi4nfdi.de/entity/Q54472842008-03-06Paper
https://portal.mardi4nfdi.de/entity/Q54472882008-03-06Paper
https://portal.mardi4nfdi.de/entity/Q34471832007-06-28Paper
https://portal.mardi4nfdi.de/entity/Q34166772007-01-22Paper
Newton's method with deflation for isolated singularities of polynomial systems2006-09-14Paper
An intrinsic homotopy for intersecting algebraic varieties2005-09-02Paper
Numerical algebraic geometry and symbolic computation2005-03-14Paper
Homotopies for Intersecting Solution Components of Polynomial Systems2005-03-01Paper
Numerical factorization of multivariate complex polynomials2004-08-06Paper
Computing Feedback Laws for Linear Systems with a Parallel Pieri Homotopy2004-04-16Paper
https://portal.mardi4nfdi.de/entity/Q44181242003-08-07Paper
https://portal.mardi4nfdi.de/entity/Q47903772003-07-17Paper
Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems2003-01-05Paper
https://portal.mardi4nfdi.de/entity/Q43293942002-09-05Paper
https://portal.mardi4nfdi.de/entity/Q27544252002-08-23Paper
Numerical homotopies to compute generic points on positive dimensional algebraic sets2002-03-26Paper
Numerical Evidence for a Conjecture in Real Algebraic Geometry2001-09-17Paper
Algorithm 7952001-06-06Paper
Balancing the lifting values to improve the numerical stability of polyhedral homotopy continuation methods2001-04-25Paper
Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components2001-03-19Paper
Pieri Homotopies for Problems in Enumerative Geometry Applied to Pole Placement in Linear Systems Control2000-10-18Paper
Toric Newton method for polynomial homotopies2000-09-28Paper
Enumerating regular mixed-cell configurations1999-09-13Paper
Polyhedral end games for polynomial continuation1999-04-11Paper
How to count efficiently all affine roots of a polynomial system1999-01-01Paper
Mixed-volume computation by dynamic lifting applied to polynomial system solving1996-08-25Paper
Symmetric Newton polytopes for solving sparse polynomial systems1996-03-05Paper
Homotopies for solving polynomial systems within a bounded domain1995-05-02Paper
The $GBQ$-Algorithm for Constructing Start Systems of Homotopies for Polynomial Systems1995-02-09Paper
Homotopies Exploiting Newton Polytopes for Solving Sparse Polynomial Systems1994-10-13Paper
Symmetric homotopy construction1994-09-22Paper
Symbolic homotopy construction1993-08-31Paper
Nonlinear reduction for solving deficient polynomial systems by continuation methods1993-02-02Paper
A new start system for solving deficient polynomial systems using continuation1992-06-26Paper

Research outcomes over time


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