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Jan Verschelde
Jan Verschelde
Professor of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago
在 uic.edu 的电子邮件经过验证 - 首页
标题
引用次数
引用次数
年份
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
7591999
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
2711994
Introduction to numerical algebraic geometry
AJ Sommese, J Verschelde, CW Wampler
Solving Polynomial Equations: Foundations, Algorithms, and Applications, 301-337, 2005
2082005
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
1862006
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
1822001
Numerical homotopies to compute generic points on positive dimensional algebraic sets
AJ Sommese, J Verschelde
journal of complexity 16 (3), 572-602, 2000
1292000
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
1062002
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
972001
Advances in polynomial continuation for solving problems in kinematics
AJ Sommese, J Verschelde, CW Wampler
J. Mech. Des. 126 (2), 262-268, 2004
962004
Mixed-volume computation by dynamic lifting applied to polynomial system solving
J Verschelde, K Gatermann, R Cools
Discrete & Computational Geometry 16, 69-112, 1996
911996
HOMOTOPY CONTINUATION METHODS FOR SOLVING POLYNOMIAL SYSTEMS
J VERSCHELDE
861996
Higher-order deflation for polynomial systems with isolated singular solutions
A Leykin, J Verschelde, A Zhao
Algorithms in algebraic geometry, 79-97, 2008
742008
Symbolic homotopy construction
J Verschelde, R Cools
Applicable Algebra in Engineering, Communication and Computing 4, 169-183, 1993
641993
Polyhedral end games for polynomial continuation
B Huber, J Verschelde
Numerical Algorithms 18, 91-108, 1998
611998
Numerical irreducible decomposition using projections from points on the components
AJ Sommese, J Verschelde, CW Wampler
Contemporary Mathematics 286, 37-52, 2001
602001
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
521993
Polynomial homotopy continuation with PHCpack
J Verschelde
ACM Communications in Computer Algebra 44 (3/4), 217-220, 2011
512011
Homotopies for intersecting solution components of polynomial systems
AJ Sommese, J Verschelde, CW Wampler
SIAM Journal on Numerical Analysis 42 (4), 1552-1571, 2004
502004
Numerical irreducible decomposition using PHCpack
AJ Sommese, J Verschelde, CW Wampler
Algebra, Geometry and Software Systems, 109-129, 2003
472003
Symmetrical Newton Polytopes for Solving Sparse Polynomial Systems
J Verschelde, K Gatermann
Advances in Applied Mathematics 16 (1), 95-127, 1995
471995
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