Jan Verschelde

Jan Verschelde, Genady Yoffe: Evaluating Polynomials in Several Variables and their Derivatives on a GPU Computing Processor. IPDPS Workshops 2012: 1397-1405

Danko Adrovic, Jan Verschelde: Computing Puiseux series for algebraic surfaces. ISSAC 2012: 20-27

Jan Verschelde, Genady Yoffe: Evaluating polynomials in several variables and their derivatives on a GPU computing processor. CoRR abs/1201.0499 (2012)

Danko Adrovic, Jan Verschelde: Computing Puiseux Series for Algebraic Surfaces. CoRR abs/1201.3401 (2012)

Jan Verschelde, Genady Yoffe: Orthogononalization on a general purpose graphics processing unit with double double and quad double arithmetic. CoRR abs/1210.0800 (2012)

Yun Guan, Jan Verschelde: Sampling algebraic sets in local intrinsic coordinates. Computers & Mathematics with Applications 62(10): 3706-3721 (2011)

Danko Adrovic, Jan Verschelde: Tropical algebraic geometry in Maple: A preprocessing algorithm for finding common factors for multivariate polynomials with approximate coefficients. J. Symb. Comput. 46(7): 755-772 (2011)

Elizabeth Gross, Sonja Petrovic, Jan Verschelde: PHCpack in Macaulay2. CoRR abs/1105.4881 (2011)

Jan Verschelde, Genady Yoffe: Quality Up in Polynomial Homotopy Continuation by Multithreaded Path Tracking. CoRR abs/1109.0545 (2011)

Kathy Piret, Jan Verschelde: Sweeping algebraic curves for singular solutions. J. Computational Applied Mathematics 234(4): 1228-1237 (2010)

Jan Verschelde, Genady Yoffe: Polynomial homotopies on multicore workstations. PASCO 2010: 131-140

Frank Sottile, Ravi Vakil, Jan Verschelde: Solving schubert problems with Littlewood-Richardson homotopies. ISSAC 2010: 179-186

Anton Leykin, Jan Verschelde: Decomposing solution sets of polynomial systems: a new parallel monodromy breakup algorithm. IJCSE 4(2): 94-101 (2009)

Dario Andrea Bini, Victor Y. Pan, Jan Verschelde: Preface. Theor. Comput. Sci. 409(2): 155-157 (2008)

Yun Guan, Jan Verschelde: Parallel Implementation of a Subsystem-by-Subsystem Solver. HPCS 2008: 117-123

Stephen M. Watt, Jan Verschelde (Eds.): Symbolic-Numeric Computation, SNC 2007, International Workshop, 25-27 July 2007, University of Western Ontario, London, Ontario, Canada. ACM 2007, isbn 978-1-59593-744-5

Anton Leykin, Jan Verschelde, Ailing Zhao: Newton's method with deflation for isolated singularities of polynomial systems. Theor. Comput. Sci. 359(1-3): 111-122 (2006)

Anton Leykin, Jan Verschelde, Yan Zhuang: Parallel Homotopy Algorithms to Solve Polynomial Systems. ICMS 2006: 225-234

Anton Leykin, Jan Verschelde: Interfacing with the Numerical Homotopy Algorithms in PHCpack. ICMS 2006: 354-360

Jan Verschelde, Yan Zhuang: Parallel Implementation of the Polyhedral Homotopy Method. ICPP Workshops 2006: 481-488

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler: An intrinsic homotopy for intersecting algebraic varieties. J. Complexity 21(4): 593-608 (2005)

Anton Leykin, Jan Verschelde: Factoring Solution Sets of Polynomial Systems in Parallel. ICPP Workshops 2005: 173-180

Greg Reid, Jan Verschelde, Allan D. Wittkopf, Wenyuan Wu: Symbolic-numeric completion of differential systems by homotopy continuation. ISSAC 2005: 269-276

Anton Leykin, Jan Verschelde: Decomposing Solution Sets of Polynomial Systems: A New Parallel Monodromy Breakup Algorithm. CoRR abs/cs/0509067 (2005)

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler: Homotopies for Intersecting Solution Components of Polynomial Systems. SIAM J. Numerical Analysis 42(4): 1552-1571 (2004)

Jan Verschelde, Yusong Wang: Computing dynamic output feedback laws. IEEE Trans. Automat. Contr. 49(8): 1393-1397 (2004)

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler: Numerical factorization of multivariate complex polynomials. Theor. Comput. Sci. 315(2-3): 651-669 (2004)

Jan Verschelde, Yusong Wang: Computing Feedback Laws for Linear Systems with a Parallel Pieri Homotopy. ICPP Workshops 2004: 222-229

Jan Verschelde: Numerical algebraic geometry and symbolic computation. ISSAC 2004: 3

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler: Numerical Irreducible Decomposition Using PHCpack. Algebra, Geometry, and Software Systems 2003: 109-129

Andrew J. Sommese, Jan Verschelde, Charles W. Wampler: Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems. SIAM J. Numerical Analysis 40(6): 2026-2046 (2002)

Jan Verschelde: Numerical Evidence for a Conjecture in Real Algebraic Geometry. Experimental Mathematics 9(2): 183-196 (2000)

Andrew J. Sommese, Jan Verschelde: Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets. J. Complexity 16(3): 572-602 (2000)

Jan Verschelde: Toric Newton Method for Polynomial Homotopies. J. Symb. Comput. 29(4-5): 777-793 (2000)

Birkett Huber, Jan Verschelde: Pieri Homotopies for Problems in Enumerative Geometry Applied to Pole Placement in Linear Systems Control. SIAM J. Control and Optimization 38(4): 1265-1287 (2000)

Ioannis Z. Emiris, Jan Verschelde: How to Count Efficiently all Affine Roots of a Polynomial System. Discrete Applied Mathematics 93(1): 21-32 (1999)

T. Michiels, Jan Verschelde: Enumerating Regular Mixed-Cell Configurations. Discrete & Computational Geometry 21(4): 569-579 (1999)

Jan Verschelde: Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation. ACM Trans. Math. Softw. 25(2): 251-276 (1999)

Jan Verschelde, Karin Gatermann, Ronald Cools: Mixed-Volume Computation by Dynamic Lifting Applied to Polynomial System Solving. Discrete & Computational Geometry 16(1): 69-112 (1996)

Jan Verschelde, Ann Haegemans: Homotopies for Solving Polynomial Systems Within a Bounded Domain. Theor. Comput. Sci. 133(1): 165-185 (1994)

Jan Verschelde, Ronald Cools: Symbolic Homotopy Construction. Appl. Algebra Eng. Commun. Comput. 4: 169-183 (1993)