Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components (2001)

by Andrew J. Sommese , Jan Verschelde , Charles W. Wampler
Citations:55 - 26 self

Active Bibliography

47 Numerical Homotopies to compute generic Points on positive dimensional Algebraic Sets – Andrew J. Sommese, Jan Verschelde - 1999
21 Numerical Irreducible Decomposition using PHCpack – Andrew J. Sommese, Jan Verschelde, Charles W. Wampler - 2003
Homotopy Methods for . . . – Jan Verschelde - 2007
10 Polynomial Homotopies For Dense, Sparse And Determinantal Systems – Jan Verschelde - 1999
30 Using monodromy to decompose solution sets of polynomial systems into irreducible components – Andrew J. Sommese, Jan Verschelde, Charles W. Wampler - 2001
19 Homotopies for intersecting solution components of polynomial systems – Andrew J. Sommese, Jan Verschelde, Charles, W. Wampler - 2004
14 Advances in Polynomial Continuation for Solving Problems in Kinematics – Andrew J. Sommese, Jan Verschelde, Charles W. Wampler - 2004
Finding All Mixed Cells For Polyhedral Homotopies – Tomohiko Mizutani - 2008
16 Numerical Irreducible Decomposition using Projections from Points on the Components – Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
7 PHoMpara – parallel implementation of the Polyhedral Homotopy continuation Method for polynomial systems – Takayuki Gunji, Sunyoung Kim, Katsuki Fujisawa, Masakazu Kojima - 2005
24 PHoM - a Polyhedral Homotopy Continuation Method for Polynomial Systems – Takayuki Gunji, Sunyoung Kim, Masakazu Kojima, Akiko Takeda, Katsuki Fujisawa, Tomohiko Mizutani - 2003
8 Software for numerical algebraic geometry: a paradigm and . . . – Daniel J. Bates, et al. - 2007
3 Polyhedral Methods in Numerical Algebraic Geometry – Jan Verschelde
Fast Algorithms, Modular Methods, Parallel Approaches and Software Engineering for Solving Polynomial Systems Symbolically – Yuzhen Xie - 2007
9 An Intrinsic Homotopy for Intersecting Algebraic Varieties – Andrew J. Sommese, Jan Verschelde, Charles W. Wampler - 2004
6 A numerical local dimension test for points on the solution set of a system of polynomial equations – Daniel J. Bates, Jonathan D. Hauenstein, Chris Peterson, Andrew J. Sommese
2 An exploration of homotopy solving in Maple – K. Hazaveh, D. J. Jeffrey, G. J. Reid, S. M. Watt, A. D. Wittkopf - 2003
8 Geometric Completion of Differential Systems using Numeric-Symbolic Continuation – Greg Reid, Chris Smith - 2002
3 A local dimension test for numerically approximated points on algebraic sets – Daniel J. Bates, Jonathan D. Hauenstein, Chris Peterson, Andrew J. Sommese