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

by Andrew J. Sommese , Jan Verschelde , Charles W. Wampler
Citations:56 - 26 self

Active Bibliography

11 POLYNOMIAL HOMOTOPIES FOR DENSE, SPARSE AND DETERMINANTAL SYSTEMS – Jan Verschelde - 1999
50 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
16 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
34 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
19 Numerical Irreducible Decomposition using Projections from Points on the Components – Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
20 Computing All Nonsingular Solutions of Cyclic-n Polynomial Using Polyhedral Homotopy Continuation Methods – Yang Dai, S. Kim, Sunyoung Kim, Masakazu Kojima - 2001
Numerical Stablity of Path Tracing in Polyhedral Homotopy Continuation Methods – Sunyoung Kim, Masakazu Kojima - 2004
31 PHoM - a Polyhedral Homotopy Continuation Method for Polynomial Systems – Takayuki Gunji, Sunyoung Kim, Masakazu Kojima, Akiko Takeda, Katsuki Fujisawa, Tomohiko Mizutani - 2003
10 PHoMpara – parallel implementation of the Polyhedral Homotopy continuation Method for polynomial systems – Takayuki Gunji, Sunyoung Kim, Katsuki Fujisawa, Masakazu Kojima - 2005
10 Software for numerical algebraic geometry: a paradigm and . . . – Daniel J. Bates, et al. - 2007
3 Polyhedral Methods in Numerical Algebraic Geometry – Jan Verschelde
22 Numerical Evidence For A Conjecture In Real Algebraic Geometry – Jan Verschelde - 1998
9 An Intrinsic Homotopy for Intersecting Algebraic Varieties – Andrew J. Sommese, Jan Verschelde, Charles W. Wampler - 2004
7 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
Constructing Polyhedral Homotopies on Grid-of-Clusters – Tomohiko Mizutani, Makoto Yamashita - 2009