Beginning2010-03-22 15:00:00
Ending2010-03-22 16:00:00
Event titleSolving polynomial systems by homotopy continuation method
SpeakerTsung-Lin Lee (Michigan State University)
PlaceR734, 3rd General Building, National Tsing Hua University
DescriptionClick here to read
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NoteWhile the classical linear homotopy continuation method was developed for solving polynomial
systems in 1980’s, the polyhedral homotopies were established in 1995, which yields a drastic
improvement over the classical linear homotopies. HOM4PS-2.0 is a software package which
implements the polyhedral homotopy continuation method for solving polynomial systems.
With several sophisticatedly designed algorithms in mixed cell computation and curve tracing,
it surpasses the existing packages in finding all isolated Abstract:
zeros of polynomial systems, such as
PHCpack, PHoM, and Bertini, in speed by big margins. The marvelous efficiency of HOM4PS-2.0
makes it possible now to solve some very large systems, such as 5-body problem.
Last Update Time2010-03-18 17:14:13
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