Solving Polynomial Systems in the Cloud
with Polynomial Homotopy Continuation
Jan Verschelde
Abstract:
Polynomial systems occur in many fields of science and engineering.
Polynomial homotopy continuation methods apply symbolic-numeric
algorithms to solve polynomial systems.
We describe the design and implementation of our web interface
and reflect on the application of polynomial homotopy continuation
methods to solve polynomial systems in the cloud.
Via the graph isomorphism problem we organize and classify
the polynomial systems we solved. The classification with
the canonical form of a graph identifies newly submitted
systems with systems that have already been solved.
This is joint work with Nathan Bliss, Jeff Sommars, and Xiangcheng Yu.
The 17th Workshop on Computer Algebra in Scientific Computing,
14-18 September 2015, RWTH Aachen University, Aachen, Germany
slides of the talk