Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation
Mathematical Software
2015-06-09 v1 Numerical Analysis
Symbolic Computation
Algebraic Geometry
Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1506.02618,
title = {Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation},
author = {Nathan Bliss and Jeff Sommars and Jan Verschelde and Xiangcheng Yu},
journal= {arXiv preprint arXiv:1506.02618},
year = {2015}
}
Comments
Accepted for publication in the Proceedings of CASC 2015