Polynomial Homotopy Continuation on GPUs

Jan Verschelde and Xiangcheng Yu

Abstract:

The purpose of the software presentation is to announce a library to track many solution paths defined by a polynomial homotopy on a Graphics Processing Unit (GPU). Developed on NVIDIA graphics cards with CUDA SDKs, our code is released under the GNU GPL license. Via the C interface to PHCpack, we can call our GPU library from Python.