4 citations · 9 across the 4 of their papers we have counts for
4 papers
Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation
Nathan Bliss, Jeff Sommars, Jan Verschelde +1
Polynomial systems occur in many fields of science and engineering. Polynomial homotopy continuation methods apply symbolic-numeric algorithms to solve polynomial systems. We descr…
Tracking Many Solution Paths of a Polynomial Homotopy on a Graphics Processing Unit
Jan Verschelde, Xiangcheng Yu
Polynomial systems occur in many areas of science and engineering. Unlike general nonlinear systems, the algebraic structure enables to compute all solutions of a polynomial system…
Accelerating Polynomial Homotopy Continuation on a Graphics Processing Unit with Double Double and Quad Double Arithmetic
Jan Verschelde, Xiangcheng Yu
Numerical continuation methods track a solution path defined by a homotopy. The systems we consider are defined by polynomials in several variables with complex coefficients. For l…
GPU acceleration of Newton's method for large systems of polynomial equations in double double and quad double arithmetic
Jan Verschelde, Xiangcheng Yu
In order to compensate for the higher cost of double double and quad double arithmetic when solving large polynomial systems, we investigate the application of NVIDIA Tesla K20C ge…