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Polynomial systems occur in many areas of science and engineering. Unlike general nonlinear systems, the algebraic structure enablesto compute all solutions of a polynomial system. We describe our massively parallel predictor-corrector algorithmsto track many solution paths of a polynomial homotopy. The data parallelism that provides the speedups stems from theevaluation and differentiation of the...
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 the NVIDIA Tesla K20C graphics processing unit (GPU). The focus on this paper is on Newton's method, which requires the evaluation of the polynomials, their derivatives, and the solution of a linear system to compute the update to the current...
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