Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Finding All Solution of Systems of Nonlinear Equations Using GPU(Practice)
Keichiro KashiwagiShinya MiyajimaMasahide Kashiwagi
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2008 Volume 18 Issue 3 Pages 347-362

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Abstract
We are able to obtain all solutions of the systems of nonlinear equations with guaranteed accuracy applying a known algorithm using interval analysis. But this algorithm has serious problem of calculating cost. On the other hand, numerical calculation using GPU is also active recently, which is called GPGPU. The purpose of this paper is to propose the fast parallel all solution algorithm using GPU and CPU. Moreover this paper shows the efficiency of this all solution algorithm through some numerical examples.
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© 2008 The Japan Society for Industrial and Applied Mathematics
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