Presentation 2008-01-31
All solution for nonlinear equation with GPGPU
Keichiro KASHIWAGI, Shinya MIYAJIMA, Masahide KASHIWAGI, Hajime UCHIMURA,
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Abstract(in English) We are numerically 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. By the way, numerical calculation using GPU is also active recently. It is called GPGPU. The purpose of this paper is to propose the fast parallel all solution algorithm using GPU and CPU. Finally this paper shows the efficiency of this all solution algorithm through some numerical examples.
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Keyword(in English) GPGPU / Nonlinear Equations / All Solution
Paper # NLP2007-129
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Conference Information
Committee NLP
Conference Date 2008/1/24(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) All solution for nonlinear equation with GPGPU
Sub Title (in English)
Keyword(1) GPGPU
Keyword(2) Nonlinear Equations
Keyword(3) All Solution
1st Author's Name Keichiro KASHIWAGI
1st Author's Affiliation Waseda University()
2nd Author's Name Shinya MIYAJIMA
2nd Author's Affiliation Gifu University
3rd Author's Name Masahide KASHIWAGI
3rd Author's Affiliation Waseda University
4th Author's Name Hajime UCHIMURA
4th Author's Affiliation Waseda University
Date 2008-01-31
Paper # NLP2007-129
Volume (vol) vol.107
Number (no) 477
Page pp.pp.-
#Pages 6
Date of Issue