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Paper Abstract and Keywords
Presentation 2016-10-06 10:00
[Poster Presentation] A GPU Implementation of Eigenvalue Computation for a Large Number of Matrices
Hiroki Tokura, Takumi Honda, Yasuaki Ito, Koji Nakano, Mitsuya Nishino, Yushiro Hirota, Masami Saeki (Hiroshima Univ.) CPSY2016-45
Abstract (in Japanese) (See Japanese page) 
(in English) The computation of eigenvalues of a matrix has a lot of applications in the field of science and engineering such as image processing, control engineering, among the others. Thus, many researchers have been devoted to accelerate the eigenvalue computation and many computer languages, systems, and environments supporting matrix manipulation offer libraries/function calls for this task. Some of them are optimized for computation of the eigenvalues of a very large matrix by parallel processing. However, such libraries/function calls are not aimed at accelerating the eigenvalues computation for a lot of small matrices. In this paper, we present a GPU implementation of bulk computation of eigenvalues for a large number of real matrices. In particular, We propose three assignments of GPU threads to matrices. The experimental results on NVIDIA GeForce GTX TITAN~X show that our GPU implementation for 500000 matrices of size $5 times 5$ attains a speed-up factor of 15 over the CPU implementation on Intel Core i7-4790.
Keyword (in Japanese) (See Japanese page) 
(in English) GPGPU / CUDA / The eigenvalue problem / The implicit QR algorithm / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 240, CPSY2016-45, pp. 13-18, Oct. 2016.
Paper # CPSY2016-45 
Date of Issue 2016-09-29 (CPSY) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee CPSY IPSJ-ARC  
Conference Date 2016-10-06 - 2016-10-06 
Place (in Japanese) (See Japanese page) 
Place (in English) Makuhari-messe 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Emerging Computer Systems Exhibition 
Paper Information
Registration To CPSY 
Conference Code 2016-10-CPSY-ARC 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A GPU Implementation of Eigenvalue Computation for a Large Number of Matrices 
Sub Title (in English)  
Keyword(1) GPGPU  
Keyword(2) CUDA  
Keyword(3) The eigenvalue problem  
Keyword(4) The implicit QR algorithm  
Keyword(5)  
Keyword(6)  
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1st Author's Name Hiroki Tokura  
1st Author's Affiliation Hiroshima University (Hiroshima Univ.)
2nd Author's Name Takumi Honda  
2nd Author's Affiliation Hiroshima University (Hiroshima Univ.)
3rd Author's Name Yasuaki Ito  
3rd Author's Affiliation Hiroshima University (Hiroshima Univ.)
4th Author's Name Koji Nakano  
4th Author's Affiliation Hiroshima University (Hiroshima Univ.)
5th Author's Name Mitsuya Nishino  
5th Author's Affiliation Hiroshima University (Hiroshima Univ.)
6th Author's Name Yushiro Hirota  
6th Author's Affiliation Hiroshima University (Hiroshima Univ.)
7th Author's Name Masami Saeki  
7th Author's Affiliation Hiroshima University (Hiroshima Univ.)
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Speaker Author-2 
Date Time 2016-10-06 10:00:00 
Presentation Time 360 minutes 
Registration for CPSY 
Paper # CPSY2016-45 
Volume (vol) vol.116 
Number (no) no.240 
Page pp.13-18 
#Pages 6 
Date of Issue 2016-09-29 (CPSY) 

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