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Paper Abstract and Keywords
Presentation 2007-12-13 09:30
Comparison of Eigenvalue Computation Speed for Time-Varying Large-Size Symmetric Matrices
Hiroyuki Taira, Kenichi Kanatani (Okayama Univ.) PRMU2007-135
Abstract (in Japanese) (See Japanese page) 
(in English) We study iterative schemes for computing the largest eigenvalue and the
corresponding eigenvector of a time-varying large-scale symmetric
matrix, which frequently arises in many problems including computer
vision. Here, we focus on the steepest descent, the conjugate gradient,
the power method, and its acceleration. We first summarize their
algorithms and then compare their computation time, using simulated
data. We show how the computational efficiency of individual methods is
related to the eigenvalue distribution of the matrix in question.
Keyword (in Japanese) (See Japanese page) 
(in English) large-scale matrix / eigenvalue problem / steepest descent / conjugate gradient method / power method / acceleration of convergence / /  
Reference Info. IEICE Tech. Rep., vol. 107, no. 384, PRMU2007-135, pp. 1-6, Dec. 2007.
Paper # PRMU2007-135 
Date of Issue 2007-12-06 (PRMU) 
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)
Download PDF PRMU2007-135

Conference Information
Committee PRMU  
Conference Date 2007-12-13 - 2007-12-14 
Place (in Japanese) (See Japanese page) 
Place (in English) Kobe Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To PRMU 
Conference Code 2007-12-PRMU 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Comparison of Eigenvalue Computation Speed for Time-Varying Large-Size Symmetric Matrices 
Sub Title (in English)  
Keyword(1) large-scale matrix  
Keyword(2) eigenvalue problem  
Keyword(3) steepest descent  
Keyword(4) conjugate gradient method  
Keyword(5) power method  
Keyword(6) acceleration of convergence  
Keyword(7)  
Keyword(8)  
1st Author's Name Hiroyuki Taira  
1st Author's Affiliation Okayama University (Okayama Univ.)
2nd Author's Name Kenichi Kanatani  
2nd Author's Affiliation Okayama University (Okayama Univ.)
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Speaker Author-1 
Date Time 2007-12-13 09:30:00 
Presentation Time 30 minutes 
Registration for PRMU 
Paper # PRMU2007-135 
Volume (vol) vol.107 
Number (no) no.384 
Page pp.1-6 
#Pages 6 
Date of Issue 2007-12-06 (PRMU) 

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