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| 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 |
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| 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. |
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| 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 |
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| 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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