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| Paper Abstract and Keywords | ||
| Presentation | 2018-06-14 13:40 Optimized Pfaffian Computation Yudai Konno, Yoshihide Yoshimoto (UT)  CPSY2018-1 DC2018-1 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The Pfaffian is a homogeneous polynomial defined for a skew-symmetric matrix. The Pfaffian has similar characteristics to determinants and square of the Pfaffian of a skew-symmetric matrix corresponds to its determinant. In physics fields, such as quantum field theory with lattice model, variational Monte Carlo method and topological quantum number, computing the Pfaffian is especially meaningful, and rapid computation of the Pfaffian contributes to further development of physics. Despite demand, there is few numeric calculation library for computing the Pfaffian, and any library cannot sufficiently exert computer performance. PFAPACK is a Pfaffian calculation library which has already applied to various studies and implements an algorithm with better computational complexity. However, the implementation is not suitable for current computer performance because parallel computing and data arrangement with high efficiency of access is not sufficiently considered. Therefore, in this study, the author develops a Pfaffian computation library optimized for current computer systems. In the development, the author tries to improve the data access speed by optimizing data arrangement and considers of SIMD instructions and hierarchical cache. The performance of the library is verified in comparison to existing libraries. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Pfaffian Computation / High Performance Computing / Skew-symmetric Matrix / SIMD / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 118, no. 92, CPSY2018-1, pp. 19-23, June 2018. | |
| Paper # | CPSY2018-1 | |
| Date of Issue | 2018-06-07 (CPSY, DC) | |
| ISSN | 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 | CPSY2018-1 DC2018-1 |
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| Conference Information | |
| Committee | CPSY DC IPSJ-ARC |
| Conference Date | 2018-06-14 - 2018-06-15 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Takamiya Rurikura Resort |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Dependable Computing Systems, etc. (HotSPA2018) |
| Paper Information | |
| Registration To | CPSY |
| Conference Code | 2018-06-CPSY-DC-ARC |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Optimized Pfaffian Computation |
| Sub Title (in English) | |
| Keyword(1) | Pfaffian Computation |
| Keyword(2) | High Performance Computing |
| Keyword(3) | Skew-symmetric Matrix |
| Keyword(4) | SIMD |
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| 1st Author's Name | Yudai Konno |
| 1st Author's Affiliation | The University of Tokyo (UT) |
| 2nd Author's Name | Yoshihide Yoshimoto |
| 2nd Author's Affiliation | The University of Tokyo (UT) |
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| Speaker | Author-1 |
| Date Time | 2018-06-14 13:40:00 |
| Presentation Time | 20 minutes |
| Registration for | CPSY |
| Paper # | CPSY2018-1, DC2018-1 |
| Volume (vol) | vol.118 |
| Number (no) | no.92(CPSY), no.93(DC) |
| Page | pp.19-23 |
| #Pages | 5 |
| Date of Issue | 2018-06-07 (CPSY, DC) |
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