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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
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.
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 Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF CPSY2018-1 DC2018-1

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  
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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Date Time 2018-06-14 13:40:00 
Presentation Time 20 
Registration for CPSY 
Paper # IEICE-CPSY2018-1,IEICE-DC2018-1 
Volume (vol) IEICE-118 
Number (no) no.92(CPSY), no.93(DC) 
Page pp.19-23 
#Pages IEICE-5 
Date of Issue IEICE-CPSY-2018-06-07,IEICE-DC-2018-06-07 

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