Presentation 2018-06-14
Optimized Pfaffian Computation
Yudai Konno, Yoshihide Yoshimoto,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) The Pfaffian is a homogeneous polynomial defined for a skew-symmetric matrix. The Pfaffian has similar characteristics to determinantsand 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 studiesand implements an algorithm with better computational complexity. However, the implementation is not suitable for current computer performancebecause parallel computing and data arrangement with high efficiency of accessis 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 dataarrangement 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)
Keyword(in English) Pfaffian Computation / High Performance Computing / Skew-symmetric Matrix / SIMD
Paper # CPSY2018-1,DC2018-1
Date of Issue 2018-06-07 (CPSY, DC)

Conference Information
Committee CPSY / DC / IPSJ-ARC
Conference Date 2018/6/14(2days)
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)
Chair Koji Nakano(Hiroshima Univ.) / Satoshi Fukumoto(Tokyo Metropolitan Univ.) / Masahiro Goshima(NII)
Vice Chair Hidetsugu Irie(Univ. of Tokyo) / Takashi Miyoshi(Fujitsu) / Hiroshi Takahashi(Ehime Univ.)
Secretary Hidetsugu Irie(Utsunomiya Univ.) / Takashi Miyoshi(Hokkaido Univ.) / Hiroshi Takahashi(Tokyo Inst. of Tech.) / (Nihon Univ.)
Assistant Yasuaki Ito(Hiroshima Univ.) / Tomoaki Tsumura(Nagoya Inst. of Tech.)

Paper Information
Registration To Technical Committee on Computer Systems / Technical Committee on Dependable Computing / Special Interest Group on System Architecture
Language JPN
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)
Date 2018-06-14
Paper # CPSY2018-1,DC2018-1
Volume (vol) vol.118
Number (no) CPSY-92,DC-93
Page pp.pp.19-23(CPSY), pp.19-23(DC),
#Pages 5
Date of Issue 2018-06-07 (CPSY, DC)