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Research on Mathematical Methods and Development of Libraries for Combined and Hierarchical Autotuning

Research Project

Project/Area Number 15H02708
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field High performance computing
Research InstitutionThe University of Tokyo

Principal Investigator

SUDA Reiji  東京大学, 大学院情報理工学系研究科, 教授 (40251392)

Co-Investigator(Kenkyū-buntansha) 藤井 昭宏  工学院大学, 情報学部(情報工学部), 准教授 (10383986)
美添 一樹  国立研究開発法人理化学研究所, 革新知能統合研究センター, ユニットリーダー (80449115)
Co-Investigator(Renkei-kenkyūsha) TANAKA Teruo  工学院大学, 情報工学部, 教授 (90622837)
YAMAMOTO Yusaku  電気通信大学, 情報理工学研究科, 教授 (20362288)
KATAGIRI Takahiro  名古屋大学, 情報基盤センター, 教授 (40345434)
Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥18,200,000 (Direct Cost: ¥14,000,000、Indirect Cost: ¥4,200,000)
Fiscal Year 2017: ¥5,980,000 (Direct Cost: ¥4,600,000、Indirect Cost: ¥1,380,000)
Fiscal Year 2016: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Fiscal Year 2015: ¥6,370,000 (Direct Cost: ¥4,900,000、Indirect Cost: ¥1,470,000)
Keywords自動チューニング / 複合的自動チューニング / ベイズ統計 / 実験計画 / 線形モデル / 相関モデル / モデルフィッティング / コード生成 / 高性能計算 / D-spline / 行列計算 / 探索 / ハイパフォーマンスコンピューティング / アルゴリズム / 性能モデル化 / d-spline / 代数的多重格子法 / モンテカルロ木探索 / 三角行列積 / ベイズモデル / ATMathCoreLib / CBCG法 / AMG / 並列探索 / 数値制約充足問題
Outline of Final Research Achievements

Autotuning is technology that aims to attain good performance under various conditions, by letting software controls its own parameter. In case multiple parameter exist, most of previous research chose either exhaustive search or heuristic pruning. In this research, we aim mathematically founded method using Bayesian statistics, which gives practically good and asymptotically optimal solutions.
In survey of previous works, we found that linear models and correlation models have such properties, and they can be combined. From description of such models, we create a software that generates a code that constructs performance model from a priori information and observations. Also we apply autotuning mathematical libraries to various computations, and confirms their effectiveness.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • Research Products

    (61 results)

All 2018 2017 2016 2015 Other

All Int'l Joint Research (1 results) Journal Article (13 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 12 results,  Open Access: 4 results,  Acknowledgement Compliant: 7 results) Presentation (45 results) (of which Int'l Joint Research: 19 results) Funded Workshop (2 results)

  • [Int'l Joint Research] 国立台湾大学/国立成功大学(台湾)

    • Related Report
      2017 Annual Research Report
  • [Journal Article] Solution of a Nonlinear Eigenvalue Problem Using Signed Singular Values2018

    • Author(s)
      Ooi Kouhei、Mizuno Yoshinori、Sogabe Tomohiro、Yamamoto Yusaku、Zhang Shao-Liang
    • Journal Title

      East Asian J. Appl. Math.

      Volume: 7 Issue: 4 Pages: 799-809

    • DOI

      10.4208/eajam.181016.300517c

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] MP-LAMP: Parallel Detection of Statistically Significant Multi-Loci Markers on Cloud Platforms2018

    • Author(s)
      Kazuki Yoshizoe, Aika Terada, and Koji Tsuda
    • Journal Title

      Bioinformatics

      Volume: bty219 Issue: 17 Pages: 3047-3049

    • DOI

      10.1093/bioinformatics/bty219

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On the optimality and sharpness of Laguerre's lower bound on the smallest eigenvalue of a symmetric positive definite matrix2017

    • Author(s)
      Yusaku Yamamoto
    • Journal Title

      Appl. Math.

      Volume: 62 Issue: 4 Pages: 319-331

    • DOI

      10.21136/am.2017.0022-17

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The danger of combining block red?black ordering with modified incomplete factorizations and its remedy by perturbation or relaxation2017

    • Author(s)
      Shioya Akemi、Yamamoto Yusaku
    • Journal Title

      Japan J. Indust. Appl. Math.

      Volume: 35 Issue: 1 Pages: 195-216

    • DOI

      10.1007/s13160-017-0277-5

    • NAID

      210000166851

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic quadratic convergence of the serial block-Jacobi EVD algorithm for Hermitian matrices2017

    • Author(s)
      Gabriel Oksa, Yusaku Yamamoto and Marian Vajtersic
    • Journal Title

      Numerische Mathematik

      Volume: 印刷中 Issue: 4 Pages: 1071-1095

    • DOI

      10.1007/s00211-016-0863-5

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Performance analysis and optimization of the parallel one-sided block Jacobi SVD algorithm with dynamic ordering and variable blocking2017

    • Author(s)
      Shuhei Kudo, Yusaku Yamamoto, Martin Becka and Marian Vajtersic
    • Journal Title

      Concurrency and Computation: Practice and Experience

      Volume: 印刷中 Issue: 9

    • DOI

      10.1002/cpe.4059

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Probabilistic analysis of an estimator for the Frobenius norm of a matrix product2017

    • Author(s)
      Yusaku Yamamoto and Shuhei Kudo
    • Journal Title

      JSIAM Letters

      Volume: 9 Pages: 9-12

    • NAID

      130005243576

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] 共役勾配法への種々の通信削減手法の適用と評価2017

    • Author(s)
      熊谷洋祐, 藤井昭宏, 田中輝雄, 深谷猛, 須田礼仁
    • Journal Title

      情報処理学会論文誌 コンピューティングシステム

      Volume: 9 Pages: 1-13

    • NAID

      170000148096

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Xeon PhiにおけるDSYRKの並列化手法と性能解析2016

    • Author(s)
      工藤 周平, 山本 有作
    • Journal Title

      情報処理学会論文誌コンピューティングシステム

      Volume: 9 Pages: 15-24

    • NAID

      170000148280

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Communication-Avoiding CG Method: New Direction of Krylov Subspace Methods towards Exa-scale Computing2016

    • Author(s)
      Reiji Suda, Cong Li, Daichi Watanabe, Yosuke Kumagai, Akihiro Fujii, Teruo Tanaka
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1995 Pages: 102-111

    • Related Report
      2016 Annual Research Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] Roundoff error analysis of the CholeskyQR2 algorithm in an oblique inner product2016

    • Author(s)
      Y. Yamamoto, Y. Nakatsukasa, Y. Yanagisawa and T. Fukaya
    • Journal Title

      JSIAM Letters

      Volume: 8 Pages: 5-8

    • NAID

      130005125235

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Performance of the parallel one-sided block Jacobi SVD algorithm on a modern distributed-memory parallel computer2016

    • Author(s)
      S. Kudo, Y. Yamamoto, M. Becka and M. Vajtersic
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 9573

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Performance Analysis of the Chebyshev Basis Conjugate Gradient Method on the K Computer2016

    • Author(s)
      Yosuke Kumagai, Akihiro Fujii, Teruo Tanaka, Yusuke Hirota, Takeshi Fukaya, Toshiyuki Imamura and Reiji Suda
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 9573 Pages: 74-85

    • DOI

      10.1007/978-3-319-32149-3_8

    • ISBN
      9783319321486, 9783319321493
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Online Autotuning of Parameters of GA-BiCG2018

    • Author(s)
      Kentaro Yamamoto, Yushi Qiu, Masaharu Matsumoto, Reiji Suda
    • Organizer
      2018 Conference on Advanced Topics and Auto Tuning in High-Performance Scientific Computing
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A case study on modeling the performance of dense matrix computation: Tridiagonalization in the EigenExa eigensolver on the K computer2018

    • Author(s)
      Takeshi Fukaya, Toshiyuki Imamura and Yusaku Yamamoto
    • Organizer
      iWAPT2018 (accepted)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Acceleration of sparse linear solvers using RDMA communication on PRIMEHPC FX supercomputer2018

    • Author(s)
      Akihiro Fujii, Teruo Tanaka, Takahiro Katagiri
    • Organizer
      2018 Conference on Advanced Topics and Auto Tuning in High-Performance Scientific Computing (ATAT in HPSC 2018)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 空間並列度および時間並列度の割り当て方に対する考察2018

    • Author(s)
      依田 凌, 藤井昭宏, 田中 輝雄,中島 研吾
    • Organizer
      情報処理学会ハイパフォーマンスコンピューティング研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Consideration on the Optimal Balance Between Space Parallelism and Time Parallelism2018

    • Author(s)
      Ryo Yoda, Akihiro Fujii, Teruo Tanaka, Kengo Nakajima
    • Organizer
      SIAM Conference on Parallel Processing for Scientific Computing, poster
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Low Cost Multiple One-dimensional d-Spline Parameter Search for Multiple Performance Parameter Estimation2018

    • Author(s)
      Teruo Tanaka, Masayoshi Mochizuki, Akihiro Fujii, Takahiro Katagiri
    • Organizer
      2018 Conference on Advanced Topics and Auto Tuning in High-Performance Scientific Computing (ATAT in HPSC 2018)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 自動チューニングにおけるd-Spline近似の実時間のブレを考慮した手法の提案2017

    • Author(s)
      范谷瑛, 望月大義, 田中輝雄, 藤井昭宏, 片桐孝洋
    • Organizer
      第79回情報処理学会全国大会
    • Place of Presentation
      名古屋大学(愛知県名古屋市)
    • Year and Date
      2017-03-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] Two topics about fitting function d-Spline for realization of practical AT2017

    • Author(s)
      Tanaka Teruo, Masayoshi Mochizuki, Guuing Fan, Akihiro Fujii
    • Organizer
      2017 Conference on Advanced Topics and Auto Tuning in High-Performance Scientific Computing
    • Place of Presentation
      台北(台湾)
    • Year and Date
      2017-03-10
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Parameter tuning for algebraic multigrid solver with ATmathCoreLIB2017

    • Author(s)
      Akihiro Fujii, Teruo Tanaka
    • Organizer
      Conference on Advanced Topics and Auto Tuning in High-Performance Scientific Computing
    • Place of Presentation
      台北(台湾)
    • Year and Date
      2017-03-10
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Generation of Math Library for Multi-Parameter Autotuning2017

    • Author(s)
      Reiji Suda
    • Organizer
      2017 Conference on Advanced Topics and Auto Tuning in High-Performance Scientific Computing
    • Place of Presentation
      台北(台湾)
    • Year and Date
      2017-03-10
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Embedded-DSL-like code generation and optimization of Bayesian estimation routines with user-defined source-to-source code transformation framework Xevolver2017

    • Author(s)
      Reiji Suda
    • Organizer
      International Workshop on Legacy HPC Application Migration (LHAM'17) / CANDAR'17
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 複合的自動チューニングのための数理ライブラリの構築2017

    • Author(s)
      須田礼仁
    • Organizer
      第22回計算工学講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 遺伝的アルゴリズムに基づく疎行列解法のパラメタに関するオンライン自動チューニング2017

    • Author(s)
      山本堅太郎、松本正晴、須田礼仁
    • Organizer
      情報処理学会 第159回 HPC 研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Fast Maximal Poisson-Disk Sampling by Randomized Tiling2017

    • Author(s)
      Tong Wang and Reiji Suda
    • Organizer
      High Performance Graphics 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Roundoff error analysis of the CholeskyQR2 and related algorithms2017

    • Author(s)
      Yusaku Yamamoto
    • Organizer
      PARNUM2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] ブロック赤-黒順序付けされた摂動/緩和MILU(0) 前処理法のGPUとマルチコアCPUにおける性能評価2017

    • Author(s)
      塩谷明美,山本有作
    • Organizer
      情報処理学会 SWoPP 2017
    • Related Report
      2017 Annual Research Report
  • [Presentation] On using the Cholesky QR method in the full-blocked one-sided Jacobi algorithm2017

    • Author(s)
      Shuhei Kudo and Yusaku Yamamoto
    • Organizer
      PPAM2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 自動チューニング言語ppOpen-ATの機能とオープンCAEへの展開2017

    • Author(s)
      片桐孝洋
    • Organizer
      オープンCAEシンポジウム2017
    • Related Report
      2017 Annual Research Report
  • [Presentation] ポストムーア時代における有限差分法コードの自動チューニング技法の一考察2017

    • Author(s)
      片桐孝洋、大島聡史、松本正晴
    • Organizer
      第22回計算工学講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] データ同化処理への時空間ブロッキング手法の適用と自動チューニング適用の一考察2017

    • Author(s)
      片桐 孝洋、池田 朋哉、藤川 隼人
    • Organizer
      日本応用数理学会 2017年度年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] D-Spline Performance Tuning Method Flexibly Responsive to Execution Time Perturbation2017

    • Author(s)
      Guuing Fan, Masayoshi Mochizuki, Akihiro Fujii, Teruo Tanaka
    • Organizer
      12th International Conference on Parallel Processing and Applied Mathematics (PPAM2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 複数性能パラメタによる自動チューニングにおける性能パラメタ間相関関係の影響2017

    • Author(s)
      望月大義, 范谷瑛, 藤井昭宏, 田中 輝雄
    • Organizer
      日本応用数理学会2017年度年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Fast Multidimensional Performance Parameter Estimation with Multiple One-dimensional d-Spline Parameter Search2017

    • Author(s)
      Masayoshi Mochizuki, Akihiro Fujii, Teruo Tanaka, Takahiro Katagiri
    • Organizer
      The Twelfth International Workshop on Automatic Performance Tuning (iWAPT2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Algebraic multigrid method with multiple near-kernel vector2016

    • Author(s)
      藤井昭宏, 野村直也, 田中輝雄
    • Organizer
      現象解明に向けた数値解析学の新展開 Ⅱ
    • Place of Presentation
      京都大学(京都府京都市)
    • Year and Date
      2016-10-19
    • Related Report
      2016 Annual Research Report
  • [Presentation] On constructing cost models for online automatic tuning using ATMathCoreLib2016

    • Author(s)
      Seiji Nagashima, Takeshi Fukaya and Yusaku Yamamoto
    • Organizer
      the IEEE 10th International Symposium on Embedded Multicore/Many-core Systtems-on-Chip (MCSoC-16)
    • Place of Presentation
      リヨン(フランス)
    • Year and Date
      2016-09-21
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 一般化菱形行列冪カーネルのための領域分割アルゴリズム2016

    • Author(s)
      須田礼仁
    • Organizer
      情報処理学会第155回ハイパフォーマンスコンピューティング研究発表会
    • Place of Presentation
      キッセイ文化ホール(長野県松本市)
    • Year and Date
      2016-08-08
    • Related Report
      2016 Annual Research Report
  • [Presentation] 複数性能パラメタ空間における実行時AT機構2016

    • Author(s)
      田中輝雄, 望月大義, 村田陸, 藤井昭宏
    • Organizer
      2016年ハイパフォーマンスコンピューティングと計算科学シンポジウム
    • Place of Presentation
      東北大学(宮城県仙台市)
    • Year and Date
      2016-06-06
    • Related Report
      2016 Annual Research Report
  • [Presentation] 複合的自動チューニングのための数理とソフトウェア2016

    • Author(s)
      須田礼仁
    • Organizer
      第21回計算工学講演会
    • Place of Presentation
      朱鷺メッセ(新潟県新潟市)
    • Year and Date
      2016-05-31
    • Related Report
      2016 Annual Research Report
  • [Presentation] Coarse grid aggregation for SA-AMG method with multiple kernel vectors2016

    • Author(s)
      Akihiro Fujii, Naoya Nomura, Teruo Tanaka, Kengo Nakajima, Osni Marques
    • Organizer
      SIAM conference on Parallel Processing for Scientific Computing
    • Place of Presentation
      パリ(フランス)
    • Year and Date
      2016-04-12
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Matrix Powers Kernelの反復解法への適用2016

    • Author(s)
      野地優希,熊谷洋佑,藤井昭宏,田中輝雄
    • Organizer
      情報処理学会第78回全国大会
    • Place of Presentation
      慶応大学(神奈川県横浜市)
    • Year and Date
      2016-03-10
    • Related Report
      2015 Annual Research Report
  • [Presentation] 通信削減Jacobi法を前処理とした共役勾配法の性能評価2016

    • Author(s)
      熊谷洋佑,野地優希,藤井昭宏,田中輝雄,須田礼仁
    • Organizer
      ハイパフォーマンスコンピューティング研究発表会
    • Place of Presentation
      道後温泉(愛媛県松山市)
    • Year and Date
      2016-03-01
    • Related Report
      2015 Annual Research Report
  • [Presentation] Semi-automatic construction of performance modeling software for autotuning2016

    • Author(s)
      Reiji Suda
    • Organizer
      Conference on Advanced Topics and Auto Tuning in High-Performance Scientific Computing (ATAT2016)
    • Place of Presentation
      台北(台湾)
    • Year and Date
      2016-02-19
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 複合的・階層的な自動チューニングを実現する数値基盤手法の研究とライブラリの開発2015

    • Author(s)
      須田礼仁
    • Organizer
      第7回 自動チューニング技術の現状と応用に関するシンポジウム
    • Place of Presentation
      東京大学(東京都文京区)
    • Year and Date
      2015-12-25
    • Related Report
      2015 Annual Research Report
  • [Presentation] 代数的マルチグリッド法のパラメタ探索空間について2015

    • Author(s)
      藤井昭宏,野村 直也,田中 輝雄
    • Organizer
      第7回 自動チューニング技術の現状と応用に関するシンポジウム
    • Place of Presentation
      東京大学(東京都文京区)
    • Year and Date
      2015-12-25
    • Related Report
      2015 Annual Research Report
  • [Presentation] 正規行列のトレースに対する確率的推定法の分散について2015

    • Author(s)
      山本有作
    • Organizer
      日本応用数理学会「行列・固有値問題の解法とその応用」研究部会
    • Place of Presentation
      東京大学(東京都文京区)
    • Year and Date
      2015-12-11
    • Related Report
      2015 Annual Research Report
  • [Presentation] Preliminary Evaluation of Surrogate-Assisted Tuning Method for Software Auto-Tuning2015

    • Author(s)
      Riku Murata, Akihiro Fujii, Teruo Tanaka, Takahiro Katagiri
    • Organizer
      International Workshop on Software for Peta-Scale Numerical Simulation(SPNS 2015)
    • Place of Presentation
      東京大学(東京都文京区)
    • Year and Date
      2015-12-03
    • Related Report
      2015 Annual Research Report
  • [Presentation] コレスキーQR法と古典的グラム・シュミット法の数値的安定性について2015

    • Author(s)
      山本有作
    • Organizer
      京大数理研 研究集会「現象解明に向けた数値解析学の新展開」
    • Place of Presentation
      京都大学(京都市左京区)
    • Year and Date
      2015-11-18
    • Related Report
      2015 Annual Research Report
  • [Presentation] Roundoff Error Analysis of the CholeskyQR2 and Related Algorithms2015

    • Author(s)
      Y. Yamamoto, Y. Nakatsukasa, Y. Yanagisawa and T. Fukaya
    • Organizer
      SIAM Conference on Applied Linear Algebra
    • Place of Presentation
      アトランタ(米国)
    • Year and Date
      2015-10-28
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 多次元パラメタ空間に向けた標本点逐次追加型性能パラメタ推定法の拡張2015

    • Author(s)
      村田陸,藤井昭宏,田中輝雄,片桐孝洋
    • Organizer
      第12回AT研究会オープンアカデミックセッション
    • Place of Presentation
      山梨大学(山梨県甲府市)
    • Year and Date
      2015-10-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] 京・FX10におけるChebyshev基底共役勾配法の性能分析2015

    • Author(s)
      熊谷洋佑,藤井昭宏,田中輝雄,廣田悠輔,深谷猛,今村俊幸,須田礼仁
    • Organizer
      第12回AT研究会オープンアカデミックセッション
    • Place of Presentation
      山梨大学(山梨県甲府市)
    • Year and Date
      2015-10-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] 二次元パラメタ空間への標本点逐次追加型性能パラメタ推定法の拡張2015

    • Author(s)
      村田陸, 入江純, 藤井昭宏, 田中輝雄, 片桐孝洋
    • Organizer
      日本応用数理学会2015年度年会
    • Place of Presentation
      金沢大学(石川県金沢市)
    • Year and Date
      2015-09-11
    • Related Report
      2015 Annual Research Report
  • [Presentation] ブロック化ハウスホルダー・コレスキーQR法の安定性について2015

    • Author(s)
      山本有作
    • Organizer
      日本応用数理学会2015年度年会
    • Place of Presentation
      金沢大学(石川県金沢市)
    • Year and Date
      2015-09-10
    • Related Report
      2015 Annual Research Report
  • [Presentation] Performance Analysis of the Chebyshev Basis Conjugate Gradient Method on the K Computer2015

    • Author(s)
      Yosuke Kumagai, Akihiro Fujii, Teruo Tanaka, Yusuke Hirota, Takeshi Fukaya, Toshiyuki Imamura, and Reiji Suda
    • Organizer
      11th International Conference on Parallel Processing and AppliedMathematics (PPAM2015)
    • Place of Presentation
      クラコフ(ポーランド)
    • Year and Date
      2015-09-06
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] SA-AMG法における粗格子領域集約と性能分析2015

    • Author(s)
      野村 直也, 野村 卓矢, 藤井 昭宏, 田中 輝雄
    • Organizer
      ハイパフォーマンスコンピューティング研究発表会
    • Place of Presentation
      工学院大学(東京都新宿区)
    • Year and Date
      2015-06-26
    • Related Report
      2015 Annual Research Report
  • [Presentation] 代数的多重格子法の粗格子集約パラメタの最適化2015

    • Author(s)
      藤井昭宏, 野村卓矢, 田中輝雄
    • Organizer
      第20回計算工学講演会
    • Place of Presentation
      つくば国際会議場(茨城県つくば市)
    • Year and Date
      2015-06-08
    • Related Report
      2015 Annual Research Report
  • [Funded Workshop] 2018 Conference on Advanced Topics and Auto Tuning in High-Performance Scientific Computing (ATAT in HPSC 2018)2018

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] Conference on Advanced Topics and Auto Tuning in High-Performance Scientific Computing (ATAT2016)2016

    • Place of Presentation
      国立台湾大学
    • Year and Date
      2016-02-19
    • Related Report
      2015 Annual Research Report

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Published: 2015-04-16   Modified: 2022-08-25  

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