Numerical Behavior of Mixed Precision Iterative Refinement Using the BiCGSTAB Method

• Item type: Trans(1)
• 公開日: 2023-11-29
• タイトル: Numerical Behavior of Mixed Precision Iterative Refinement Using the BiCGSTAB Method
• タイトル / 言語: en
• タイトル: Numerical Behavior of Mixed Precision Iterative Refinement Using the BiCGSTAB Method
• 言語: eng
• キーワード / 主題Scheme: Other
• キーワード / 主題: sparse linear solver, iterative refinement, low precision computing, mixed precision algorithm, BiCGSTAB method
• 資源タイプ / 資源タイプ識別子: http://purl.org/coar/resource_type/c_6501
• 資源タイプ: journal article
• 著者所属: Graduate School of Information Science and Technology, Hokkaido University
• 著者所属: Information Initiative Center, Hokkaido University
• 著者所属: Information Initiative Center, Hokkaido University
• 著者所属(英): en
• 著者所属(英): Graduate School of Information Science and Technology, Hokkaido University
• 著者所属(英): en
• 著者所属(英): Information Initiative Center, Hokkaido University
• 著者所属(英): en
• 著者所属(英): Information Initiative Center, Hokkaido University
• 著者名: Yingqi, Zhao; Takeshi, Fukaya; Takeshi, Iwashita
• 著者名(英): Yingqi, Zhao; Takeshi, Fukaya; Takeshi, Iwashita
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: Mixed precision numerical methods using low precision computing have attracted much attention under recent computational hardware trends. In this research, we focus on solving large, sparse, and non-symmetric linear systems, and consider developing a numerical method based on a mixed precision variant of the iterative refinement scheme (MP-IR), in which we can exploit low precision computing and provide a computed solution with the same accuracy as that obtained by conventional methods without low precision computing. We employ the BiCGSTAB solver with FP32 as an inner solver of MP-IR and investigate its numerical behavior through numerical experiments. From the analyses on the obtained results including a comparison with MP-IR using GMRES(m), which is also known as MP-GMRES(m) and has been widely studied, the potential of MP-IR using BiCGSTAB has been confirmed. Together with other obtained results, this paper provides insights that are helpful in developing an efficient mixed precision linear solver for practical applications.; ------------------------------; This is a preprint of an article intended for publication Journal of; Information Processing(JIP). This preprint should not be cited. This; article should be cited as: Journal of Information Processing Vol.31(2023) (online); ------------------------------
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: Mixed precision numerical methods using low precision computing have attracted much attention under recent computational hardware trends. In this research, we focus on solving large, sparse, and non-symmetric linear systems, and consider developing a numerical method based on a mixed precision variant of the iterative refinement scheme (MP-IR), in which we can exploit low precision computing and provide a computed solution with the same accuracy as that obtained by conventional methods without low precision computing. We employ the BiCGSTAB solver with FP32 as an inner solver of MP-IR and investigate its numerical behavior through numerical experiments. From the analyses on the obtained results including a comparison with MP-IR using GMRES(m), which is also known as MP-GMRES(m) and has been widely studied, the potential of MP-IR using BiCGSTAB has been confirmed. Together with other obtained results, this paper provides insights that are helpful in developing an efficient mixed precision linear solver for practical applications.; ------------------------------; This is a preprint of an article intended for publication Journal of; Information Processing(JIP). This preprint should not be cited. This; article should be cited as: Journal of Information Processing Vol.31(2023) (online); ------------------------------
• 書誌レコードID / 収録物識別子タイプ: NCID
• 書誌レコードID / 収録物識別子: AA11833852
• 書誌情報: 情報処理学会論文誌コンピューティングシステム（ACS）; 巻 16, 号 2, 発行日 2023-11-29
• ISSN / 収録物識別子タイプ: ISSN
• ISSN / 収録物識別子: 1882-7829
• 出版者 / 言語: ja
• 出版者: 情報処理学会