{"created":"2025-01-19T01:19:25.076902+00:00","updated":"2025-01-19T14:55:53.333317+00:00","metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00219083","sets":["934:1119:10960:10961"]},"path":["10961"],"owner":"44499","recid":"219083","title":["Numerical Investigation into the Mixed Precision GMRES(m) Method Using FP64 and FP32"],"pubdate":{"attribute_name":"公開日","attribute_value":"2022-07-28"},"_buckets":{"deposit":"e53354c7-1aac-46bf-bc2c-3cd96c9c3e68"},"_deposit":{"id":"219083","pid":{"type":"depid","value":"219083","revision_id":0},"owners":[44499],"status":"published","created_by":44499},"item_title":"Numerical Investigation into the Mixed Precision GMRES(m) Method Using FP64 and FP32","author_link":["571095","571098","571096","571092","571097","571094","571091","571093"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Numerical Investigation into the Mixed Precision GMRES(m) Method Using FP64 and FP32"},{"subitem_title":"Numerical Investigation into the Mixed Precision GMRES(m) Method Using FP64 and FP32","subitem_title_language":"en"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"sparse linear solver, iterative refinement, low precision computing, mixed precision algorithm","subitem_subject_scheme":"Other"}]},"item_type_id":"3","publish_date":"2022-07-28","item_3_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Information Science and Technology, Hokkaido University"},{"subitem_text_value":"Information Initiative Center, Hokkaido University／JST Presto"},{"subitem_text_value":"School of Mathematical Sciences, Ocean University of China"},{"subitem_text_value":"Information Initiative Center, Hokkaido University"}]},"item_3_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Information Science and Technology, Hokkaido University","subitem_text_language":"en"},{"subitem_text_value":"Information Initiative Center, Hokkaido University / JST Presto","subitem_text_language":"en"},{"subitem_text_value":"School of Mathematical Sciences, Ocean University of China","subitem_text_language":"en"},{"subitem_text_value":"Information Initiative Center, Hokkaido University","subitem_text_language":"en"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_publisher":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"情報処理学会","subitem_publisher_language":"ja"}]},"publish_status":"0","weko_shared_id":-1,"item_file_price":{"attribute_name":"Billing file","attribute_type":"file","attribute_value_mlt":[{"url":{"url":"https://ipsj.ixsq.nii.ac.jp/record/219083/files/IPSJ-TACS1501004.pdf","label":"IPSJ-TACS1501004.pdf"},"date":[{"dateType":"Available","dateValue":"2024-07-28"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-TACS1501004.pdf","filesize":[{"value":"732.6 kB"}],"mimetype":"application/pdf","priceinfo":[{"tax":["include_tax"],"price":"0","billingrole":"5"},{"tax":["include_tax"],"price":"0","billingrole":"6"},{"tax":["include_tax"],"price":"0","billingrole":"16"},{"tax":["include_tax"],"price":"0","billingrole":"11"},{"tax":["include_tax"],"price":"0","billingrole":"14"},{"tax":["include_tax"],"price":"0","billingrole":"15"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"13f2d904-51e1-4fa1-85db-b695e2a3a2e8","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2022 by the Information Processing Society of Japan"}]},"item_3_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Yingqi, Zhao"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Takeshi, Fukaya"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Linjie, Zhang"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Takeshi, Iwashita"}],"nameIdentifiers":[{}]}]},"item_3_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Yingqi, Zhao","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Takeshi, Fukaya","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Linjie, Zhang","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Takeshi, Iwashita","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_3_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11833852","subitem_source_identifier_type":"NCID"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_6501","resourcetype":"journal article"}]},"item_3_source_id_11":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1882-7829","subitem_source_identifier_type":"ISSN"}]},"item_3_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"In this paper, a mixed precision variant of the GMRES(m) method using FP64 and FP32 is investigated. Through numerical experiments for various test matrices and different settings of the restart frequency m, its numerical behavior is examined in detail and compared with that of the conventional GMRES(m) method using only FP64. From the obtained numerical results, it is confirmed that if a problem is solved by the conventional GMRES(m) method, basically the mixed precision GMRES(m) can also solve it. In addition, in the case of using small m, the number of the total iterations is almost equivalent between the two methods. However, when m grows, a different tendency is observed; the number of the iterations decreases in the conventional methods but increases in the mixed precision method. These results and observations provide new insights of the mixed precision GMRES(m) method, which will be helpful for the efficient use in applications and the further improvement of the method.\n------------------------------\nThis is a preprint of an article intended for publication Journal of\nInformation Processing(JIP). This preprint should not be cited. This\narticle should be cited as: Journal of Information Processing Vol.30(2022) (online)\n------------------------------","subitem_description_type":"Other"}]},"item_3_description_8":{"attribute_name":"論文抄録(英)","attribute_value_mlt":[{"subitem_description":"In this paper, a mixed precision variant of the GMRES(m) method using FP64 and FP32 is investigated. Through numerical experiments for various test matrices and different settings of the restart frequency m, its numerical behavior is examined in detail and compared with that of the conventional GMRES(m) method using only FP64. From the obtained numerical results, it is confirmed that if a problem is solved by the conventional GMRES(m) method, basically the mixed precision GMRES(m) can also solve it. In addition, in the case of using small m, the number of the total iterations is almost equivalent between the two methods. However, when m grows, a different tendency is observed; the number of the iterations decreases in the conventional methods but increases in the mixed precision method. These results and observations provide new insights of the mixed precision GMRES(m) method, which will be helpful for the efficient use in applications and the further improvement of the method.\n------------------------------\nThis is a preprint of an article intended for publication Journal of\nInformation Processing(JIP). This preprint should not be cited. This\narticle should be cited as: Journal of Information Processing Vol.30(2022) (online)\n------------------------------","subitem_description_type":"Other"}]},"item_3_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographic_titles":[{"bibliographic_title":"情報処理学会論文誌コンピューティングシステム（ACS）"}],"bibliographicIssueDates":{"bibliographicIssueDate":"2022-07-28","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicVolumeNumber":"15"}]},"relation_version_is_last":true,"weko_creator_id":"44499"},"id":219083,"links":{}}