{"created":"2025-01-18T22:59:00.443163+00:00","updated":"2025-01-22T17:45:23.023561+00:00","metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00029056","sets":["1164:2240:2263:2264"]},"path":["2264"],"owner":"1","recid":"29056","title":["改良版RIC2S分解前処理つきCG法の収束性評価"],"pubdate":{"attribute_name":"公開日","attribute_value":"2004-12-17"},"_buckets":{"deposit":"8ed91794-8840-40c5-9def-f1ae49937a2c"},"_deposit":{"id":"29056","pid":{"type":"depid","value":"29056","revision_id":0},"owners":[1],"status":"published","created_by":1},"item_title":"改良版RIC2S分解前処理つきCG法の収束性評価","author_link":["0","0"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"改良版RIC2S分解前処理つきCG法の収束性評価"},{"subitem_title":"Evaluation of Convergenge Rate of Modified RIC2S Factorization Preconditioning for CG method","subitem_title_language":"en"}]},"item_type_id":"4","publish_date":"2004-12-17","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"九州大学大学院システム情報科学府"},{"subitem_text_value":"九州大学大学院システム情報科学府"},{"subitem_text_value":"九州大学情報基盤センター"},{"subitem_text_value":"九州大学大学院システム情報科学府"}]},"item_4_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Information Science and Electrical Engineering, Kyushu University","subitem_text_language":"en"},{"subitem_text_value":"Graduate School of Information Science and Electrical Engineering, Kyushu University","subitem_text_language":"en"},{"subitem_text_value":"Computing and Communications Center, Kyushu University","subitem_text_language":"en"},{"subitem_text_value":"Graduate School of Information Science and Electrical Engineering, Kyushu University","subitem_text_language":"en"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"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/29056/files/IPSJ-HPC04100001.pdf"},"date":[{"dateType":"Available","dateValue":"2006-12-17"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-HPC04100001.pdf","filesize":[{"value":"360.9 kB"}],"mimetype":"application/pdf","priceinfo":[{"tax":["include_tax"],"price":"660","billingrole":"5"},{"tax":["include_tax"],"price":"330","billingrole":"6"},{"tax":["include_tax"],"price":"0","billingrole":"14"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"b7055241-33ab-4128-b35c-39f76eff0c7b","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2004 by the Information Processing Society of Japan"}]},"item_4_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"井上, 明彦"},{"creatorName":"柿原, 正伸"},{"creatorName":"藤野, 清次"},{"creatorName":"吉田, 正浩"}],"nameIdentifiers":[{}]}]},"item_4_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Akihiko, Inoue","creatorNameLang":"en"},{"creatorName":"Masanobu, Kakihara","creatorNameLang":"en"},{"creatorName":"Seiji, Fujino","creatorNameLang":"en"},{"creatorName":"Masahiro, Yoshida","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_4_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10463942","subitem_source_identifier_type":"NCID"}]},"item_4_textarea_12":{"attribute_name":"Notice","attribute_value_mlt":[{"subitem_textarea_value":"SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc."}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_18gh","resourcetype":"technical report"}]},"item_4_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"共役勾配法は収束性を向上させるために前処理と共に用いられることが多く，その前処理として不完全コレスキー分解が広く用いられてきた．しかし，この不完全分解は行列によっては分解の途中で対角項の値が負になり分解の破綻が起こることがわかってきた．そこで，近年ロバストな分解として，RIC分解やRIC2S分解が提案された．RIC分解においては，分解中に行う対角項に対する修正量を緩和するという処理を行うことで収束性を向上させた対角緩和付き準RIC分解が共著者らにより提案され，数値実験でその有効性が示されている．そこで，本論文では，RIC2S分解において要素を棄却するときの修正量に対して緩和処理を適用し，収束性の向上を図る．そして，数値実験により，その有効性を検証する．","subitem_description_type":"Other"}]},"item_4_description_8":{"attribute_name":"論文抄録(英)","attribute_value_mlt":[{"subitem_description":"Incomplete Cholesky factorization preconditioning has been used with CG method to improve convergence rate. However, the incomplete factorization can fail for a general symmetric positive definite matrix due to the occurrence of non-positive pivots. RIC factorization and RIC2S factorization have been suggested to overcome this problem. For RIC factorization, revising relaxation on amount of modification for diagonal entries was effective strategy. In this paper, we adopt the diagonal relaxation in RIC2S factorization for improving convergence rate. Numerical experiments shows the validity of proposed preconditioning.","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"6","bibliographic_titles":[{"bibliographic_title":"情報処理学会研究報告ハイパフォーマンスコンピューティング（HPC）"}],"bibliographicPageStart":"1","bibliographicIssueDates":{"bibliographicIssueDate":"2004-12-17","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"128(2004-HPC-100)","bibliographicVolumeNumber":"2004"}]},"relation_version_is_last":true,"weko_creator_id":"1"},"id":29056,"links":{}}