{"created":"2023-08-02T03:58:06.270035+00:00","id":7250,"links":{},"metadata":{"_buckets":{"deposit":"8ddc7ff0-c1ce-4a2c-9c0d-66c889b01257"},"_deposit":{"created_by":10,"id":"7250","owners":[10],"pid":{"revision_id":0,"type":"depid","value":"7250"},"status":"published"},"_oai":{"id":"oai:repository.lib.tottori-u.ac.jp:00007250","sets":["1:10","2:12"]},"author_link":["813","26897","26898","26899","26900","26901","26902"],"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-10-01","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"112830","bibliographicVolumeNumber":"376","bibliographic_titles":[{"bibliographic_title":"Journal of Computational and Applied Mathematics"},{"bibliographic_title":"Journal of Computational and Applied Mathematics","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"An a posteriori verification method is proposed for the generalized real-symmetric eigenvalue problem and is applied to densely clustered eigenvalue problems in large-scale electronic state calculations. The proposed method is realized by a two-stage process in which the approximate solution is computed by existing numerical libraries and is then verified in a moderate computational time. The procedure returns intervals containing one exact eigenvalue in each interval. Test calculations were carried out for organic device materials, and the verification method confirms that all exact eigenvalues are well separated in the obtained intervals. This verification method will be integrated into EigenKernel (https://github.com/eigenkernel/), which is middleware for various parallel solvers for the generalized eigenvalue problem. Such an a posteriori verification method will be important in future computational science.","subitem_description_type":"Other"}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.cam.2020.112830","subitem_relation_type_select":"DOI"}}]},"item_10001_relation_16":{"attribute_name":"情報源","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"Hoshi Takeo, Ogita Takeshi, Ozaki Katsuhisa, et al. An a posteriori verification method for generalized real-symmetric eigenvalue problems in large-scale electronic state calculations. Journal of Computational and Applied Mathematics. 2020;376:112830."}]}]},"item_10001_relation_17":{"attribute_name":"関連サイト","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://www.sciencedirect.com/science/article/pii/S0377042720301217"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://www.sciencedirect.com/science/article/pii/S0377042720301217","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2020 Elsevier B.V. All rights reserved."}]},"item_10001_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00696002","subitem_source_identifier_type":"NCID"}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"03770427","subitem_source_identifier_type":"ISSN"}]},"item_10001_text_33":{"attribute_name":"著者所属（英）","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Department of Applied Mathematics and Physics, Tottori University"},{"subitem_text_language":"en","subitem_text_value":"Division of Mathematical Sciences, Tokyo Woman’s Christian University"},{"subitem_text_language":"en","subitem_text_value":"Department of Mathematical Sciences, Shibaura Institute of Technology"},{"subitem_text_language":"en","subitem_text_value":"Graduate School of Engineering and Science, Shibaura Institute of Technology"}]},"item_10001_version_type_20":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"星, 健夫"},{"creatorName":"ホシ, タケオ","creatorNameLang":"ja-Kana"},{"creatorName":"Hoshi, Takeo","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"813","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"80272384","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=80272384"},{"nameIdentifier":"100000561","nameIdentifierScheme":"研究者総覧鳥取大学","nameIdentifierURI":"http://researchers.adm.tottori-u.ac.jp/html/100000561_ja.html"}]},{"creatorNames":[{"creatorName":"Ogita, Takeshi"},{"creatorName":"オギタ, タケシ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"26897","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Ozaki, Katsuhisa"},{"creatorName":"オザキ, カツヒサ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"26898","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Terao, Takeshi"},{"creatorName":"テラオ, タケシ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"26899","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Ogita, Takeshi","creatorNameLang":"en"},{"creatorName":"オギタ, タケシ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"26900","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Ozaki, Katsuhisa","creatorNameLang":"en"},{"creatorName":"オザキ, カツヒサ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"26901","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Terao, Takeshi","creatorNameLang":"en"},{"creatorName":"テラオ, タケシ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"26902","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2022-10-01"}],"displaytype":"detail","filename":"jcam376_112830.pdf","filesize":[{"value":"1.9 MB"}],"format":"application/pdf","licensefree":"© 2020 Elsevier B.V. All rights reserved.","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jcam376_112830.pdf","url":"https://repository.lib.tottori-u.ac.jp/record/7250/files/jcam376_112830.pdf"},"version_id":"63e066b2-bb7e-4414-9290-83bc0360c574"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Verification method","subitem_subject_scheme":"Other"},{"subitem_subject":"Generalized real-symmetric eigenvalue problem","subitem_subject_scheme":"Other"},{"subitem_subject":"Electronic state calculation","subitem_subject_scheme":"Other"},{"subitem_subject":"Supercomputer","subitem_subject_scheme":"Other"},{"subitem_subject":"Verification method","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Generalized real-symmetric eigenvalue problem","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Electronic state calculation","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Supercomputer","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"An a posteriori verification method for generalized real-symmetric eigenvalue problems in large-scale electronic state calculations","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"An a posteriori verification method for generalized real-symmetric eigenvalue problems in large-scale electronic state calculations","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"10","path":["12","10"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2020-08-07"},"publish_date":"2020-08-07","publish_status":"0","recid":"7250","relation_version_is_last":true,"title":["An a posteriori verification method for generalized real-symmetric eigenvalue problems in large-scale electronic state calculations"],"weko_creator_id":"10","weko_shared_id":-1},"updated":"2023-11-22T01:48:33.140959+00:00"}