{"created":"2023-05-15T09:46:29.204506+00:00","id":8119,"links":{},"metadata":{"_buckets":{"deposit":"0fc289b6-4563-4ac1-a4e4-a1efb907982a"},"_deposit":{"created_by":11,"id":"8119","owners":[11],"pid":{"revision_id":0,"type":"depid","value":"8119"},"status":"published"},"_oai":{"id":"oai:kagawa-u.repo.nii.ac.jp:00008119","sets":["1:49:26:904"]},"author_link":["2450","549","84"],"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2004-12-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"397","bibliographicPageStart":"389","bibliographicVolumeNumber":"77","bibliographic_titles":[{"bibliographic_title":"香川大学経済論叢","bibliographic_titleLang":"ja"},{"bibliographic_title":"Kagawa University economic review","bibliographic_titleLang":"en"}]}]},"item_10002_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"By considering the Le Chatelier-Braun principle in thermodynamics for a system of linear equations, we derive a formula which describes how to calculate the inverse of principal submatrices of a real square matrix, based upon the inverse of the given matrix. This formula is related to the Schur complement, and is due to Duncan. Thus, the second term of Schur complement a la Duncan may be interpreted as the matrix of exact Le Chatelier-Braun effects. All proofs are simple and elementary.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10002_heading_23":{"attribute_name":"見出し","attribute_value_mlt":[{"subitem_heading_banner_headline":"論説","subitem_heading_language":"ja"},{"subitem_heading_banner_headline":"Articles","subitem_heading_language":"en"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"香川大学経済研究所","subitem_publisher_language":"ja"},{"subitem_publisher":"Economic Society, Kagawa University","subitem_publisher_language":"en"}]},"item_10002_relation_12":{"attribute_name":"論文ID（NAID）","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"110004617136","subitem_relation_type_select":"NAID"}}]},"item_10002_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00038281","subitem_source_identifier_type":"NCID"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0389-3030","subitem_source_identifier_type":"PISSN"}]},"item_10002_version_type_20":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"藤本, 喬雄","creatorNameLang":"ja"},{"creatorName":"フジモト, タカオ","creatorNameLang":"ja-Kana"},{"creatorName":"Fujimoto, Takao","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"2450","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"9000002338587","nameIdentifierScheme":"CiNii ID","nameIdentifierURI":"http://ci.nii.ac.jp/nrid/9000002338587"},{"nameIdentifier":"read0136387","nameIdentifierScheme":"researchmap","nameIdentifierURI":"https://researchmap.jp/read0136387"}]},{"creatorNames":[{"creatorName":"久松, 博之","creatorNameLang":"ja"},{"creatorName":"ヒサマツ, ヒロユキ","creatorNameLang":"ja-Kana"},{"creatorName":"Hisamatsu, Hiroyuki","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"549","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"1000090228726 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"},{"nameIdentifier":"ravi","nameIdentifierScheme":"researchmap","nameIdentifierURI":"https://researchmap.jp/ravi"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","displaytype":"detail","filename":"AN00038281_077-3_L019.pdf","filesize":[{"value":"484.6 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://kagawa-u.repo.nii.ac.jp/record/8119/files/AN00038281_077-3_L019.pdf"},"version_id":"26cdb758-fd90-4e04-bb87-c0912d109636"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Duncan identity","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Le Chatelier-Braun principle","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Reverse bordering method","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Schur complements","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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"The Schur Complements and the Le Chatelier-Braun Principle","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The Schur Complements and the Le Chatelier-Braun Principle","subitem_title_language":"en"}]},"item_type_id":"10002","owner":"11","path":["904"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2021-11-09"},"publish_date":"2021-11-09","publish_status":"0","recid":"8119","relation_version_is_last":true,"title":["The Schur Complements and the Le Chatelier-Braun Principle"],"weko_creator_id":"11","weko_shared_id":-1},"updated":"2023-09-22T08:44:34.884469+00:00"}