{"created":"2023-05-15T12:00:40.062914+00:00","id":7570,"links":{},"metadata":{"_buckets":{"deposit":"7c66d8fb-4799-41ec-ab95-e3e14b2044b8"},"_deposit":{"created_by":14,"id":"7570","owners":[14],"pid":{"revision_id":0,"type":"depid","value":"7570"},"status":"published"},"_oai":{"id":"oai:kyutech.repo.nii.ac.jp:00007570","sets":["12:13:312"]},"author_link":["32689","32690","3432"],"item_25_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2022-03-31","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"69","bibliographicPageEnd":"34","bibliographicPageStart":"7","bibliographic_titles":[{"bibliographic_title":"Bulletin of the Kyushu Institute of Technology. Pure and applied mathematics","bibliographic_titleLang":"en"},{"bibliographic_title":"九州工業大学研究報告. 数理 ","bibliographic_titleLang":"ja"}]}]},"item_25_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We consider a quadratic minimization (primal) problem with both fixed endpoints and its associated maximization (dual) problem from a view point of complementarity. We show that a new complementary identity produces the pair with an equality condition. The condition is a linear system of (2n + 1)-equation on (2n + 1)-variable. The system yields a couple of solutions; one is a minimum solution to n-variable primal and the other is a maximum one to (n + 1)-variable dual. Both the solutions turn out to be complementary. The optimal solution is characterized by the backward Fibonacci sequence. The duality is enhanced through conjugate function. The optimal solution is also given by dynamic programming.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_25_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.18997/00008773","subitem_identifier_reg_type":"JaLC"}]},"item_25_publisher_7":{"attribute_name":"出版社","attribute_value_mlt":[{"subitem_publisher":"九州工業大学大学院工学研究院","subitem_publisher_language":"ja"}]},"item_25_select_59":{"attribute_name":"査読の有無","attribute_value_mlt":[{"subitem_select_item":"no"}]},"item_25_source_id_10":{"attribute_name":"NCID","attribute_value_mlt":[{"subitem_source_identifier":"AA11237040","subitem_source_identifier_type":"NCID"}]},"item_25_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2758-9889","subitem_source_identifier_type":"EISSN"},{"subitem_source_identifier":"1343-8670","subitem_source_identifier_type":"PISSN"}]},"item_25_version_type_58":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Iwamoto,  Seiichi","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"32689","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Kimura,  Yutaka","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"32690","nameIdentifierScheme":"WEKO"}]},{"creatorAffiliations":[{"affiliationNames":[{"affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"Fujita, Toshiharu","creatorNameLang":"en"},{"creatorName":"藤田, 敏治","creatorNameLang":"ja"},{"creatorName":"フジタ, トシハル","creatorNameLang":"ja-Kana"}],"familyNames":[{"familyName":"Fujita","familyNameLang":"en"},{"familyName":"藤田","familyNameLang":"ja"},{"familyName":"フジタ","familyNameLang":"ja-Kana"}],"givenNames":[{"givenName":"Toshiharu","givenNameLang":"en"},{"givenName":"敏治","givenNameLang":"ja"},{"givenName":"トシハル","givenNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"3432","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"60295003","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/nrid/1000060295003"},{"nameIdentifier":"56330172800","nameIdentifierScheme":"Scopus著者ID","nameIdentifierURI":"https://www.scopus.com/authid/detail.uri?authorId=56330172800"},{"nameIdentifier":"141","nameIdentifierScheme":"九工大研究者情報","nameIdentifierURI":"https://hyokadb02.jimu.kyutech.ac.jp/html/141_ja.html"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2022-03-31"}],"displaytype":"detail","filename":"math69_p7_34.pdf","filesize":[{"value":"165.2 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"math69_p7_34.pdf","url":"https://kyutech.repo.nii.ac.jp/record/7570/files/math69_p7_34.pdf"},"version_id":"3386dad5-bfef-4a6b-a3bd-7fc7f307ccc0"}]},"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":"On Complementary Duals—Both Fixed Points (II)—","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On Complementary Duals—Both Fixed Points (II)—","subitem_title_language":"en"}]},"item_type_id":"25","owner":"14","path":["312"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-03-31"},"publish_date":"2022-03-31","publish_status":"0","recid":"7570","relation_version_is_last":true,"title":["On Complementary Duals—Both Fixed Points (II)—"],"weko_creator_id":"14","weko_shared_id":-1},"updated":"2023-11-01T05:38:46.783194+00:00"}