{"created":"2023-05-15T11:59:51.494319+00:00","id":6464,"links":{},"metadata":{"_buckets":{"deposit":"6c9a3422-e49d-47a3-a6ec-bc5f9df21cea"},"_deposit":{"created_by":14,"id":"6464","owners":[14],"pid":{"revision_id":0,"type":"depid","value":"6464"},"status":"published"},"_oai":{"id":"oai:kyutech.repo.nii.ac.jp:00006464","sets":["12:13:307"]},"author_link":["27109","27110","3432"],"item_25_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-03-31","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"67","bibliographicPageEnd":"28","bibliographicPageStart":"1","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 focus on a pair of linear terms, which generates the respective quadratic functions (sums of squares) through an elementary inequality. We show that a complementary identity plays a fundamental part in establishing a dual relation between primal and dual. The identity produces the pair with an equality condition. The condition turns out to be a linear system of 2n-equation in 2n-variable. The system yields a couple of solutions, one is a minimum solution and the other is a maximum one. In the n-variable pair, 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 solution is also given by dynamic programming. Thus Fibonacci complementary duality is established through the complementary identity approach.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_25_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.18997/00007674","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"},{"subitem_publisher":"Kyushu Institute of Technology Faculty of Engineering","subitem_publisher_language":"en"}]},"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":[{}]},{"creatorNames":[{"creatorName":"Kimura,  Yutaka","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"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":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{},{},{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-03-31"}],"displaytype":"detail","filename":"math67_p1_28.pdf","filesize":[{"value":"166.6 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"math67_p1_28.pdf","url":"https://kyutech.repo.nii.ac.jp/record/6464/files/math67_p1_28.pdf"},"version_id":"145da7f2-3a2b-4293-8957-37f2779dbc01"}]},"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—","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On Complementary Duals—Both Fixed Points—","subitem_title_language":"en"}]},"item_type_id":"25","owner":"14","path":["307"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2020-03-31"},"publish_date":"2020-03-31","publish_status":"0","recid":"6464","relation_version_is_last":true,"title":["On Complementary Duals—Both Fixed Points—"],"weko_creator_id":"14","weko_shared_id":-1},"updated":"2023-11-01T07:12:20.906982+00:00"}