{"created":"2023-06-19T09:51:05.865711+00:00","id":8111,"links":{},"metadata":{"_buckets":{"deposit":"b6c8a3ce-f60d-42ab-abd0-41ac6598fb9f"},"_deposit":{"created_by":3,"id":"8111","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"8111"},"status":"published"},"_oai":{"id":"oai:fukuyama-u.repo.nii.ac.jp:00008111","sets":["502:505:675:710"]},"author_link":["43488","43487","43486"],"item_1_biblio_info_14":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2002-12","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"123","bibliographicPageStart":"113","bibliographicVolumeNumber":"26","bibliographic_titles":[{"bibliographic_title":"福山大学工学部紀要"}]}]},"item_1_creator_6":{"attribute_name":"著者名(日)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"尾関, 孝史"}],"nameIdentifiers":[{"nameIdentifier":"43486","nameIdentifierScheme":"WEKO"}]}]},"item_1_description_1":{"attribute_name":"ページ属性","attribute_value_mlt":[{"subitem_description":"P(論文)","subitem_description_type":"Other"}]},"item_1_description_12":{"attribute_name":"抄録(英)","attribute_value_mlt":[{"subitem_description":"In this paper, we discuss the limiting behavior of the search direction of the steepest descent method in minimizing general nonlinear function. It is shown that the search direction asymptotically alternates between two directions represented by linear combinations of two eigenvectors of the Hessian matrix of nonlinear function at the minimum point in almost every case. This is similar to the phenomenon in minimizing the quadratic form. However, we also show some special case which is different from the one of the quadratic form. Moreover, we give some necessary conditions in which special cases appear.","subitem_description_type":"Other"}]},"item_1_full_name_7":{"attribute_name":"著者名よみ","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"43487","nameIdentifierScheme":"WEKO"}],"names":[{"name":"オゼキ, タカシ"}]}]},"item_1_full_name_8":{"attribute_name":"著者名(英)","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"43488","nameIdentifierScheme":"WEKO"}],"names":[{"name":"OZEKI, Takashi","nameLang":"en"}]}]},"item_1_source_id_13":{"attribute_name":"雑誌書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AN00217655","subitem_source_identifier_type":"NCID"}]},"item_1_text_10":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Department of Information Processing Engineering, Faculty of Engineering, Fukuyama University"}]},"item_1_text_9":{"attribute_name":"著者所属(日)","attribute_value_mlt":[{"subitem_text_value":"福山大学工学部情報処理工学科"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2002-12-01"}],"displaytype":"detail","filename":"KJ00005781496.pdf","filesize":[{"value":"816.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"url":"https://fukuyama-u.repo.nii.ac.jp/record/8111/files/KJ00005781496.pdf"},"version_id":"925f305b-65d9-43ba-b87b-59522c18f2ef"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"最急降下法","subitem_subject_scheme":"Other"},{"subitem_subject":"非線型関数","subitem_subject_scheme":"Other"},{"subitem_subject":"反復法","subitem_subject_scheme":"Other"},{"subitem_subject":"収束","subitem_subject_scheme":"Other"},{"subitem_subject":"Steepest Descent Method","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Nonlinear Function","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Iterative Method","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Convergence","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"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":"非線形関数における最急降下法の振る舞い","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"非線形関数における最急降下法の振る舞い"},{"subitem_title":"Behavior of the Steepest Descent Method in Minimizing Nonlinear Function","subitem_title_language":"en"}]},"item_type_id":"1","owner":"3","path":["710"],"pubdate":{"attribute_name":"公開日","attribute_value":"2002-12-01"},"publish_date":"2002-12-01","publish_status":"0","recid":"8111","relation_version_is_last":true,"title":["非線形関数における最急降下法の振る舞い"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-06-19T10:29:54.871075+00:00"}