{"created":"2023-06-19T09:51:12.947968+00:00","id":8278,"links":{},"metadata":{"_buckets":{"deposit":"56dcf363-b826-4a6e-b778-ca4e765d3863"},"_deposit":{"created_by":3,"id":"8278","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"8278"},"status":"published"},"_oai":{"id":"oai:fukuyama-u.repo.nii.ac.jp:00008278","sets":["502:505:675:714"]},"author_link":["44574","44579","44580","44577","44578","44572","44573","44575","44576"],"item_1_biblio_info_14":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2006-12","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"199","bibliographicPageStart":"191","bibliographicVolumeNumber":"30","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":"小林, 富士男"}],"nameIdentifiers":[{"nameIdentifier":"44572","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"尾関, 孝史"}],"nameIdentifiers":[{"nameIdentifier":"44573","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"筒本, 和広"}],"nameIdentifiers":[{"nameIdentifier":"44574","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":"A system specified by ill-conditioned equations has the property that small changes in the coefficients give rise to large changes in the solution. In fact, if the coefficients of ill-conditioned equations are given by some experiments, then no information at all may be, in general, available about the solution. In this case, the coefficient matrix is near singular. As the system is unstable, it is advisable to change the system into the stable one which is equivalent to the original system. This subject is important not only in numerical calculations but also in engineering problems. Let us consider the following system represented by linear equations. [numerical formula] If the each column of coefficients in above equations is transformed by DFT (Discrete Fourier Transform) method respectively, the Fourier coefficients obtained can be arranged so as to make the following simultaneous equations. [numerical formula] where a_<ij>,a_i are Fourier cosine coefficients, b_<ij>,b_i are Fourier sine coefficients and n=2N. In this paper, we will prove that the set of equation (1) is entirely equivalent to equation (2). Next, it will be described that even if the equation (1) ill-conditioned, the transformed equation (2) may become to be well-conditioned.","subitem_description_type":"Other"}]},"item_1_full_name_7":{"attribute_name":"著者名よみ","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"44575","nameIdentifierScheme":"WEKO"}],"names":[{"name":"コバヤシ, フジオ"}]},{"nameIdentifiers":[{"nameIdentifier":"44576","nameIdentifierScheme":"WEKO"}],"names":[{"name":"オゼキ, タカシ"}]},{"nameIdentifiers":[{"nameIdentifier":"44577","nameIdentifierScheme":"WEKO"}],"names":[{"name":"ツツモト, カズヒロ"}]}]},"item_1_full_name_8":{"attribute_name":"著者名(英)","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"44578","nameIdentifierScheme":"WEKO"}],"names":[{"name":"KOBAYASHI, Fujio","nameLang":"en"}]},{"nameIdentifiers":[{"nameIdentifier":"44579","nameIdentifierScheme":"WEKO"}],"names":[{"name":"OZEKI, Takashi","nameLang":"en"}]},{"nameIdentifiers":[{"nameIdentifier":"44580","nameIdentifierScheme":"WEKO"}],"names":[{"name":"TSUTSUMOTO, Kazuhiro","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"},{"subitem_text_language":"en","subitem_text_value":"Department of Information Processing Engineering, Faculty of Engineering, Fukuyama University"},{"subitem_text_language":"en","subitem_text_value":"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"},{"subitem_text_value":"福山大学工学部情報処理工学科"},{"subitem_text_value":"福山大学人間文化学部環境情報学科"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2006-12-01"}],"displaytype":"detail","filename":"KJ00005781733.pdf","filesize":[{"value":"807.4 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"url":"https://fukuyama-u.repo.nii.ac.jp/record/8278/files/KJ00005781733.pdf"},"version_id":"8e94f10c-bb98-4e76-9c19-1c4741c7351b"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"悪条件行列の改善","subitem_subject_scheme":"Other"},{"subitem_subject":"良条件行列","subitem_subject_scheme":"Other"},{"subitem_subject":"悪条件連立1次方程式","subitem_subject_scheme":"Other"},{"subitem_subject":"離散的フーリエ変換","subitem_subject_scheme":"Other"},{"subitem_subject":"高速フーリエ変換","subitem_subject_scheme":"Other"},{"subitem_subject":"条件数","subitem_subject_scheme":"Other"},{"subitem_subject":"Improving the property of ill-conditioned matrix","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"well-conditioned matrix","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"ill-conditioned linear equations","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"DFT","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"FFT","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"condition number","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":"DFTによる悪条件行列の改善","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"DFTによる悪条件行列の改善"},{"subitem_title":"Improving the Property of Ill-Conditioned Matrix by Means of DFT","subitem_title_language":"en"}]},"item_type_id":"1","owner":"3","path":["714"],"pubdate":{"attribute_name":"公開日","attribute_value":"2006-12-01"},"publish_date":"2006-12-01","publish_status":"0","recid":"8278","relation_version_is_last":true,"title":["DFTによる悪条件行列の改善"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-06-19T10:26:33.780305+00:00"}