{"created":"2025-01-18T23:57:16.426702+00:00","metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00116121","sets":["6504:7950:7953"]},"path":["7953"],"owner":"1","recid":"116121","title":["連立非線形方程式について"],"pubdate":{"attribute_name":"公開日","attribute_value":"1989-03-15"},"_buckets":{"deposit":"31d208f0-87ec-4be7-b365-b09744af7c6c"},"_deposit":{"id":"116121","pid":{"type":"depid","value":"116121","revision_id":0},"owners":[1],"status":"published","created_by":1},"item_title":"連立非線形方程式について","author_link":[],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"連立非線形方程式について"},{"subitem_title":"On a set of nonlinear equations熊谷 泰幸/平野 菅保","subitem_title_language":"en"}]},"item_type_id":"22","publish_date":"1989-03-15","item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_22_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"日本大学大学院"},{"subitem_text_value":"日本大学"}]},"item_22_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"NIHON, Univ.","subitem_text_language":"en"},{"subitem_text_value":"NIHON, Univ.","subitem_text_language":"en"}]},"item_publisher":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"情報処理学会","subitem_publisher_language":"ja"}]},"publish_status":"0","weko_shared_id":-1,"item_file_price":{"attribute_name":"Billing file","attribute_type":"file","attribute_value_mlt":[{"url":{"url":"https://ipsj.ixsq.nii.ac.jp/record/116121/files/KJ00001332859.pdf"},"date":[{"dateType":"Available","dateValue":"1989-03-15"}],"format":"application/pdf","filename":"KJ00001332859.pdf","filesize":[{"value":"102.4 kB"}],"mimetype":"application/pdf","accessrole":"open_date","version_id":"5a414d34-d6ee-4d99-a606-1baa2dfcd00d","displaytype":"detail","licensetype":"license_note"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_5794","resourcetype":"conference paper"}]},"item_22_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00349328","subitem_source_identifier_type":"NCID"}]},"item_22_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"連立非線形方程式 F_i(x_1,…,x_n)=0 (i=1,…,n) (1) の求めたい1組の解(複素解を含む。)を必ず求めることのできる解法(反復法)は多くの人によって昔から研究されているが、そのような解法は存在していない。よく用いられる解法としては、多変数のニュートン法がある。しかし、この解法も、連立非線形方程式(1)の非線形性が強いと、求めたい1組の解を必ず求めることができる、適当な出発値を変数毎に与えることは、1組の解を求めることと同様に、ときには、それ以上に非常にむずかしい。たとえば、係数がすべて実数であり、求めたい1組の解の中に複素数の解を含む場合には、全ての変数の出発値を実数にとると、ニュートン法では永久に1組の解を求めることができないことは明らかである。すなわち、このような場合には、大型の電子計算機では容易にできる多数桁による計算、多倍長計算を行っても求めたい1組の解には収束しない。","subitem_description_type":"Other"}]},"item_22_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"109","bibliographic_titles":[{"bibliographic_title":"全国大会講演論文集"}],"bibliographicPageStart":"108","bibliographicIssueDates":{"bibliographicIssueDate":"1989-03-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"基礎理論及び基礎技術","bibliographicVolumeNumber":"第38回"}]},"relation_version_is_last":true,"weko_creator_id":"1"},"id":116121,"updated":"2025-01-21T05:52:53.621353+00:00","links":{}}