{"created":"2025-01-19T01:19:17.198725+00:00","metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00218944","sets":["1164:2240:10902:10971"]},"path":["10971"],"owner":"44499","recid":"218944","title":["Chebyshev Proxy Rootfinderを用いた非線形方程式の高精度求解の試み"],"pubdate":{"attribute_name":"公開日","attribute_value":"2022-07-20"},"_buckets":{"deposit":"3ccb1561-85eb-4e4f-8c77-c8424c6a19c9"},"_deposit":{"id":"218944","pid":{"type":"depid","value":"218944","revision_id":0},"owners":[44499],"status":"published","created_by":44499},"item_title":"Chebyshev Proxy Rootfinderを用いた非線形方程式の高精度求解の試み","author_link":["570426"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Chebyshev Proxy Rootfinderを用いた非線形方程式の高精度求解の試み"},{"subitem_title":"A Trial approach for accurate solution of nonlinear equation using Chebyshev Proxy Rootfinder","subitem_title_language":"en"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"数値解析","subitem_subject_scheme":"Other"}]},"item_type_id":"4","publish_date":"2022-07-20","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"静岡理工科大学"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"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/218944/files/IPSJ-HPC22185006.pdf","label":"IPSJ-HPC22185006.pdf"},"date":[{"dateType":"Available","dateValue":"2024-07-20"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-HPC22185006.pdf","filesize":[{"value":"961.4 kB"}],"mimetype":"application/pdf","priceinfo":[{"tax":["include_tax"],"price":"660","billingrole":"5"},{"tax":["include_tax"],"price":"330","billingrole":"6"},{"tax":["include_tax"],"price":"0","billingrole":"14"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"417888d8-179b-4c39-81e2-25910598143c","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2022 by the Information Processing Society of Japan"}]},"item_4_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"幸谷, 智紀"}],"nameIdentifiers":[{}]}]},"item_4_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10463942","subitem_source_identifier_type":"NCID"}]},"item_4_textarea_12":{"attribute_name":"Notice","attribute_value_mlt":[{"subitem_textarea_value":"SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc."}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_18gh","resourcetype":"technical report"}]},"item_4_source_id_11":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2188-8841","subitem_source_identifier_type":"ISSN"}]},"item_4_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"一般に，超越関数を含む非線形方程式の解の導出は Newton 法などの反復解法で行われる．Chebyshev Proxy Rootfinder（CPR）は，超越関数を含む非線形方程式を Chebyshev 多項式の線形結合で近似し，対応する Chebyshev-コンパニオン行列の固有値から実数解のみを抽出する手法で，反復解法の初期値を高精度に導出することが期待できる．本講演では数値実験を通じて CPR がどの程度高精度な解を求めるのに有効であるかを示し，更に高速化するための課題を議論する．","subitem_description_type":"Other"}]},"item_4_description_8":{"attribute_name":"論文抄録(英)","attribute_value_mlt":[{"subitem_description":"Nonlinear equations involving transcendental functions are generally solved by an iterative solution method such as Newton's method. To obtain better initial guesses for it. we can exploit Chebyshev Proxy Rootfinder (CPR) which produce linear combination of Chebyshev polynomials to approximate nonlinear equation and select real eigenvalues using eigensolver for corresponding Chebyshev-companion matrix. In this presentation, we show how CPR is effective to derive accurate solutions through numerical experiments, and also discuss some issues related to acceleration of this whole process.","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"4","bibliographic_titles":[{"bibliographic_title":"研究報告ハイパフォーマンスコンピューティング（HPC）"}],"bibliographicPageStart":"1","bibliographicIssueDates":{"bibliographicIssueDate":"2022-07-20","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"6","bibliographicVolumeNumber":"2022-HPC-185"}]},"relation_version_is_last":true,"weko_creator_id":"44499"},"id":218944,"updated":"2025-01-19T14:58:50.578480+00:00","links":{}}