{"metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00217492","sets":["1164:2240:10902:10903"]},"path":["10903"],"owner":"44499","recid":"217492","title":["現代の任意精度浮動小数点演算ライブラリを用いた悪条件代数方程式の求解"],"pubdate":{"attribute_name":"公開日","attribute_value":"2022-03-10"},"_buckets":{"deposit":"0cf23a95-21d6-4a97-8ac1-ca42899fdcf7"},"_deposit":{"id":"217492","pid":{"type":"depid","value":"217492","revision_id":0},"owners":[44499],"status":"published","created_by":44499},"item_title":"現代の任意精度浮動小数点演算ライブラリを用いた悪条件代数方程式の求解","author_link":["563638"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"現代の任意精度浮動小数点演算ライブラリを用いた悪条件代数方程式の求解"},{"subitem_title":"On solving ill-conditioned algebraic equations using modern arbitrary precision floating-point arithmetic library","subitem_title_language":"en"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"数値計算","subitem_subject_scheme":"Other"}]},"item_type_id":"4","publish_date":"2022-03-10","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/217492/files/IPSJ-HPC22183014.pdf","label":"IPSJ-HPC22183014.pdf"},"date":[{"dateType":"Available","dateValue":"2024-03-10"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-HPC22183014.pdf","filesize":[{"value":"1.1 MB"}],"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":"f4500c80-cd51-45a3-a36f-b73eec14e785","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":"Chebyshev 積分公式の分点を解として持つ代数方程式は，係数の計算における桁落ちが大きだけでなく，その求解においても次数に応じて必要な桁数が増えることが知られている．この悪条件代数方程式を独自の任意精度計算を用いて小野令美が 1024 次まで解いた結果を 1979 年に報告している．本講演ではこの求解に対して MPFR ライブラリをベースとした MPLAPACK，そして我々の開発した BNCpack を用いてベンチマークテストを行い，その結果について報告する．","subitem_description_type":"Other"}]},"item_4_description_8":{"attribute_name":"論文抄録(英)","attribute_value_mlt":[{"subitem_description":"It is well known that the algebraic equation with their roots as abscissas of Chebyshev integration formula, has coefficients when large loss of significant digits are occurred in the calculation, and that the number of digits required increases with the order. In 1979, Harumi Ono reported the results of solving this algebraic equation up to the 1024th order using an arbitrary precision floating-point arithmetic. In this talk, we will report the results of benchmark tests using the current MPFR library, MPLAPACK, and our BNCpack.","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"5","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":"2022-03-10","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"14","bibliographicVolumeNumber":"2022-HPC-183"}]},"relation_version_is_last":true,"weko_creator_id":"44499"},"id":217492,"updated":"2025-01-19T15:28:42.956724+00:00","links":{},"created":"2025-01-19T01:17:58.988178+00:00"}