{"created":"2023-06-19T09:47:01.086497+00:00","id":1484,"links":{},"metadata":{"_buckets":{"deposit":"99c7cf7a-eb0a-42e8-a873-2dc2d1690bcc"},"_deposit":{"created_by":3,"id":"1484","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"1484"},"status":"published"},"_oai":{"id":"oai:keiai.repo.nii.ac.jp:00001484","sets":["1:146:151"]},"author_link":["7356","7355"],"item_3_biblio_info_12":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1995-10-30","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"5","bibliographicPageEnd":"72","bibliographicPageStart":"49","bibliographic_titles":[{"bibliographic_title":"国際教養学論集"},{"bibliographic_title":"Journal of International Liberal Arts","bibliographic_titleLang":"en"}]}]},"item_3_description_10":{"attribute_name":"抄録(日)","attribute_value_mlt":[{"subitem_description":"本論文では,多項式の根の誤差と係数入力誤差に関してHorner法平野の方法を応用し,根の誤差を減少させるための多項式の係数計算法を改善することが目的である。文献における多項式の入力係数の変動とそれによって生じる根の誤差の関係式を応用し,実際にコンピュータに入力された係数誤差と根の誤差の関係から,入力係数誤差によって生じる個々の根の誤差を改善するための理論的,実際的な係数計算方法を提案する。ここでは,任意の根に対して原点付近への平行移動を,組み立て除法を用い,係数計算前に対して,係数計算時全入力係数誤差を減少すれば,求められる根の誤差は少なくなることを理論的に示した。ここでは根は実数で単根,重根を持つ場合の改善を扱い,単精度で根を計算する場合,すべての係数入力誤差を減少させれば改善が行なわれることを示した。本方法による係数移動計算で求めた倍精度係数を単精度に丸めた係数を使用することで,種々の多項式の根を求める計算法に対して,ニュートン法,Birge-Vieta法,両方法で計算を行なった結果,単精度の根の誤差は非常に改善された。","subitem_description_type":"Other"}]},"item_3_description_11":{"attribute_name":"抄録(英)","attribute_value_mlt":[{"subitem_description":"It is the purpose of this paper to point out how to improve the method of calculation of coefficients of the polynomial by using Horner's method and Hirano's method for many ways of the numerical computation. The anthor calculates the equality, [numerical formula] from [numerical formula] &lrtri;a_n, &lrtri;a_<n-1>…, &lrtri;a_2, &lrtri;a_1, are the input errors of coefficient the n dimensional polynomial in the numerical computation. The author discusses the improvement of the individual real root by the input coefficient errors for many ways of the numerical computation. The parallel shift is used with the synthetic division. The compution of the single precision uses the parallel shift with the synthetic division by the double precision for decreasing all input coefficient errors. As a result of the parallel shift using how to improve the method of calculation of coefficients of the polynomial, the errors are improved in the method of the Birge-Vieta and Newton for many ways of the numerical computation.","subitem_description_type":"Other"}]},"item_3_source_id_1":{"attribute_name":"雑誌書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AN1038070X","subitem_source_identifier_type":"NCID"}]},"item_3_text_6":{"attribute_name":"著者所属(日)","attribute_value_mlt":[{"subitem_text_value":"国際教養科"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"田口, 功"},{"creatorName":"タグチ, イサオ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Taguchi, Isao","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-08-18"}],"displaytype":"detail","filename":"KJ00004438853.pdf","filesize":[{"value":"814.1 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"KJ00004438853.pdf","url":"https://keiai.repo.nii.ac.jp/record/1484/files/KJ00004438853.pdf"},"version_id":"b83b87ab-a355-42c8-a1e5-58bcf0df5dfa"}]},"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":"実根を持つ多項式の係数入力誤差による根の誤差を改善するための多項式係数計算法","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"実根を持つ多項式の係数入力誤差による根の誤差を改善するための多項式係数計算法"},{"subitem_title":"Improving the Calculation Method of Coefficient's of Polynomials with Coefficient Errors for Simple Real Roots","subitem_title_language":"en"}]},"item_type_id":"3","owner":"3","path":["151"],"pubdate":{"attribute_name":"公開日","attribute_value":"2016-08-18"},"publish_date":"2016-08-18","publish_status":"0","recid":"1484","relation_version_is_last":true,"title":["実根を持つ多項式の係数入力誤差による根の誤差を改善するための多項式係数計算法"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-06-19T10:27:58.670990+00:00"}