Zeros of Polynomial and an Estimation of its Accuracy

• Item type: JInfP(1)
• 公開日: 1982-09-14
• タイトル: Zeros of Polynomial and an Estimation of its Accuracy
• タイトル / 言語: en
• タイトル: Zeros of Polynomial and an Estimation of its Accuracy
• 言語: eng
• 資源タイプ / 資源タイプ識別子: http://purl.org/coar/resource_type/c_6501
• 資源タイプ: journal article
• 著者所属: College of Agriculture and Veterinary Medicine Nihon University.
• 著者所属(英): en
• 著者所属(英): College of Agriculture and Veterinary Medicine, Nihon University.
• 著者名: Masao, Igarashi
• 著者名(英): Masao, Igarashi
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: YAMASHITA S. and SATAKE S. show that the upper bound of the calculation errors of f(x)=ヨ?n_<k=0>a_kx^k is ヨ?n_<k=0>|a_kx^k|P^<-L> where L is the number of the digits in the mantissa based on P radix. We also show that near the zero of f(x) it is ヨ?n_<k=0>|a_kx^k|P^<-l>/2. Furthermore by using Newton-Raphson's iteration method we propose a method to estimate the accurate significant digits of the numerical result and give some numerical examples.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: YAMASHITA, S. and SATAKE, S. show that the upper bound of the calculation errors of f(x)=ヨ\n_<k=0>a_kx^k is ヨ\n_<k=0>|a_kx^k|P^<-L>, where L is the number of the digits in the mantissa based on P radix. We also show that near the zero of f(x), it is ヨ\n_<k=0>|a_kx^k|P^<-l>/2. Furthermore by using Newton-Raphson's iteration method, we propose a method to estimate the accurate significant digits of the numerical result and give some numerical examples.
• 書誌レコードID / 収録物識別子タイプ: NCID
• 書誌レコードID / 収録物識別子: AA00700121
• 書誌情報: Journal of Information Processing; 巻 5, 号 3, p. 172-175, 発行日 1982-09-14
• ISSN / 収録物識別子タイプ: ISSN
• ISSN / 収録物識別子: 1882-6652
• 出版者 / 言語: ja
• 出版者: 情報処理学会