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| 場所 | 芝浦工業大学大宮キャンパス5号館2F 演習室（数理棟5284室） |
| 講演者 | Siegfried M. Rump (Hamburg University of Technology) |
| 講演タイトル | Accurate floating-point computations |
| 講演概要 | Recently, although a very old subject, there was quite some progress in error estimates of floating-point operations. We discuss some details, starting with some tutorial intended for young researchers, trying in particular to give some encouragement for research. Following details of a new pair arithmetic are presented provably achieving accurate, i.e., faithfully rounded results for arbitrary arithmetic expressions. The 78-page seminal paper by John v. Neumann and H. Goldstine on the accuracy of the numerical solution of linear systems concludes that in single precision from dimension 15 no correct digit of the approximate solution can be expected. That paper is most well-known in numerical analysis. We show that detailed understanding of floating-point operations reveals that mathematical correct bounds for the maximal error of the approximation are obtained for several thousand unknowns. |
| 会場へのアクセス | 会場へのアクセスは以下の URL をご参照ください. http://www.shibaura-it.ac.jp/access/ |
| 世話人 | 石渡 哲哉, 井戸川 知之, 榎本 裕子, 尾崎 克久, 亀子 正喜, サイ 貴生, 清水 健一, 鈴木 達夫, 竹内 慎吾, 田森 宥好, 中津 智則，廣瀬 三平, 福田 亜希子，松田晴英，山澤浩司 |
| 連絡係 | 亀子 正喜 kameko(アットマーク)shibaura-it.ac.jp 石渡 哲哉 tisiwata(アットマーク)shibaura-it.ac.jp 尾崎 克久 ozaki(アットマーク)shibaura-it.ac.jp |