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日本代购-有理算術演算 高精度数値計算のためのアルゴリズムとプログラミング
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日本代购-タイトル 有理算術演算 高精度数値計算のためのアルゴリズムとプログラミング ISBN/JAN 9784627872516 著者 寒川 光/高橋 大介 出版社 森北出版 発売日 2023/09/30 商品説明 究極の精度である「有理算術演算(rational arithmetic)」に基づく数値計算法を解説した,初の専門書.有理算術演算は分数式の延長線上にある考え方で,有理数に対しては誤差のない数値計算が可能となり,無理数に対しても任意の精度で計算することができます.本書では,有理算術演算に基づいた線形代数や無理数の計算手法から,高速フーリエ変換や法算術演算を用いた高速化手法まで,C++での実装とともに詳しく解説します.有理数の扱い方,C++のプログラミング手法,数値線形代数の初歩といった基礎的な内容も丁寧に説明しているので,現役の研究者や開発者だけでなく,これから学び始める学生の方々にもおすすめの一冊です.目次第1部 有理算術演算の構成 第1章 数の分類と「有理数計算プログラミング環境」の変数型 第2章 有理算術演算の実装 第3章 数値線形代数計算 第4章 有理算術演算による無理数の計算第2部 有理算術演算の高速化 第5章 乗算の高速化 第6章 法算術演算による有理算術演算の高速化 第7章 まとめと将来展望付録A mempoolクラスによるlongint数の可変長配列による実装付録B POSIXセマフォによるthread_managerの実装付録C OpenMPによる並列化付録D ガウス超幾何関数による逆正接関数の連分数展開付録E スツルム関数列
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[ 25-09-01 11:55:07 ] 注意:[8] A session had already been started - ignoring session_start() App.class.php 第 115 行.
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