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【洋書】行列の反復解法のコンパクトな専門書 Parameter-Free Iterative Linear Solvers【送料無料】
        

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行列の反復解法の専門書で、Krylov部分空間法の種々のアルゴリズムが列挙されており、数値解析分野の行列解法のユーザにとって、ハンドブックとして有益な一冊です。コンパクトな書籍故、数学的なウルさい議論には深入りしていません。入手しにくい書籍故、お探しの方がいらっしゃるかと思い、出品してみました。
1.steepest descent(写真4) から始まって、2.classical CG, 3.ORTHORES, 4.GMRES, 5.ATPRES, 6.CGNE, 7 PRES20,8BCG, 9 BICO, 10 QMR, 11.CGS, 12BiCGSTAB(写真5), 13.TFQMR, 14 R3-CKS, 15 GMERR, についてアルゴリズムが示され、サンプル問題を用いた性能比較例が挙げられています(写真6)。前処理やリスタート等についても言及されています。当書籍の内容については、「応用数理」1997年7巻1号にParameter-Free Iterative Linear Solversの書評(藤野清次)が参考になると思います。なお、蛇足ですが、当書籍の参考文献欄には、この書評の著者の藤野清次の論文がいくつか挙がっています。
 
【書誌情報】          
書名Parameter-Free Iterative Linear Solvers
著者Ruediger Weiss (“ue“uウムラウト)
出版社Akademie Verlag  (この出版社はWiley-VCHに吸収されました)
発行年月日:1996
218page  ほぼB5 厚さ  12mm
ISBN-10 : 3-05-501763-3
ISBN-13 : 978-3055017636
商品に定価の記載なし:1996年頃に洋書専門の通信販売業者より、13,494円で購入。           
 
【目次】章のみ列挙
1.       Necessities and Criterions                 11
2.       Introduction to Iterative Methods    14
3.       Orthogonalization Methods              28
4.       Krylov Subspace Methods                 43
5.       Transformation of Methods             131
6.       Preconditioning                                145
7.       Numerical Stability                           174
8.       Efficiency on Supercomputers         178
9.       Remarks and Annotations                 185
Time Table                                                190
Notation                                                     191
Bibliography                                               194
Index                                                           214
 
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