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Algorithmic Principles of Mathematical Programming / by Ulrich Faigle, W. Kern, G. Still
(Texts in the Mathematical Sciences ; 24)
版 | 1st ed. 2002. |
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出版者 | (Dordrecht : Springer Netherlands : Imprint: Springer) |
出版年 | 2002 |
本文言語 | 英語 |
大きさ | X, 339 p : online resource |
著者標目 | *Faigle, Ulrich author Kern, W author Still, G author SpringerLink (Online service) |
件 名 | LCSH:Mathematical optimization LCSH:Computer science -- Mathematics 全ての件名で検索 LCSH:Algorithms LCSH:Discrete mathematics LCSH:Computer science FREE:Optimization FREE:Mathematics of Computing FREE:Algorithms FREE:Discrete Mathematics in Computer Science FREE:Theory of Computation |
一般注記 | 1. Real Vector Spaces -- 2. Linear Equations and Linear Inequalities -- 3. Polyhedra -- 4. Linear Programs and the Simplex Method -- 5. Lagrangian Duality -- 6. An Interior Point Algorithm for Linear Programs -- 7. Network Flows -- 8. Complexity -- 9. Integer Programming -- 10. Convex Sets and Convex Functions -- 11. Unconstrained Optimization -- 12. Constrained Nonlinear Optimization -- List of frequently used Symbols Algorithmic Principles of Mathematical Programming investigates the mathematical structures and principles underlying the design of efficient algorithms for optimization problems. Recent advances in algorithmic theory have shown that the traditionally separate areas of discrete optimization, linear programming, and nonlinear optimization are closely linked. This book offers a comprehensive introduction to the whole subject and leads the reader to the frontiers of current research. The prerequisites to use the book are very elementary. All the tools from numerical linear algebra and calculus are fully reviewed and developed. Rather than attempting to be encyclopedic, the book illustrates the important basic techniques with typical problems. The focus is on efficient algorithms with respect to practical usefulness. Algorithmic complexity theory is presented with the goal of helping the reader understand the concepts without having to become a theoretical specialist. Further theory is outlined and supplemented with pointers to the relevant literature HTTP:URL=https://doi.org/10.1007/978-94-015-9896-5 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9789401598965 |
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EB00231571 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA402.5-402.6 DC23:519.6 |
書誌ID | 4000111518 |
ISBN | 9789401598965 |
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※2017年9月4日以降