Linear and Nonlinear Programming
This new edition covers the central concepts of practical optimization techniques, with an emphasis on methods that are both state-of-the-art and popular. One major insight is the connection between the purely analytical character of an optimization problem and the behavior of algorithms used to sol...
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2015
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| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58554 |
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oai:scholar.dlu.edu.vn:DLU123456789-585542023-11-11T06:12:44Z Linear and Nonlinear Programming Luenberger, David G Ye, Yinyu Nonlinear programming Linear programming This new edition covers the central concepts of practical optimization techniques, with an emphasis on methods that are both state-of-the-art and popular. One major insight is the connection between the purely analytical character of an optimization problem and the behavior of algorithms used to solve a problem. This was a major theme of the first edition of this book and the fourth edition expands and further illustrates this relationship. As in the earlier editions, the material in this fourth edition is organized into three separate parts. Part I is a self-contained introduction to linear programming. The presentation in this part is fairly conventional, covering the main elements of the underlying theory of linear programming, many of the most effective numerical algorithms, and many of its important special applications. Part II, which is independent of Part I, covers the theory of unconstrained optimization, including both derivations of the appropriate optimality conditions and an introduction to basic algorithms. This part of the book explores the general properties of algorithms and defines various notions of convergence. Part III extends the concepts developed in the second part to constrained optimization problems. Except for a few isolated sections, this part is also independent of Part I. It is possible to go directly into Parts II and III omitting Part I, and, in fact, the book has been used in this way in many universities. 2015-09-28T09:33:32Z 2015-09-28T09:33:32Z 2015 Book 978-3-319-18842-3 978-3-319-18841-6 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58554 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Nonlinear programming Linear programming |
| spellingShingle |
Nonlinear programming Linear programming Luenberger, David G Ye, Yinyu Linear and Nonlinear Programming |
| description |
This new edition covers the central concepts of practical optimization techniques, with an emphasis on methods that are both state-of-the-art and popular. One major insight is the connection between the purely analytical character of an optimization problem and the behavior of algorithms used to solve a problem. This was a major theme of the first edition of this book and the fourth edition expands and further illustrates this relationship. As in the earlier editions, the material in this fourth edition is organized into three separate parts. Part I is a self-contained introduction to linear programming. The presentation in this part is fairly conventional, covering the main elements of the underlying theory of linear programming, many of the most effective numerical algorithms, and many of its important special applications. Part II, which is independent of Part I, covers the theory of unconstrained optimization, including both derivations of the appropriate optimality conditions and an introduction to basic algorithms. This part of the book explores the general properties of algorithms and defines various notions of convergence. Part III extends the concepts developed in the second part to constrained optimization problems. Except for a few isolated sections, this part is also independent of Part I. It is possible to go directly into Parts II and III omitting Part I, and, in fact, the book has been used in this way in many universities. |
| format |
Book |
| author |
Luenberger, David G Ye, Yinyu |
| author_facet |
Luenberger, David G Ye, Yinyu |
| author_sort |
Luenberger, David G |
| title |
Linear and Nonlinear Programming |
| title_short |
Linear and Nonlinear Programming |
| title_full |
Linear and Nonlinear Programming |
| title_fullStr |
Linear and Nonlinear Programming |
| title_full_unstemmed |
Linear and Nonlinear Programming |
| title_sort |
linear and nonlinear programming |
| publisher |
Springer |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58554 |
| _version_ |
1782550479286304768 |