书目名称 | Linear and Nonlinear Programming |
编辑 | David G. Luenberger,Yinyu Ye |
视频video | |
概述 | Updated to include new research findings such as Machine Learning Optimization.Provides a structure for learning existing material and insights for developing new results.Features end-of-chapter exerc |
丛书名称 | International Series in Operations Research & Management Science |
图书封面 |  |
描述 | .The 5th edition of this classic textbook 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 that problem. End-of-chapter exercises are provided for all chapters... The material is organized into three separate parts. Part I offers 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. In turn, Part III extends the concepts developed in the second part to constrained optimization problems. Except for a few isolated sections, t |
出版日期 | Textbook 2021Latest edition |
关键词 | Linear Programming; Luenberger; Mathematical Programming; Operations Research; Optimization Models; Semid |
版次 | 5 |
doi | https://doi.org/10.1007/978-3-030-85450-8 |
isbn_softcover | 978-3-030-85452-2 |
isbn_ebook | 978-3-030-85450-8Series ISSN 0884-8289 Series E-ISSN 2214-7934 |
issn_series | 0884-8289 |
copyright | Springer Nature Switzerland AG 2021 |