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Titlebook: Linear and Nonlinear Programming; David G. Luenberger,Yinyu Ye Textbook 2021Latest edition Springer Nature Switzerland AG 2021 Linear Prog

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发表于 2025-3-21 16:19:12 | 显示全部楼层 |阅读模式
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Titlebook: Linear and Nonlinear Programming;  David G. Luenberger,Yinyu Ye Textbook 2021Latest edition Springer Nature Switzerland AG 2021 Linear Prog
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
doihttps://doi.org/10.1007/978-3-030-85450-8
isbn_softcover978-3-030-85452-2
isbn_ebook978-3-030-85450-8Series ISSN 0884-8289 Series E-ISSN 2214-7934
issn_series 0884-8289
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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发表于 2025-3-21 23:41:53 | 显示全部楼层
Duality and Complementaritye underlying cost and constraint coefficients but in such a way that if one of these problems is one of minimization the other is one of maximization, and the optimal values of the corresponding objective functions, if finite, are equal. The variables of the dual problem can be interpreted as prices
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Interior-Point Methodsous variables defined on a convex feasible region and with a continuous objective function. They are, therefore, a special case of the general form of problem considered in this text. However, linearity implies a certain degree of degeneracy, since for example the derivatives of all functions are co
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Basic Properties of Solutions and Algorithmst, is a subset of ... Throughout most of the chapter attention is restricted to the case where Ω = .., corresponding to the completely unconstrained case, but sometimes we consider cases where Ω is some particularly simple subset of ...
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Conjugate Direction Methodsted by the desire to accelerate the typically slow convergence associated with steepest descent while avoiding the information requirements associated with the evaluation, storage, and inversion of the Hessian (or at least solution of a corresponding system of equations) as required by Newton’s meth
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