Optimization Theory:A Concise Introduction

最优化理论:简要介绍

运筹学

原   价:
846.00
售   价:
634.00
发货周期:预计3-5周发货
作      者
出  版 社
出版时间
2018年06月22日
装      帧
精装
ISBN
9789813237643
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页      码
230
语      种
英文
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图书简介
Mathematically, most of the interesting optimization problems can be formulated to optimize some objective function, subject to some equality and/or inequality constraints. This book introduces some classical and basic results of optimization theory, including nonlinear programming with Lagrange multiplier method, the Karush–Kuhn–Tucker method, Fritz John’s method, problems with convex or quasi-convex constraints, and linear programming with geometric method and simplex method. A slim book such as this which touches on major aspects of optimization theory will be very much needed for most readers. We present nonlinear programming, convex programming, and linear programming in a self-contained manner. This book is for a one-semester course for upper level undergraduate students or first/second year graduate students. It should also be useful for researchers working on many interdisciplinary areas other than optimization. Key Features: ○ Based on the preparation material (standard calculus and linear algebra presented in the first chapter), the presentation of all the major results of optimization are self-contained ○ We use Ekeland’s variational principle to prove Fritz John’s optimality conditions. As far as the author’s knowledge, this is new ○ The theoretic results and examples have been balanced. All the major theorems are companioned by its proof and some examples. This enables the readers who are not interested in the proofs to proceed to learn how to use the theorems from the examples
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