Optimization
数值最优化 豆瓣
Numerical Optimization
作者: Jorge Nocedal / Stephen Wright 出版社: 科学出版社 2006 - 1
本书作者现任美国西北大学教授,多种国际权威杂志的主编、副主编。作者根据在教学、研究和咨询中的经验,写了这本适合学生和实际工作者的书。本书提供连续优化中大多数有效方法的全面的最新的论述。每一章从基本概念开始,逐步阐述当前可用的最佳技术。  本书强调实用方法,包含大量图例和练习,适合广大读者阅读,可作为工程、运筹学、数学、计算机科学以及商务方面的研究生教材,也可作为该领域的科研人员和实际工作人员的手册。  总之,作者力求本书阅读性强,内容丰富,论述严谨,能揭示数值最优化的美妙本质和实用价值。
凸优化 豆瓣
Convex Optimization
作者: Stephen Boyd / Lieven Vandenberghe 译者: 王书宁 / 许鋆 出版社: 清华大学出版社 2013 - 1
《信息技术和电气工程学科国际知名教材中译本系列:凸优化》内容非常丰富。理论部分由4章构成,不仅涵盖了凸优化的所有基本概念和主要结果,还详细介绍了几类基本的凸优化问题以及将特殊的优化问题表述为凸优化问题的变换方法,这些内容对灵活运用凸优化知识解决实际问题非常有用。应用部分由3章构成,分别介绍凸优化在解决逼近与拟合、统计估计和几何关系分析这三类实际问题中的应用。算法部分也由3章构成,依次介绍求解无约束凸优化模型、等式约束凸优化模型以及包含不等式约束的凸优化模型的经典数值方法,以及如何利用凸优化理论分析这些方法的收敛性质。通过阅读《信息技术和电气工程学科国际知名教材中译本系列:凸优化》,能够对凸优化理论和方法建立完整的认识。
Approximation Algorithms 豆瓣
作者: Vijay V. Vazirani 出版社: Springer 2001 - 7
'This book covers the dominant theoretical approaches to the approximate solution of hard combinatorial optimization and enumeration problems. It contains elegant combinatorial theory, useful and interesting algorithms, and deep results about the intrinsic complexity of combinatorial problems. Its clarity of exposition and excellent selection of exercises will make it accessible and appealing to all those with a taste for mathematics and algorithms' - Richard Karp, University Professor, University of California at Berkeley. Following the development of basic combinatorial optimization techniques in the 1960s and 1970s, a main open question was to develop a theory of approximation algorithms. In the 1990s, parallel developments in techniques for designing approximation algorithms as well as methods for proving hardness of approximation results have led to a beautiful theory. The need to solve truly large instances of computationally hard problems, such as those arising from the Internet or the human genome project, has also increased interest in this theory. The field is currently very active, with the toolbox of approximation algorithm design techniques getting always richer. It is a pleasure to recommend Vijay Vazirani's well-written and comprehensive book on this important and timely topic. "I am sure the reader will find it most useful both as an introduction to approximability as well as a reference to the many aspects of approximation algorithms' - Laszlo Lovasz, Senior Researcher, Microsoft Research.
鲁棒控制 豆瓣
作者: 俞立 出版社: 清华大学出版社 2002 - 1
《鲁棒控制(线性矩阵不等式处理方法)》结合作者的研究工作,详细地介绍了基于线性矩阵不等式的不确定性系统鲁棒控制的概念、理论及设计方法,反映了近年来鲁棒控制领域中最新研究成果。
非线性优化计算方法 豆瓣
作者: 袁亚湘 出版社: 科学出版社 2008 - 2
《非线性优化计算方法》系统和深入介绍非线性优化的主要计算方法和相关理论,主要内容包括:一维优化方法、梯度法和共轭梯度法、拟牛顿法、直接方法、二次规划、罚函数法、可行方向法、逐步二次规划法、信赖域法、内点法、滤子方法等。