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Numerical Optimization
Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization. -
凸优化
《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。 -
最优化理论与方法
《最优化理论与方法》全面、系统地介绍了无约束最优化、约束最优化和非光滑最优化的理论和计算方法,它包括了近年来国际上关于优化研究的最新成果。《最优化理论与方法》在经济计划、工程设计、生产管理、交通运输等方面得到了广泛应用。 -
代码优化
本书系统深入地介绍了各种代码优化编程技术。全书分为4章。第1章集中介绍如何确定程序中消耗CPU时钟最多的热点代码的所谓程序剖析技术以及典型部分工具的实用知识。第2,3章分别全面介绍RAM了系统与高速缓存子系统的代码优化知识。第4章主要介绍了机器代码优化技术。各章在讨论基本原理的同时详细给出了代码实例,并对优化性能进行了定量的分析。 该书特别适合于作为应用程序员及系统程序员的学习与开发之用。同时,本书对在硬件方面的专业人员与技术工作者有一定的参考价值。 -
Convex Optimization
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics. -
Convex Optimization
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.