凸优化：Convex Potimization

图书标准信息

• 作者 [美]鲍迪（Boyd S.） 著
• 出版社 世界图书出版公司
• 出版时间 2013-10
• 版次 1
• ISBN 9787510061356
• 定价 149.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 716页
• 正文语种 英语
• 原版书名 Convex Potimization

【内容简介】

　　Thisbookisaboutconueroptimization，aspecialclassofmathematicaloptimizationproblems，whichincludesleast-squaresandlinearprogrammingproblems.Itiswellknownthatleast-squaresandlinearprogrammingproblemshaveafairlycompletetheory，ariseinavarietyofapplications，andcanbesolvednumericallyveryefficiently.Thebasicpointofthisbookisthatthesamecanbesaidforthelargerclassofconvexoptimizationproblems.

【作者简介】

作者：（美国）鲍迪（Stephen Boyd）

【目录】

Preface
Introduction
1.1Mathematicaloptimization
1.2Least-squaresandlinearprogramming
1.3Convexoptimization
1.4Nonlinearoptimization
1.5Outline
1.6Notation
Bibliography

ⅠTheory
Convexsets
2.1Affineandconvexsets
2.2Someimportantexamples
2.3Operationsthatpreserveconvexity
2.4Generalizedinequalities
2.5Separatingandsupportinghyperplanes
2.6Dualconesandgeneralizedinequalities
Bibliography
Exercises
Convexfunctions
3.1Basicpropertiesandexamples
3.2Operationsthatpreserveconvexity
3.3Theconjugatefunction
3.4Quasiconvexfunctions
3.5Log-concaveandlog-convexfunctions
3.6Convexitywithrespecttogeneralizedinequalities.
Bibliography
Exercises
……

ⅡApplications
ⅢAlgorithms
Appendices
References
Notation
Index