出版社:世界图书出版公司北京公司
年代:2013
定价:149.0
本书2004年初版以来,广受好评,2012年第12次重印发行。凸优化问题在众多领域都有广泛的应用,本书全面、严谨透彻地讲述了这个话题,如何最有效地用数值方法解决问题。重在强调如何识别凸优化问题,并且找出最适合的解决技巧。书中包括了许多实践案例和练习题,这将对学生、科研人员和工程、计算科学、数学、统计学、金融和经济领域的从业人员都有很大的吸引力。读者对象:适用于数学、计算科学、统计学、金融和经济的科研人员。
Preface
Introduction
1.1 Mathematical optimization
1.2 Least-squares and linear programming
1.3 Convex optimization
1.4 Nonlinear optimization
1.5 Outline
1.6 Notation
Bibliography
Ⅰ Theory
Convex sets
2.1 Affine and convex sets
2.2 Some important examples
2.3 Operations that preserve convexity
2.4 Generalized inequalities
2.5 Separating and supporting hyperplanes
2.6 Dual cones and generalized inequalities
Bibliography
Exercises
Convex functions
3.1 Basic properties and examples
3.2 Operations that preserve convexity
3.3 The conjugate function
3.4 Quasiconvex functions
3.5 Log-concave and log-convex functions
3.6 Convexity with respect to generalized inequalities.
Bibliography
Exercises
……
Ⅱ Applications
Ⅲ Algorithms
Appendices
References
Notation
Index
This book is about conuer optimization, a special class of mathematical optimization problems, which includes least-squares and linear programming problems. It is well known that least-squares and linear programming problems have a fairly complete theory, arise in a variety of applications, and can be solved numerically very efficiently. The basic point of this book is that the same can be said for the larger class of convex optimization problems.
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书名 | 凸优化站内查询相似图书 | ||
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出版地 | 北京 | 出版单位 | 世界图书出版公司北京公司 |
版次 | 影印本 | 印次 | 1 |
定价(元) | 149.0 | 语种 | 英文 |
尺寸 | 30 × 21 | 装帧 | 平装 |
页数 | 印数 |
凸优化是世界图书出版公司北京公司于2013.5出版的中图分类号为 O174.13 的主题关于 凸分析-英文 的书籍。