《凸最佳化》是2013年世界圖書出版公司出版的圖書,作者是鮑迪。
基本介紹
- 中文名:凸最佳化
- 作者:鮑迪
- 出版社:世界圖書出版公司
- ISBN:9787510061356
圖書目錄
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
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