Basic Mathematical Programming Theory 9783031303241, 9783031303234
The subject of (static) optimization, also called mathematical programming, is one of the most important and widespread
212 89 39MB
English Pages 443 Year 2023
Table of contents :
1. Basic Notions and Definitions
2. Elements of Convex Analysis. Linear Theorems of the Alternative. Tangent Cones
3. Convex Functions and Generalized Convex Functions
4. Unconstrained Optimization Problems. Set-Constrained Optimization Problems. Classical Constrained Optimization Problems
5. Constrained Optimization Problems with Inequality Constraints
6. Constrained Optimization Problems with Mixed Constraints
7. Sensitivity Analysis
8. Convex Optimization: Saddle Points Characterization and Introduction to Duality
9. Linear Programming and Quadratic Programming
10. Introduction to Nonsmooth Optimization Problems
11. Introduction to Multiobjective Optimization
Back Matter
1. Basic Notions and Definitions
2. Elements of Convex Analysis. Linear Theorems of the Alternative. Tangent Cones
3. Convex Functions and Generalized Convex Functions
4. Unconstrained Optimization Problems. Set-Constrained Optimization Problems. Classical Constrained Optimization Problems
5. Constrained Optimization Problems with Inequality Constraints
6. Constrained Optimization Problems with Mixed Constraints
7. Sensitivity Analysis
8. Convex Optimization: Saddle Points Characterization and Introduction to Duality
9. Linear Programming and Quadratic Programming
10. Introduction to Nonsmooth Optimization Problems
11. Introduction to Multiobjective Optimization
Back Matter
- Author / Uploaded
- Giorgio Giorgi
- Bienvenido Jiménez
- Vicente Novo
- Similar Topics
- Computers
- Programming
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