Introduction to the theory of optimization in Euclidean space /
Introduction to the Theory of Optimization in Euclidean Space is intended to provide students with a robust introduction to optimization in Euclidean space, demonstrating the theoretical aspects of the subject whilst also providing clear proofs and applications. Students are taken progressively thro...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton :
CRC Press, Taylor and Francis Group,
[2020]
|
| Series: | Series in operations research
|
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- 1. Introduction 1.1. Formulation of some optimization problems 1.2. Particular subsets of Rn 1.3. Functions of several variables 2. Unconstrained Optimization 2.1. Necessary condition 2.2. Classification of local extreme points 2.3. Convexity/concavity and global extreme points 2.4. Extreme value theorem 3. Constrained Optimization-Equality constraints 3.1. Tangent plane 3.2. Necessary condition for local extreme points-Equality constraints 3.3. Classification of local extreme points-Equality constraints 3.4. Global extreme points-Equality constraints 4. Constrained Optimization-Inequality constraints 4.1. Cone of feasible directions 4.2. Necessary condition for local extreme points/Inequality constraints 4.3. Classification of local extreme points-Inequality constraints 4.4. Global extreme points-Inequality constraints 4.5. Dependence on parameters