Nonlinear Programming 3rd Edition by Dimitri Bertsekas ISBN 1886529051 9781886529052

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ISBN 10: 1886529051 
ISBN 13: 9781886529052
Author: Dimitri Bertsekas

​Dimitri P. Bertsekas’ Nonlinear Programming, Third Edition, published by Athena Scientific in 2016, is a comprehensive and accessible textbook that provides a rigorous yet intuitive presentation of algorithms for solving continuous optimization problems. Developed through instruction at MIT, the book emphasizes modern developments and their widespread applications in fields such as large-scale resource allocation, signal processing, and machine learning. ​

Nonlinear Programming 3rd Table of contents:

Chapter 1: Introduction
1.1 Problem Statement and Basic Definitions

1.2 Illustrative Examples

1.3 Guidelines for Model Construction​

Chapter 2: Optimization Over a Convex Set
2.1 Convex Sets and Functions

2.2 Convexity and Optimality Conditions

2.3 Duality and Convex Programming​
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Chapter 3: Lagrange Multiplier Theory
3.1 Lagrange Multipliers and Optimality Conditions

3.2 Constraint Qualifications

3.3 Saddle Point Optimality Conditions​

Chapter 4: Lagrange Multiplier Algorithms
4.1 Unconstrained Optimization Algorithms

4.2 Constrained Optimization Algorithms

4.3 Interior Point Methods​

Chapter 5: Duality and Convex Programming
5.1 Duality Theory

5.2 Convex Programming Problems

5.3 Dual Methods

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Tags: Dimitri Bertsekas, Nonlinear Programming