Description
Book SynopsisAs the Solutions Manual, this book is meant to accompany the main title, Nonlinear Programming: Theory and Algorithms, Third Edition. This book presents recent developments of key topics in nonlinear programming (NLP) using a logical and self-contained format.
Table of ContentsChapter 1: Introduction 1
1.1, 1.2, 1.4, 1.6, 1.10, 1.13
Chapter 2 Convex Sets 4
2.1, 2.2, 2.3, 2.7, 2.8, 2.12, 2.15, 2.21, 2.24, 2.31, 2.42, 2.45, 2.47, 2.49, 2.50, 2.51, 2.52, 2.53, 2.57
Chapter 3: Convex Functions and Generalizations 15
3.1, 3.2, 3.3, 3.4, 3.9, 3,10, 3.11, 3.16, 3.18, 3.21, 3.22, 3.26, 3.27, 3.28, 3.31, 3.37, 3.39, 3.40, 3.41, 3.45, 3.48, 3.51, 3.54, 3.56, 3.61, 3.62, 3.63, 3.64, 3.65
Chapter 4: The Fritz John and Karush-Kuhn-Tucker Optimality Conditions 29
4.1, 4.4, 4.5, 4.6, 4.7, 4.8, 4.9, 4.10, 4.12, 4.15, 4.27, 4.28, 4.30, 4.31, 4.33, 4.37, 4.41, 4.43
Chapter 5: Constraint Qualifications 46
5.1, 5.12, 5.13, 5.15, 5.20
Chapter 6: Lagrangian Duality and Saddle Point Optimality Conditions 51
6.2, 6.3, 6.4, 6.5, 6.7, 6.8, 6.9, 6.14, 6.15, 6.21, 6.23, 6.27, 6.29,
Chapter 7: The Concept of an Algorithm 64
7.1, 7.2, 7.3, 7.6, 7.7, 7.19
Chapter 8: Unconstrained Optimization 69
8.10, 8.11, 8.12, 8.18, 8.19, 8.21, 8.23, 8.27, 8.28, 8.32, 8.35, 8.41, 8.47, 8.51, 8.52
Chapter 9: Penalty and Barrier Functions 88
9.2, 9.7, 9.8, 9.12, 9.13, 9.14, 9.16, 9.19, 9.32
Chapter 10: Methods of Feasible Directions 107
10.3, 10.4, 10.9, 1.012, 10.19, 10.20, 10.25, 10.33, 10.36, 10.41, 10.44, 10.47, 10.52
Chapter 11: Linear Complementary Problem, and Quadratic, Separable, Fractional, and Geometric Programing 134
11.1, 11.5, 11.12, 11.18, 11.19, 11.22, 11.23, 11.24, 11.36, 11.41, 11.42, 11.47, 11.48, 11.50, 11.51, 11.52
