Linear & Nonlinear Programming

Chapters

Explore the textbook content through interactive chapters and sections

Chapter 1: Introduction to Optimization
Completed
Basic concepts and mathematical foundations
Progress100%
Sections5
Exercises12
Current Section: 1.1 Optimization

Subsections:

OptimizationTypes of ProblemsSize of ProblemsIterative Algorithms and Convergence
Chapter 2: Basic Properties of Linear Programs
Understanding linear programming fundamentals
Progress75%
Sections4
Exercises10
Current Section: 2.1 Introduction

Subsections:

IntroductionBasic Feasible SolutionsOptimality Conditions
Chapter 3: Linear Programming Fundamentals
Formulation, graphical solutions, and applications
Progress65%
Sections6
Exercises15
Current Section: 3.2 Graphical Solutions

Subsections:

Introduction to Linear ProgrammingGraphical Solution MethodStandard Form and Canonical Form
Chapter 4: Simplex Method
Algorithm, implementation, and analysis
Progress0%
Sections7
Exercises18
Current Section: 4.1 Basic Concepts

Subsections:

Basic ConceptsSimplex AlgorithmDegeneracy and Cycling
Chapter 5: Duality Theory
Dual problems, complementary slackness, and economic interpretation
Progress0%
Sections5
Exercises14
Current Section: Locked

Subsections:

Dual ProblemsComplementary SlacknessEconomic Interpretation