Section 4: Computational Methods & Applications
Overview
Focus on numerical algorithms, linear programming, and advanced applications.
Topics Covered
Chapter 7: Computations with Matrices
- Matrix norms and condition numbers (7.2)
- Eigenvalue computation algorithms (7.3)
- Iterative methods for Ax = b (7.4)
Chapter 8: Linear Programming and Game Theory
- The Simplex Method (8.2)
- Duality theory (8.3)
- Network models (8.4)
- Game theory (8.5)
Chapter 2 (Selected)
- Graphs and networks (2.5)
Learning Objectives
- Understand numerical stability and conditioning
- Implement iterative solvers
- Apply linear programming
- Connect graph theory to linear algebra