Syllabus and Lecture Notes for MA428:

• 01_Fundamentas
• 02_Matrix Norm
• 03_Triangular Systems
• 04_Gaussian Elimination
• 05_LU Decomposition
• 07_Error Analysis for LU Decomposition
• 08_Examples
• 09_QR Decomposition
• 10_Householder Transformation
• 11_Least Squares Problems
• 12_Geometric Meaning of Least Squars Solution
• 13_Nonlinear Least Squares Problems
• 14_Singular Value Decomposition
• 15_Solving Least Squares Problem via SVD
• 16_Eigenvalue Problems
• 17_Power Method
• 18_Inverse Power Method
• 19_QR Algorithm for Eigenvalue Computation
• 20_Shifted QR Algorithm
• 21_Iterative Methods
• 22_Stationary Iterative Methods
• 23_Convergence
• 24_Polynomial Acceleration Methods
• 25_Krylov Methods