Ax=b, Eigenvalues, Eigenvectors
Lecture 1
ITERATION METHODS FOR AX=B: This details how to apply a simple iteration procedure for solving Ax=b, including Jacobi iterations and Gauss-Siedel modifications.
MATLAB COMMANDS
n/a
MATLAB CODE
Lecture 2
EIGENVALUES AND EIGENVECTORS: We introduce one of the most fundamental concepts of linear algebra: eigenvalues and eigenvectors.
MATLAB COMMANDS
EIG EIGS
MATLAB CODE
Lecture 3
EIGEN-DECOMPOSITIONS AND ITERATIONS: We develop a theoretical approach to understanding how eigen-decompositions of matrices can be used in iterative schemes for Ax=b.
MATLAB COMMANDS
DIAG TRIL
MATLAB CODE