AMATH 584
Applied Linear Algebra and Introductory Numerical Analysis
Overview + Background
Numerical LA
Background: Gauss Elimination + LU
Background: Optimization
Matrix Decompositions
Singular Value Composition
QR Decomposition
Eigen Decompositions
Solving Ax=b
Computing Solutions
Conditioniong + Stability
Iterative Methods
Solving at Scale
Randomized LA
Tensor Decompositions
Methods for Embedding Nonlinear Dynamical Systems into Linear Dynamics