Lectures related to LU decomposition

Floating Point Numbers: LU Decomposition and Errors

Explores floating point numbers, LU decomposition, errors in numerical computations, and the impact of round-off errors.

Gauss Elimination Algorithm

Introduces the Gauss elimination algorithm for solving linear systems with practical examples in Python.

Integration of Rational Functions

Covers the integration of rational functions and the decomposition into irreducible factors.

Latent Factor Analysis: Movie Genre Classification

Explores latent factor analysis for movie genre classification based on male versus female leads.

LU Decomposition: Linear Systems Applications

Covers the LU decomposition method applied to linear systems, presenting the system in two steps.

Singular Value Decomposition

Covers the Singular Value Decomposition theorem and its application in decomposing matrices.

Linear Systems: Factorization and Cholesky

Explores linear systems, Cholesky factorization, LU factorization, and matrix precision.

Column Subset Selection: RRQR and TCS

Explores RRQR, TCS, tradeoffs, accuracy metrics, and low-rank matrix factorization frameworks, emphasizing communication avoidance and recent developments.