Lectures related to QR Factorization: Orthogonal Bases

Covers the construction of an iterative method for linear systems, emphasizing matrix decomposition and convexity.

Covers linear systems, diagonal and triangular matrices, and LU factorization.

Covers the LU decomposition algorithm, transforming a matrix into L and U.

Covers the theorems related to orthogonal projection and orthonormal bases.

Explores the fundamentals of Singular Value Decomposition, including orthonormal bases and practical applications.

Covers Lyapunov exponents, chaos measurement, and perturbation analysis in dynamical systems.