Lectures related to Floating Point Numbers: LU Decomposition and Errors

Covers the basics of computer arithmetic, focusing on floating point numbers and their operations.

Explains the Gaussian elimination algorithm with pivoting and LU factorization for linear systems.

Covers the norm of a matrix, operator, singular values, and unitary matrices in linear algebra.

Explores number representation in computers and bitwise operators for practical programming applications.

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

Discusses fixed and floating-point arithmetic in digital systems, covering representations, operations, and rounding techniques.

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

Provides an overview of fixed and floating-point arithmetic in digital systems, focusing on their representations and practical applications.