Lectures related to Matrix decomposition

Cholesky Factorization: Theory and Algorithm

Explores the Cholesky factorization method for symmetric positive definite matrices.

Covers the concept of asymptotic states and S-matrix in quantum field theory, focusing on the evolution of wave packets and the scattering states.

Linear Systems: Direct Methods

Covers the formulation of linear systems, direct and iterative methods for solving them, and the cost of LU factorization.

QR Factorization: Least Squares System Resolution

Covers the QR factorization method applied to solving a system of linear equations in the least squares sense.

Asymptotic States and S-matrix: Operators

Explores asymptotic states, S-matrix, and operators in quantum field theory, emphasizing the role of discrete symmetries and complete sets of states.

Asymptotic States and S-matrix

Explores asymptotic states, S-matrix, Lippmann-Schwinger equation, and energy robustness in quantum field theory.

Discrete Symmetries: Asymptotic States and S-matrix

Covers the concept of discrete symmetries, focusing on the introduction to asymptotic states and S-matrix.

SVD: Singular Value Decomposition

Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.

Matrix Factorization: LU Decomposition

Covers the LU decomposition method for matrix factorization and its application in electrical engineering.

Linear Systems Resolution

Explores LU decomposition for solving linear systems and the associativity of operations.

Linear Algebra Review

Covers the basics of linear algebra, including matrix operations and singular value decomposition.

Matrix Factorization: LU Decomposition

Explores LU decomposition for matrix factorization and solving linear systems.

Matrix Form and IO Analysis

Covers Material Flow Analysis in matrix form and Input-Output Analysis, exploring balance equations, transfer coefficients, GHG emissions, and economic impact.

Matrix Factorizations: LU Decomposition

Introduces LU decomposition for efficient linear equation solving using matrix factorization.

Density Operator: Quantum Physics II

Covers the concept of matrix to the density operator in quantum physics.

Spectral Decomposition

Explores spectral and singular value decompositions of matrices.

Numerical Analysis: Direct Methods for Linear Systems

Covers direct methods for solving linear systems in numerical analysis.

Direct Methods for Linear Systems of Equations

Explores direct methods for solving linear systems of equations, including Gauss elimination and LU decomposition.

Linear Systems: Diagonal and Triangular Matrices, LU Factorization

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

Latent Factor Analysis: Movie Genre Classification

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