Lectures related to Schur decomposition

Explores spectral and singular value decompositions of matrices.

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

Covers phase portraits, eigenvalue decomposition, Jordan decomposition, and stable nodes in non-linear systems.

Covers the proof of the Schmidt theorem and properties of von Neumann entropy, including dense coding and entanglement.

Covers the Jacobi method, Givens rotation, QR decomposition, and diagonalization techniques in computational physics.

Explores the spectral decomposition of self-adjoint operators on Hilbert spaces.

Covers MIMO receivers, linear detectors, interference cancellation, and performance analysis in advanced wireless communications.

Explores spectral clustering theory, eigenvalue decomposition, Laplacian matrix, and practical applications in identifying clusters.

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

Explores Spectral Clustering, eigenvalue decomposition, Laplacian matrices, and cluster identification through eigenvector projections.

Explains the method of least squares in linear regression to find the best-fitting line to a set of data points.

Covers examples of symmetric matrices and their properties, including eigenvectors and eigenvalues.

Covers orthogonal projection, spectral decomposition, Gram-Schmidt process, and matrix factorization.

Explores the Jacobi method and diagonalization techniques, including similarity transformation, power methods, and QR decomposition.

Explains the QR factorization theorem and demonstrates the Gram-Schmidt procedure with an example.

Covers the decomposition of matrices into triangular blocks and spectral decomposition.

Explores Gram-Schmidt process, orthogonal projection, QR factorization, and least squares solutions for linear systems.

Explores the spectral decomposition of symmetric matrices, including diagonalization and orthogonal basis change matrices.

Explores circular motion dynamics, speed calculations, and vector decomposition in advanced physics.