Numerical Linear Algebra in OZON Masters, Fall 2020 Date Lectures Practice sessions Home assignments 08.09.2020 General info about the course. Floating point numbers. Vector norms Seminar 1 15.09.2020 Matrix norms and unitary matrices. Matrix rank and low-rank approximation. SVD. Seminar 2 22.09.2020 Linear systems Seminar 3 HW1 (Deadline: October, 20, 02:00) 29.09.2020 Matrix multiplication. QR factorization Seminar 4 06.10.2020 Eigenvalues and eigenvectors. Schur decomposition and how we compute it Seminar 5 13.10.2020 SVD and how we compute it Seminar 6 20.10.2020 Sparse matrices and direct methods for large sparse linear systems. Spectral partitioning and Fiedler vector Seminar 7 27.10.2020 Introduction to iterative methods for linear systems Seminar 8 03.11.2020 Great iterative methods Seminar 9 10.11.2020 Iterative methods and preconditioners Seminar 10 HW2 (Deadline: December, 5, 02:00) 17.11.2020 Iterative methods for partial eigenvalue problem Seminar 11 24.11.2020 Structured matrices, convolutions, FFT, Toeplitz matrices Seminar 12