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, 7, 02:00) 17.11.2020 Iterative methods for partial eigenvalue problem Seminar 11 24.11.2020 Structured matrices, convolutions, FFT, Toeplitz matrices Seminar 12 01.12.2020 Matrix functions and matrix equations Seminar 13 08.12.2020 Tensor decompositions Seminar 14