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nla2023_masters

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Numerical linear algebra course, AI Masters, Fall 2023

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# Numerical linear algebra course, AI Masters, Fall 2023

|Date| Lectures | Practice sessions | Home assignments|
|----|----|----| :----: |
| 18.09.2023 | [General info about the course.](./lectures/general_info.ipynb) [Floating point numbers.](./lectures/lecture1/lecture-1.ipynb) | [Example of ResNet model and different formats of floating point numbers](./practice/class1/floating_point_resnet_model.ipynb) | |
| 25.09.2023 | [Vector and matrix norms. Unitary matrices and algorithms stability](./lectures/lecture2/lecture2.ipynb) | |
| 02.10.2023 | [Linear systems and condition number](./lectures/lecture3/lecture3.ipynb) | [Comparison of different approaches to solve linear systems](./practice/class3/linsys.ipynb) | | 
| 09.10.2023 | [Matrix rank. Low-rank matrix approximation and Singular Value Decomposition (SVD).](./lectures/lecture4/lecture4.ipynb) | [SVD for recommender systems](./practice/class4/svd4recsys.ipynb) | | 
| 16.10.2023 | [Methods for computing QR decomposition. Eigenvalue decomposition.](./lectures/lecture5/lecture5.ipynb) | [Power method convergence](./practice/class5/power_method.ipynb) | [HW1](./hw/hw1.ipynb) </br> Deadline: November 2, 23:50 MSK
| 23.10.2023 | [QR algorithm. Overview of methods for computing SVD](./lectures/lecture6/lecture6.ipynb) | | | 
| 30.10.2023 | [Matrix functions, vol. 1](./lectures/lecture7/lecture7.ipynb) | | |
| 06.11.2023 | [Projects presentations, vol. 1](./projects/project1/README.md) | | [HW2](./hw/hw2.ipynb) </br> Deadline: November 29, 23:50 MSK 
| 20.11.2023 | [Sparse matrices and where to meet them. LU for sparse matrices.](./lectures/lecture8/lecture8.ipynb) | | | 
| 27.11.2023 | [Intro to iterative methods for linear systems. Krylov methods.](./lectures/lecture9/lecture9.ipynb) | | |
| 11.12.2023 | [Intro to preconditioners. Matrix functions, vol. 2.](./lectures/lecture10/lecture10.ipynb) | | | 
| 18.12.2023 | [Intro to tensors. Tensor decompositions and why are they important](./lectures/lecture11/lecture11.ipynb) | | |
| 25.12.2023 | Projects presentations | | |

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