The course is mainly focused on the algorithmic and practical computational aspects and applications in the following topics:
- Numerical algorithms for data-intensive least squares problems
- Numerical algorithms for large graphs, networks and clustering
- Numerical algorithms for distance measures and classification
The general intended objective is to obtain understanding when the algorithms of the course work well and their implementation, justification and analysis. More specifically, after a completed course the student shall be able to
- implement linear algebra algorithms for topics of the blocks of the course;
- analyze when the algorithms of the course work well and their limitations, by using linear algebra tools;
- justify or derive methods of the course, using mathematical reasoning and relation to other numerical techniques;
- apply the methods of the course to solve scientific problems relevant for a sustainable society