Unit NUMERICAL APPROXIMATION AND APPLICATIONS
- Course
- Mathematics
- Study-unit Code
- 55A00064
- Curriculum
- Matematica per le applicazioni industriali e biomediche
- Teacher
- Bruno Iannazzo
- Teachers
-
- Bruno Iannazzo
- Hours
- 47 ore - Bruno Iannazzo
- CFU
- 6
- Course Regulation
- Coorte 2020
- Offered
- 2021/22
- Learning activities
- Affine/integrativa
- Area
- Attività formative affini o integrative
- Academic discipline
- MAT/08
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa monodisciplinare
- Language of instruction
- Italian or English (if all students agree).
- Contents
- Selected topics in Numerical Analysis related to approximation, linear algebra and non-linear optimization and their applications to data science and information technologies.
- Reference texts
- For the numerical analysis topics:
J. Stoer, R. Bulirsch. Introduction to numerical analysis. Springer. 2013;
material provided by the teacher.
For the optional topics, we will use a specific reference, that will be communicated during the lectures. - Educational objectives
- Get into mathematical aspects related to some important data science and information technologies applications. Getting in touch with all mathematical modeling aspects: abstraction, modelisting interpretation, computer simulation.
- Prerequisites
- Basics in numerical analysis.
- Teaching methods
- Face-to-face lectures and laboratory sessions, using Matlab/Octave
- Learning verification modality
- Oral exam and seminar. The oral exam can be substituted by some exercises, a project or a seminar, upon availability.
- Extended program
- Numerical methods for large-scale problems and data-sparse. Krylov subspace methods. Matrix factorizations.Least squares and low rank approximation (SVD).
Numerical methods for nonlinear optimization.