CdSMATEMATICA
Codice146AA
CFU6
PeriodoPrimo semestre
LinguaItaliano
| Moduli | Settore/i | Tipo | Ore | Docente/i | |
| METODI DI APPROSSIMAZIONE/a | MAT/08 | LEZIONI | 42 |
|
Il corso si concentra su tecniche avanzate di algebra lineare numerica e le sue applicazioni. Lo studente che completa il corso sarà a conoscenza di diversi argomenti avanzati di algebra lineare numerica, e avrà una descrizione dello stato della ricerca in questi campi.
Quest'anno il corso si concentrerà su fasci e polinomi di matrici, funzioni di matrici, equazioni matriciali.
This course focuses on advanced techniques in numerical linear algebra (NLA) and their applications. The student who successfully completes the course will be aware of several advanced topics in numerical linear algebra. The student will be also able to have a look at the state of the local research in these fields.
This year the course will cover matrix pencils and polynomials, matrix functions, matrix equations.
(si veda la versione inglese del programma per informazioni dettagliate.)
Course work will include literature research and presentation in related topics. With the final oral presentation the student must demonstrate the ability to approach a considered research problem, and organise an effective exposition of related theoretical results and numerical solution methods.
Methods:
- Final oral exam (including a seminar on a research topic)
- Continuous assessment
(si veda la versione inglese del programma per informazioni dettagliate.)(si veda la versione inglese del programma per informazioni dettagliate.)
The student will be able to interface themselves with papers and research presentations on some areas of numerical linear algebra.
(si veda la versione inglese del programma per informazioni dettagliate.)
During the course and the final exam.
(si veda la versione inglese del programma per informazioni dettagliate.)
The material covered in undergraduate courses on numerical analysis and numerical linear algebra; a solid command of linear algebra and proof-based mathematics. Some programming abilities to implement and test the algorithms encountered. Working knowledge of the English language (if the course is taught in English).
Nessuno
None.
Nessuno
None.
(si veda la versione inglese del programma per informazioni dettagliate.)
Delivery: face to face
Learning activities:
- attending lectures
- participation in seminar
- preparation of oral/written report
- participation in discussions
- individual study
Attendance: Not mandatory
Teaching methods:
- Lectures
- Seminar
- project work
(si veda la versione inglese del programma per informazioni dettagliate.)
(tentative) Structure of matrix pencils and polynomials. Some linearization methods for matrix polynomials. Matrix functions and equations. Some numerical methods for rank-structured matrices.
(si veda la versione inglese del programma per informazioni dettagliate.)
Recommended reading includes excerpts from research monographies and papers published on journals in the field of computational mathematics and numerical/symbolic computing. Some material will be specified during the course.
A good research textbook to fill in on the standard algorithms is Golub, Van Loan, *Matrix computations*, 4th edition.
(si veda la versione inglese del programma per informazioni dettagliate.)
Non-attending students are expected to study some papers and excerpts from research monographies on the material covered during the course, and to contact the teacher in advance to agree a topic for the final presentation.
(si veda la versione inglese del programma per informazioni dettagliate.)
Oral exam, including a presentation on a research topic decided beforehand in agreement with the teacher.
N/A