- Docente: Elena Loli Piccolomini
- Credits: 6
- SSD: MAT/08
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Mathematics (cod. 8208)
Learning outcomes
At the end of the course, the student has a deep knowledge of the
numerical aspects of the mathemathics in the applications.
Course contents
1. General concepts of numerical unconstrained optimization.
2. Descent methods. General Concepts. Gradient and Conjugate Gradients type methods.
3. Inverse problems and regularization. Applications to signal and image processing.
Exercises in Matlab or Octave on the previous topics.
Readings/Bibliography
1) Nocedal, Wright, Numerical Optimization, Springer
2) P. C. Hansen, Discrete Inverse Problems: insight ans algorithms, SIAM
Teaching methods
Frontal lessons and exercises in the Computer Laboratory. The
exercises consist in numerical simulations of the methods analysed
during the lessons. They are guided by the teacher during the
laboratory time. The student should individually complete the
assigned exercises and finally give them up to the teacher before
the end of the course.
Assessment methods
The exam consists in an oral discussion on the topics dealed with
during the lessons and on the resolution of the assigned
exercises.
Teaching tools
Slides
Links to further information
http://www.dm.unibo.it/~piccolom/
Office hours
See the website of Elena Loli Piccolomini