Fabio Durastante Researcher

SMI Iterative Methods For Large-Scale Saddle-Point Problems - Scuola Matematica Interuniversitaria - 8-20/05/2022

Lecturer 1 Lecturer 2

Michele Benzi

Scuola Normale Superiore, Pisa

Fabio Durastante

Dipartimento di Matematica, Università di Pisa


Large-scale systems of equations in saddle-point form arise in many different areas of science and engineering, from the numerical solution of important PDEs to problems in constrained optimization and data science. Many techniques have been developed to solve such systems but a number of challenges remain, and  research in this field continues to be very active. The course will describe some of the applications where these systems arise and offer a panoramic view of the best solution methods available, up to recent advances. Theoretical foundations will also be addressed. 

Topics will include:


The course will be divided in two parts of 20 hrs each. In the morning lectures, Prof. Benzi will discuss fundamental principles, theoretical aspects, and the general algorithmic approaches available for the solution of saddle-point systems.  In the afternoon lectures, Dr. Durastante will cover in detail some of the main applications, solution algorithms, and implementation and software aspects. Whenever possible, concrete examples will be discussed and hands-on exercises will be assigned to the participants.

Reading material will be distributed to the participants, who are expected to take an active role in the learning process.

Obligations of partecipants
Each participant is required to attend both modules and the afternoon seminars. 


Applications can be submitted exclusively online, on the SMI website.

Applications start: 1 March, 2022;
Deadline for applications is APRIL 15, 2022.

A selection committee will meet shortly afterwards and all accepted foreign applicants will be notified of the result in due time.
Applications should contain a BRIEF CURRICULUM VITAE and a DETAILED CURRICULUM STUDIORUM. The exact e-mail address to which all correspondence concerning the Summer courses has to be mailed should be clearly stated.
Selected people will be informed by e-mail.

Course material

To run the examples discussed during my lectures the code is available on the GitHub repository blazingsaddles. The instructions for cloning the repository can be read on GitHub. If you are not working on a Unix system, there are several interfaces available for working with GitHub, read the documentation.

Prof. Benzi material on special topics:

Some photos