18/10/2026
⏰ Don’t miss the deadline, don’t miss an opportunity!
All information on: www.cimpa.info
📚Matrix Pencils and Linear Relations
Join Francisco Martínez Pería from Instituto Argentino de Matemática, CONICET for an insightful online course on the relationship between Kronecker invariants of matrix pencils and spectral properties of linear relations, with applications to perturbation problems.
Abstract:
The first part of this course is devoted to presenting the Kronecker canonical form of a matrix pencil. We hope that the course will be useful for anyone interested in studying systems of linear algebraic differential equations, since they often require an accessible, but rigorous, introduction to the Kronecker form. In the second part of the course, we briefly introduce the theory of linear relations, to present a canonical form for linear relations in a finite dimensional vector space, which can be described by means of the so-called Weyr characteristic of a linear relation. Finally, we show how to represent a matrix pencil by means of two different linear relations: its kernel representation and its range representation. Also, we show how to determine the Kronecker invariants of the pencil using the Weyr characteristic of these linear relations, and vice versa.
📅 Dates: November 3-6, 2026
🕒 Time: 14:00–16:00 (Paris time)
📍 Venue: Luigi Stasi Seminar Room, ICTP
📝 Zoom link available here:
https://zoom.us/j/91471488824?pwd=oZR4mTWbSM0NgmwRbzf22RYfdfgRnN.1
Meeting ID: 914 7148 8824
Passcode: CIMPA_ICTP
🔗 More information:
https://indico.ictp.it/event/11543/