[Dottorcomp] Lezione inaugurale Dottorato in Matematica 38 ciclo

[Frediani Paola]

Buongiorno a tutti,

vi invito a partecipare alla lezione inaugurale del 38 ciclo del dottorato
Pavia-Milano Bicocca - INdAM in matematica  che si terra' venerdi' 18
novembre alle 14:00 in  Aula Scarpa, Corso Strada Nuova 65, Università di
Pavia.

Ecco titolo e abstract.
In allegato trovate la locandina.

Cordiali saluti,
Paola

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Functions of matrices: theory,  applications and computation

Michele Benzi
Scuola Normale Superiore, Pisa

Abstract:  In this talk I will first give a brief history of matrix and
operator functions.
The story begins with the early work of Cayley and Sylvester on matrix
algebra in the
XIX Century, continues in the XX Century with the important contributions
of Weyr,
E. Cartan, Giorgi, and Cipolla, and culminates with the development of
various functional
calculi for linear operators (both bounded and unbounded) in the context of
modern
functional analysis.  Much of this work is motivated by applications,
especially in Physics,
a few of which will be described in the second part of the talk, together
with emerging
new applications in Network Science.  In the last part of the talk I will
discuss some results
on decay properties of functions of large, sparse matrices and current work
on efficient
algorithms for evaluating quantities such as the trace of a matrix function
or the action of
a matrix function on a given vector using Krylov subspace methods.
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