<div dir="ltr"><div><br></div><div>Buongiorno a tutti, <br></div><div><br></div><div>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, <font size="2"><span style="font-family:sans-serif" role="presentation" dir="ltr">Corso Strada Nuova 65</span>, <span style="font-family:sans-serif" role="presentation" dir="ltr">Università di Pavia. <br></span></font></div><div><font size="2"><span style="font-family:sans-serif" role="presentation" dir="ltr"><br></span></font></div><div><font size="2"><span style="font-family:sans-serif" role="presentation" dir="ltr">Ecco titolo e abstract. <br></span></font></div><div><font size="2"><span style="font-family:sans-serif" role="presentation" dir="ltr">In allegato trovate la locandina. <br></span></font></div><div><font size="2"><span style="font-family:sans-serif" role="presentation" dir="ltr"><br></span></font></div><div><font size="2"><span style="font-family:sans-serif" role="presentation" dir="ltr">Cordiali saluti, <br></span></font></div><div><font size="2"><span style="font-family:sans-serif" role="presentation" dir="ltr">Paola <br></span></font>
</div><div><div><br></div><div class="gmail_quote"><div style="word-wrap:break-word;line-break:after-white-space"><div>*******************************************************************************************************************************************</div><div><span style="line-height:16px"><font size="4" face="Times">Functions of matrices: theory, applications and computation</font></span><div style="line-height:16px"><font size="4" face="Times"><br></font></div><div style="line-height:16px"><font size="4" face="Times">Michele Benzi</font></div><div style="line-height:16px"><font size="4" face="Times">Scuola Normale Superiore, Pisa<br></font><div><font size="4" face="Times"><br></font></div><div><font size="4" face="Times">Abstract: In this talk I will first give a brief history of matrix and operator functions. </font></div><div><font size="4" face="Times">The story begins with the early work of Cayley and Sylvester on matrix algebra in the</font></div><div><font size="4" face="Times">XIX Century, continues in the XX Century with the important contributions of Weyr, </font></div><div><font size="4" face="Times">E. Cartan, Giorgi, and Cipolla, and culminates with the development of various functional </font></div><div><font size="4" face="Times">calculi for linear operators (both bounded and unbounded) in the context of modern </font></div><div><font size="4" face="Times">functional analysis. Much of this work is motivated by applications, especially in Physics,</font></div><div><font size="4" face="Times">a few of which will be described in the second part of the talk, together with emerging </font></div><div><font size="4" face="Times">new applications in Network Science. In the last part of the talk I will discuss some results </font></div><div><font size="4" face="Times">on decay properties of functions of large, sparse matrices and current work on efficient </font></div><div><font size="4" face="Times">algorithms for evaluating quantities such as the trace of a matrix function or the action of </font></div><div><font size="4" face="Times">a matrix function on a given vector using Krylov subspace methods. </font></div></div></div><div><div>*******************************************************************************************************************************************</div></div><div><br></div><div><br></div><br></div></div></div></div>