Buongiorno,
segnalo questo seminario di Michele Benzi in SNS, e ne approfitto per
ricordare anche quello di Liqun Qi di lunedì prossimo:
> Speaker: Liqun Qi, The Hong Kong Polytechnic University, Department of
> Applied Mathematics
>
> Title: Tensor Analysis: Spectral Theory and Special Tensors
>
> Room: Sala Riunioni, Dipartimento di Matematica
>
> Time: Monday, June 12, 11:00
-------- Forwarded Message --------
Subject: [Settimanale] avviso Seminario di Matematica prof. Michele
Benzi (8.06.2017)
Date: Mon, 5 Jun 2017 10:13:39 +0200
From: Valeria Giuliani <valeria.giuliani(a)sns.it>
SEMINARIO DI MATEMATICA
Giovedì 8 giugno 2017
ore 11:00
_Scuola Normale Superiore_
Pisa
Aula Marie Curie
*_ _*
* **Michele Benzi***
/(Samuel Candler Dobbs Professor - Emory University)/
*/ /*
terrà un seminario dal titolo:
*“**Decay properties of matrix functions with applications to electronic
structure computations**”***
* *
*Abstract:*
/Functions of matrices, such as the matrix exponential or the square
root, arise in a number of scientific and technical applications,
ranging from quantum mechanical computations to the structural analysis
of complex graphs and networks. The actual numerical evaluation of
functions of large and sparse matrices can be quite challenging, and
much effort has been devoted to this problem in recent years. An
important property that is frequently exhibited by analytic functions of
large and sparse matrices is the rapid off-diagonal decay of the matrix
entries; careful exploitation of this property can lead to algorithms
with optimal computational complexity (this means that the cost scales
linearly with the dimension of the problem).///
/In this talk I will present some rigorous estimates on the size of the
off-diagonal entries of analytic matrix functions. As a special case,
the theory yields a proof of the exponential decay, or "localization",
of the density matrix (spectral projector) arising in electronic
structure computations for gapped systems, a classical problem in solid
state physics and quantum chemistry. In addition to giving a precise
mathematical form to W. Kohn's notion of "nearsightedness of electronic
matter", these estimates provide a sound basis for the development of
linear scaling methods./*//*
*/ /*
Tutti gli interessati sono invitati a partecipare.
Classe di Scienze Matematiche e Naturali
Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
tel. 050 509260
Piazza dei Cavalieri, 7
56126 Pisa
E-mail: valeria.giuliani(a)sns.it <mailto:valeria.giuliani@sns.it>
E-mail: classi(a)sns.it <mailto:classi@sns.it>
