Seminars at the Faculty of Informatics

Fast computation of orthonormal basis for RBF spaces through Krylov space methods

The Faculty of Informatics is pleased to announce a seminar given by Stefano De Marchi

DATE: Thursday, August 21 2014
PLACE: USI Lugano Campus, room SI-008, Informatics building (Via G. Buffi 13)
TIME: 15.30

In the setting of Radial Basis Function (RBF) approximation, some efforts has been made to construct bases which allows to better compute the approximant, both from the point of view of convergence and of stability. We proposed in a recent work the so called WSVD basis (Weighted SVD). We discuss here a method to improve and compute in a fast way this basis using methods related to Krylov subspaces. After dealing with the connection between the two bases, we concentrate on the features of the new one, describing its behavior through some numerical tests.

Stefano De Marchi is associate professor in Numerical Analysis at the University of Padua. He is author and co-author of more than 80 scientific papers, many of them in approximation theory, multivariate polynomial interpolation, approximation by radial basis functions and recently also in rational interpolation. He is one of the discoverers of the so called "Padua points", which are the only set of quasi-optimal interpolation points explicitly known on the square, for polynomial interpolation of total degree.
He is main editor of the open access journal Dolomites Research Notes on Approximation (DRNA), co-founder of the research group CAA (Constructive Approximation and Applications) between the Universities of Padua and Verona. Since 2006 he is one of the organizers of the Dolomites Workshop on Contructive Approximation Theory and Applications. He is also editor of J. of Pure and Appl.
Mathematics: Advances and Applications and the Scientific World Jorunal. He is also author of the books Funzioni Splines Univariate (Forum, Ed. Universitaria Udinese, 2001), Appunti di Calcolo Numerico (Esculapio Ed. Bologna, 2011) and Meshfree Approximation for Multi-Asset European and American Option Problems (Aracne Ed. Roma, 2012).

HOST: Prof. Kai Hormann