MATH Seminar

Title: Sparse numerical linear algebra and interpolation spaces
Seminar: Numerical Analysis and Scientific Computing
Speaker: Mario Arioli of Rutherford Appleton Laboratory, UK
Contact: Michele Benzi, benzi@mathcs.emory.edu
Date: 2013-03-06 at 12:50PM
Venue: W306
Download Flyer
Abstract: We derive discrete norm representations associated with projections of interpolation spaces onto finite dimensional subspaces. These norms are products of integer and noninteger powers of the Gramian matrices associated with the generating pair of spaces for the interpolation space. We include a brief description of some of the algorithms which allow the efficient computation of matrix powers. We consider in some detail the case of fractional Sobolev spaces both for positive and negative indices together with applications arising in preconditioning techniques. Several other applications are described.