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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Numerical Analysis Seminars: Computations in Infinite Dimensions

Presented by Anders Hansen, Cambridge (DAMTP)

12 March 2010 14:15 in CM105

Let A be an n by n matrix. Questions on
computing spectra of A, finding eigenvectors, solving linear systems
etc. have been essential in applied mathematics for
decades. More recently, another area of matrix computations has
received much attention, namely, the remarkable theory of Compressed

What if A is replaced by an infinite matrix or rather an
operator on a separable Hilbert space. The same computational
questions may be asked, however, much less is known.
In this talk I will discuss some new developments in infinite
dimensional matrix computations emphasizing the computational spectral
problem and infinite dimensional compressed sensing. In particular, I
will show how one can compute spectra of arbitrary bounded Hilbert
space operators and also how the ideas in compressed sensing can be
extended to infinite dimensions.

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