Spectral inclusions and approximations of finite and infinite banded matrices

Add to your list(s) Download to your calendar using vCal

• Marko Lindner
• Tuesday 28 May 2024, 15:00-16:00
• Centre for Mathematical Sciences, MR19.

If you have a question about this talk, please contact Matthew Colbrook.

We derive inclusion sets and approximations to spectrum and pseudospectrum of banded, in general non-normal, matrices of finite or infinite size. In the infinite case (bi- or semi-infinite), the matrix acts as a bounded linear operator on the corresponding l^2 space, and we moreover bound and approximate its essential spectrum.

Our inclusion sets come as unions of pseudospectra of certain submatrices of chosen size. Via this choice, we can balance accuracy against numerical cost. The philosophy is to split one global spectral problem into several local problems of moderate size.

This talk is part of the Applied and Computational Analysis series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• Applied and Computational Analysis
• CMS Events
• Centre for Mathematical Sciences, MR19
• DAMTP info aggregator
• Featured lists
• Interested Talks
• My seminars
• Type the title of a new list here
• bld31

Note that ex-directory lists are not shown.