Spectral inclusions and approximations of finite and infinite banded matrices
- 👤 Speaker: Marko Lindner
- 📅 Date & Time: Tuesday 28 May 2024, 15:00 - 16:00
- 📍 Venue: Centre for Mathematical Sciences, MR19
Abstract
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.
Series This talk is part of the Applied and Computational Analysis series.
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Marko Lindner
Tuesday 28 May 2024, 15:00-16:00