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SUMMARY:Spectral inclusions and approximations of finite and infinite band
 ed matrices - Marko Lindner
DTSTART:20240528T140000Z
DTEND:20240528T150000Z
UID:TALK217426@talks.cam.ac.uk
CONTACT:Matthew Colbrook
DESCRIPTION:We derive inclusion sets and approximations to spectrum and ps
 eudospectrum of banded\, in general non-normal\, matrices of finite or inf
 inite 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 moreo
 ver bound and approximate its essential spectrum.\n\nOur inclusion sets co
 me as unions of pseudospectra of certain submatrices of chosen size. Via t
 his choice\, we can balance accuracy against numerical cost. The philosoph
 y is to split one global spectral problem into several local problems of m
 oderate size.\n
LOCATION:Centre for Mathematical Sciences\, MR19
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