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TZID:Europe/Vienna
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DTSTART:20230326T030000
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BEGIN:VEVENT
DTSTAMP:20260424T143424Z
UID:1698073200@ist.ac.at
DTSTART:20231023T170000
DTEND:20231023T180000
DESCRIPTION:Speaker: Hong Chang Ji\nhosted by M. Beiglböck\, N. Berestycki
 \, L. Erdös\, J. Maas\, F. Toninelli\, E. Schertzer\nAbstract: The spect
 rum of a general non-Hermitian (non-normal) matrix is unstable\; a ti
 ny perturbation of the matrix may result in a huge difference in its eige
 nvalues. This instability is often quantified as eigenvalue condition num
 bers in numerical linear algebra or as eigenvector overlap in random mat
 rix theory. In this talk\, we show that adding a random noise matrix regu
 larizes this instability\, by proving a nearly optimal upper bound of ei
 genvalue condition numbers. We will also discuss the pseudospectrum of a r
 andomly perturbed matrix and its connection to the condition number. This
  talk is based on joint works with László Erdös.
LOCATION:Mondi 2 (I01.01.008)\, Central Building\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at 
SUMMARY:Hong Chang Ji: Regularization of non-Hermitian matrices by noise
URL:https://talks-calendar.ista.ac.at/events/4339
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