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UID:6853@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20200117T160000
DTEND;TZID=Europe/Paris:20200117T170000
DTSTAMP:20241120T202608Z
URL:https://www.i2m.univ-amu.fr/evenements/quantitative-diagonalizability-
 by-nikhil-srivastava/
SUMMARY:Colloquium (FRUMAM\, St Charles\, Marseille): Quantitative diagonal
 izability (by Nikhil SRIVASTAVA)
DESCRIPTION:Colloquium: Nikhil SRIVASTAVA (UC Berkeley)\nA diagonalizable m
 atrix has linearly independent eigenvectors. Since the set of nondiagonal
 izable matrices has measure zero\, every matrix is a limit of diagonaliza
 ble matrices. We prove a quantitative version of this fact: every n x n c
 omplex matrix is within distance delta in the operator norm of a matrix w
 hose eigenvectors have condition number poly(n)/delta\, confirming a con
 jecture of E. B. Davies. The proof is based adding a complex Gaussian per
 turbation to the matrix and studying its pseudospectrum.\nFinally\, we men
 tion a recent application of this result to numerical analysis\, yielding
  the fastest known provable algorithm for diagonalizing an arbitrary matr
 ix.\nJoint work with J. Banks\, A. Kulkarni\, S. Mukherjee\, J. Garza Varg
 as.
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Nikhil_Srivastava.jpg
CATEGORIES:Colloquium,Manifestation scientifique,Mathématiques de
 Marseille
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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DTSTART:20191027T020000
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