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SUMMARY:Asymptotics of the spectral norms of some interesting matrix seque
 nces - Albrecht Böttcher (TU Chemnitz)
DTSTART:20100226T150000Z
DTEND:20100226T160000Z
UID:TALK22629@talks.cam.ac.uk
CONTACT:6743
DESCRIPTION:The talk concerns the asymptotic behavior of the spectral norm
 \n(which is the largest eigenvalue in the case of positive definite matric
 es)\nof the n-by-n truncations of infinite matrices as n goes to infinity.
 \nAs examples\, we consider matrices arising in the analysis time series\n
 with long memory and matrices that emerge in connection with best constant
 s\nin inequalities of the Markov and Wirtinger types. The message of the t
 alk is\nthat a very fertile strategy for tackling the problem is an old id
 ea by\nHarold Widom and Lawrence Shampine: replace matrices by integral op
 erators\nand try to prove that the latter\, after appropriate scaling\,\nc
 onverge uniformly to a limiting integral operator.
LOCATION:MR4\, CMS
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