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SUMMARY:The Solvability Complexity Index and Approximations of Spectra of 
 Operators - Dr A. Hansen (DAMTP)
DTSTART:20120222T160000Z
DTEND:20120222T173000Z
UID:TALK36203@talks.cam.ac.uk
CONTACT:Edward Mottram
DESCRIPTION:In this talk we will discuss the following long standing and\n
 fundamental problem: Given an operator on a separable Hilbert space (with 
 an orthonormal basis)\, can one compute/construct its spectrum from its ma
 trix elements. As we want such a construction to be useful in application 
 (i.e. implementable on a computer)\, we restrict ourselves to only allowin
 g the use of arithmetic operations and radicals of the matrix elements and
  taking limits. We will give an affirmative answer to the question\, and a
 lso introduce a classification tool for the complexity of different comput
 ational spectral problems\, namely\, the Solvability Complexity Index.
LOCATION:MR14\, CMS
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