COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Cambridge Analysts' Knowledge Exchange (C.A.K.E.) > The Solvability Complexity Index and Approximations of Spectra of Operators

## The Solvability Complexity Index and Approximations of Spectra of OperatorsAdd to your list(s) Download to your calendar using vCal - Dr A. Hansen (DAMTP)
- Wednesday 22 February 2012, 16:00-17:30
- MR14, CMS.
If you have a question about this talk, please contact Edward Mottram. In this talk we will discuss the following long standing and fundamental problem: Given an operator on a separable Hilbert space (with an orthonormal basis), can one compute/construct its spectrum from its matrix elements. As we want such a construction to be useful in application (i.e. implementable on a computer), we restrict ourselves to only allowing the use of arithmetic operations and radicals of the matrix elements and taking limits. We will give an affirmative answer to the question, and also introduce a classification tool for the complexity of different computational spectral problems, namely, the Solvability Complexity Index. This talk is part of the Cambridge Analysts' Knowledge Exchange (C.A.K.E.) series. ## This talk is included in these lists:- All CMS events
- CMS Events
- Cambridge Analysts' Knowledge Exchange (C.A.K.E.)
- DAMTP info aggregator
- MR14, CMS
Note that ex-directory lists are not shown. |
## Other listsCosmology lists Creative Research at Museum of Archaeology & Anthropology Cambridge Product Management Network## Other talksUnder pressure: Environmental stressors alter relationships between physiology and behaviour in fishes A Defence of Mathematical Modelling in Economics How does a bird know what nest to build? Vibration analysis for energy harvesting Inferno XXIV, Purgatorio XXIV, Paradiso XXIV TBC |