TY  - CONF
AU  - Di Napoli, Edoardo
TI  - Estimating the number of eigenvalues in a interval using the eigenproblem resolvent
M1  - FZJ-2014-06997
PY  - 2011
AB  - Symmetric generalized eigenvalue problems arise in many applications in chemistry physics and engineering. In several cases only a small fraction of the eigenpairs, usually located in a interval at one of the extremities of the spectrum, is required. Obtaining previous knowledge of the number of eigenvalues within the interval boudaries is often beneficial. For instance, for those iterative methods where a projector is used in conjunction with a Rayleigh-Ritz quotient this is an essential ingredient for reducing the number of iterations and increasing the accuracy. We present a potentially inexpensive technique to estimate the number of eigenvalues in a generic interval based on numerical manipulations of the eigenproblem resolvent.
T2  - 25th Umbrella Symposium
CY  - 13 Dec 2011 - 15 Dec 2011, Aachen (Germany)
Y2  - 13 Dec 2011 - 15 Dec 2011
M2  - Aachen, Germany
LB  - PUB:(DE-HGF)6
UR  - https://juser.fz-juelich.de/record/185571
ER  -