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math.NA2013
Improved Accuracy and Parallelism for MRRR-based Eigensolvers -- A Mixed Precision Approach
Matthias Petschow, Enrique Quintana-Orti, Paolo Bientinesi
The real symmetric tridiagonal eigenproblem is of outstanding importance in numerical computations; it arises frequently as part of eigensolvers for standard and generalized dense…
math.NA2009
An Example of Symmetry Exploitation for Energy-related Eigencomputations
Matthias Petschow, Edoardo Di Napoli, Paolo Bientinesi
One of the most used approaches in simulating materials is the tight-binding approximation. When using this method in a material simulation, it is necessary to compute the eigenval…