Event calendar file
8-9 February 2011
Colaba Campus
Asia/Kolkata timezone
Finding selected eigenvalues of the lattice Dirac operator using the Lanczos algorithm with selective re-orthogonalization
Place
Location: Colaba Campus
Room: AG-66
Date:
9 Feb 14:15 - 3:45 PM
Description
An implementation and modification of the LANSO (Lanczos Algorithm with Selective re-Orthogonalization) of Parlett and Scott, for which we just use the (Hermitean) lattice Dirac operator as an example of a useful large sparse (Hermitean) operator. The talk would really be about Krylov spaces, the Lanczos algorithm in floating-point arithmetic, and how to avoid spurious repeated eigenvalues. It would also touch upon the Kaniel-Paige theory of convergence of Ritz pairs to actual eigenpairs, and some possibly new results on the rate of convergence of inner eigenvalues. The work is being done in collaboration with
Chris Johnson (EPCC) using the UK's Cray XT5h system Hector at EPCC.
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