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Annual Report 2010 - Fachgruppe Informatik an der RWTH Aachen ...

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Research<br />

Cloud Computing<br />

The cloud computing model provides flexible support for “pay as you go” systems. In<br />

addition to no upfront investment in large clusters or supercomputers, such systems incur no<br />

mainten<strong>an</strong>ce costs. Furthermore, they c<strong>an</strong> be exp<strong>an</strong>ded <strong>an</strong>d reduced on-dem<strong>an</strong>d in real-time.<br />

Total cost c<strong>an</strong> be close to zero when resources are not in use. The cloud user c<strong>an</strong> pay costs<br />

directly proportional to need rather th<strong>an</strong> allocating resources according to average or peak<br />

load. Our research explores whether cloud computing services are suitable for highperform<strong>an</strong>ce<br />

computing (HPC) workloads. To this end, in addition to traditional metrics such<br />

as GFLOPS <strong>an</strong>d efficiency, we introduce <strong>an</strong>d study concepts like average expected<br />

perform<strong>an</strong>ce <strong>an</strong>d execution time, expected cost to completion, flops per dollars.<br />

Eigencomputations in Physics<br />

Density Functional Theory (DFT) [1] is a powerful method of investigation that has become<br />

the “st<strong>an</strong>dard model” of material science. DFT is one of the most effective frameworks for<br />

studying complex qu<strong>an</strong>tum mech<strong>an</strong>ical systems. DFT-based methods are growing as the<br />

st<strong>an</strong>dard tools for simulating new materials. At the core of DFT lie a large number of<br />

generalized eigenproblems, to be solved at each iteration of <strong>an</strong> iterative process. Our goal is to<br />

take adv<strong>an</strong>tage of physical knowledge to speed up the computation of both each individual<br />

eigenproblem, <strong>an</strong>d of the whole sequence.<br />

Parallel Eigensolvers<br />

The computation of eigenvalues <strong>an</strong>d eigenvectors of symmetric tridiagonal matrices is most<br />

common in applications, <strong>an</strong>d it is one the steps in the solution of Hermiti<strong>an</strong> <strong>an</strong>d symmetric<br />

eigenproblems. While several accurate <strong>an</strong>d efficient methods for the triadiagonal<br />

eigenproblem exist, the state of the art libraries only target uniprocessors or large distributed<br />

memory systems. We are developing new eigensolvers specifically designed for todays<br />

architectures, r<strong>an</strong>ging from multi-core <strong>an</strong>d m<strong>an</strong>y-core, to GPUs, to hybrid systems. Our target<br />

is to establish the reference parallel library for eigencomputations.<br />

448

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