DagSemProc.08021.13.pdf
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Improving the Performance of a Verified Linear System Solver Using Optimized Libraries and Parallel Computation
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Dagstuhl Seminar Proceedings, Volume 8021
Series: Dagstuhl Seminar Proceedings (DagSemProc) - License:
Creative Commons Attribution 4.0 International license
- Publication Date: 2008-04-22
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Mariana Kolberg, Gerd Bohlender, and Dalcidio Claudio. Improving the Performance of a Verified Linear System Solver Using Optimized Libraries and Parallel Computation. In Numerical Validation in Current Hardware Architectures. Dagstuhl Seminar Proceedings, Volume 8021, pp. 1-5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)
https://doi.org/10.4230/DagSemProc.08021.13
Abstract
A parallel version of the self-verified method for solving linear systems was presented on PARA and VECPAR conferences in 2006. In this research we propose improvements aiming at a better performance. The idea is to implement an algorithm that uses technologies as MPI communication primitives associated to libraries as LAPACK, BLAS and C-XSC, aiming to provide both self-verification and speed-up at the same time. The algorithms should find an enclosure even for very ill-conditioned problems. In this scenario, a parallel version of a self-verified solver for dense linear systems appears to be essential in order to solve bigger problems. Moreover, the major goal of this research is to provide a free, fast, reliable and accurate solver for dense linear systems.
Subject Classification
Keywords
- Linear systems
- result verification
- parallel computing
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