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Improving the Performance of a Verified Linear System Solver Using Optimized Libraries and Parallel Computation Kolberg, Mariana Bohlender, Gerd Claudio, Dalcidio Linear systems result verification parallel computing 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. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Mariana Kolberg and Gerd Bohlender and Dalcidio Claudio 2008 Is Part Of Dagstuhl Seminar Proceedings, Volume 8021, Numerical Validation in Current Hardware Architectures (2008) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/DagSemProc.08021.13 urn:nbn:de:0030-drops-14386 https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08021.13 eng https://creativecommons.org/licenses/by/4.0/legalcode