Abstract
In this paper we discuss the implementation of selfverifying solvers for systems of linear equations Ax = b with dense and banded matrices A and the future adaptation these solvers to high performance environments. The algorithms were implemented using C-XSC (a C++ class library for extended scientific computing). We discuss, too, the integration between C-XSC and MPI libraries on cluster computers. The main topics of our research are the development of software tools for Validated Numerics in High Performance Environments using C-XSC and MPI, the optimization of C-XSC and its use on cluster computers and the application these software tools to real life problems [5].
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Hölbig, C.A., Júnior, P.S.M., Alcalde, B.F.K., Diverio, T.A. (2004). Selfverifying Solvers for Linear Systems of Equations in C-XSC. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2003. Lecture Notes in Computer Science, vol 3019. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24669-5_38
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DOI: https://doi.org/10.1007/978-3-540-24669-5_38
Publisher Name: Springer, Berlin, Heidelberg
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