D.M.: Solvers with High Accuracy to Linear Systems on Clusters

Abstract: Many different numerical algorithms contain the solution of lin-ear equation systems as a subproblem. Because of these aspects, this work aims the development of solvers to linear systems (for dense and sparse matrices) with high accuracy on cluster computers using C-XSC library (a C++ class library for extended scientific computing with special characteristics for the develop-ment of algorithms with high accuracy and with interval arithmetic – see details about this library in [1]). The integration between C-XSC and MPI libraries on cluster computer was necessary and essential for the implementation of our al-gorithms in this kind of environment. We want to join the high accuracy given by C-XSC with the computational gain provided by parallelization [2]. Actu-ally, our software run on labtec cluster at UFRGS and the integration between C-XSC and MPI was done correctly [3]. About the C-XSC programs executed on cluster, some changes were made in the programs for their correct use in this environment, mainly about how to manipulate dotprecisions variables (high ac-curacy variables). Nowadays we are working in the implementation of paralle