Abstract
In this paper we present two parallel routines for the LU factorization of band matrices arising in model reduction problems that target SMP architectures. The special properties of these problems often allows the elimination of pivoting during the factorization, and results in a higher efficiency of the parallel routines. Also, the routines aggregate operations during the iteration, exposing a coarser-grain parallelism than their LAPACK counterpart. Experimental results on two different parallel platforms show the benefits of the new approach.
This research was supported by the CICYT project TIN2005-09037-C02-02 and FEDER, and the DAAD programme Acciones Integradas HA2005-0081.
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Remón, A., Quintana-Ortí, E.S., Quintana-Ortí, G. (2008). Parallel Solution of Band Linear Systems in Model Reduction. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Wasniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2007. Lecture Notes in Computer Science, vol 4967. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68111-3_71
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DOI: https://doi.org/10.1007/978-3-540-68111-3_71
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