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Large Scale Peer to Peer Performance Evaluations, with Gauss-Jordan Method as an Example

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Book cover Parallel Processing and Applied Mathematics (PPAM 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3019))

Abstract

This paper presents a large scale block-based Gauss-Jordan algorithm to invert very large dense matrices. This version proposes to exploit peer-to-peer (P2P) platforms with increasingly large sets of distributed heterogeneous resources. We assume that we have access to a scheduler that proposes strategies allowing data nailing and data migration anticipation heuristics. Under given hypotheses, we present the up bounds of theoretical evaluation results, using different P2P platforms, with sufficient number of peers interconnected by different networks. Nevertheless, we discuss that, in these cases, the classical evaluation model is not well-adapted to this P2P computing paradigm for large scale scientific applications.

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References

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© 2004 Springer-Verlag Berlin Heidelberg

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Petiton, S.G., Aouad, L.M. (2004). Large Scale Peer to Peer Performance Evaluations, with Gauss-Jordan Method as an Example. 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_121

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  • DOI: https://doi.org/10.1007/978-3-540-24669-5_121

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21946-0

  • Online ISBN: 978-3-540-24669-5

  • eBook Packages: Springer Book Archive

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