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A Parallel Variant of BiCGStar-Plus Method Reduced to Single Global Synchronization

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AsiaSim 2013 (AsiaSim 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 402))

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Abstract

In this paper, we propose new product-type iterative methods by introducing the BiCGSafe strategy, i.e., utilization of associate residual in place of residual, to the variants of GPBiCG. We refer to BiCGStar (BiCG with stabilization of associate residual) and its improved version of BiCGStar method. BiCGStar and BiCGStar-plus methods outperform compared with the conventional iterative methods. Moreover, our proposed methods are suited to parallel computer with distributed memory systems, since they require single global synchronization per one iteration.

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References

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Fujino, S., Murakami, K. (2013). A Parallel Variant of BiCGStar-Plus Method Reduced to Single Global Synchronization. In: Tan, G., Yeo, G.K., Turner, S.J., Teo, Y.M. (eds) AsiaSim 2013. AsiaSim 2013. Communications in Computer and Information Science, vol 402. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45037-2_30

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  • DOI: https://doi.org/10.1007/978-3-642-45037-2_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-45036-5

  • Online ISBN: 978-3-642-45037-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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