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Representing Higher Dimensional Arrays into Generalized Two-Dimensional Array: G2A

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Advances in Parallel and Distributed Computing and Ubiquitous Services

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 368))

Abstract

Two dimensional array operations are prominent for array applications because of their simplicity and good performance. But in practical applications, the array dimension is large and hence efficient design of multidimensional array operation is an important research issue. In this paper, we propose a two dimensional representation of multidimensional array. The scheme converts an n dimensional array into a two dimensional array. We design efficient algorithms for matrix-matrix addition/subtraction and multiplication using our scheme. The experimental results show that the proposed scheme outperforms the Traditional Multidimensional Array (TMA) based algorithms.

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References

  1. Lin C-Y, Liu J-S, Chung Y-C (2002) Efficient representation scheme for multidimensional array operations. IEEE Trans Comput 51(3):327–345

    Google Scholar 

  2. Carr S, McKinley KS, Tseng C-W (1994) Compiler optimizations for improving data locality. In: Proceedings of the sixth international conference on architectural support for programming languages and operating systems, p. 252–262

    Google Scholar 

  3. McKinley KS, Carr S, Tseng C-W (1996) Improving data locality with loop transformations. ACM Trans Program Lang Syst (TOPLAS) 18(4):424–453

    Google Scholar 

  4. Sarawagi S, Stonebraker M (1994) Efficient organization of large multidimensional arrays In: Proceedings of 10th international conference on data engineering (ICDE), pp 328–386. Houston, Texas

    Google Scholar 

  5. Zhao Y, Deshpande P, Naughton JF (1997) An array-based algorithm for simultaneous multidimensional aggregates. In: Proceedings of SIGMOD Conference, pp 159–170

    Google Scholar 

  6. Deshpande P, Ramasamy K, Shukla A, Naughton JF (1998) Caching multidimensional queries using chunks. In: Proceedings of the ACM SIGMOD conference on management of data, pp 259–270

    Google Scholar 

  7. Steinbach M, Ertöz L, Kumar V (2004) The challenges of clustering high dimensional data. New directions in statistical physics, pp 273–309. Springer, Berlin

    Google Scholar 

  8. Soroush E, Balazinska M (2011) ArrayStore: a storage manager for complex parallel array processing. In: Proceedings of ACM SIGMOD international conference on management of data, pp 253–264

    Google Scholar 

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Correspondence to K. M. Azharul Hasan .

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© 2016 Springer Science+Business Media Singapore

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Azharul Hasan, K.M., Shaikh, M.A.H. (2016). Representing Higher Dimensional Arrays into Generalized Two-Dimensional Array: G2A. In: Park, J., Yi, G., Jeong, YS., Shen, H. (eds) Advances in Parallel and Distributed Computing and Ubiquitous Services. Lecture Notes in Electrical Engineering, vol 368. Springer, Singapore. https://doi.org/10.1007/978-981-10-0068-3_5

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  • DOI: https://doi.org/10.1007/978-981-10-0068-3_5

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-0067-6

  • Online ISBN: 978-981-10-0068-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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