Abstract.
This work presents a simple but effective approach for two representative linear algebra operations to be solved in parallel on Ethernet-based clusters: matrix multiplication and LU matrix factorization. The main objectives of this approach are: simplicity and performance optimization. The approach is completed at a lower level by including a broadcast routine based directly on top of UDP to take advantage of the Ethernet physical broadcast facility. The performance of the proposed algorithms implemented on Ethernet-based clusters is compared with the performance obtained with the ScaLAPACK library, which is taken as having highly optimized algorithms for distributed memory parallel computers in general and clusters in particular.
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References
Anderson, E., et al.: LAPACK: A Portable Linear Algebra Library for High- Performance Computers. In: Proceedings of Supercomputing 1990, pp. 1–10. IEEE Press, Los Alamitos (1990)
Blackford, L., et al.: ScaLAPACK Users’ Guide. SIAM, Philadelphia (1997)
Dongarra, J., Du Croz, J., Hammarling, S., Hanson, R.: An extended Set of Fortran Basic Linear Subroutines. ACM Trans. Math. Soft. 14(1), 1–17 (1988)
Dongarra, J., Geist, A., Manchek, R., Sunderam, V.: Integrated pvm framework supports heterogeneous network computing. Computers in Physics 2(7), 166–175 (1993)
Dongarra, J., Walker, D.: Libraries for Linear Algebra. In: Sabot, G.W. (ed.) High Performance Computing: Problem Solving with Parallel and Vector Architectures, pp. 93–134. Addison-Wesley Publishing Company, Inc., Reading (1995)
Hockney, R., Berry, M. (eds.): Public International Benchmarks for Parallel Computers. Scientific Programming 3(2), 101–146 (1994)
Institute of Electrical and Electronics Engineers, Local Area Network - CSMA/CD Access Method and Physical Layer Specifications ANSI/IEEE 802.3 - IEEE Computer Society (1985)
Kumar, V., Grama, A., Gupta, A., Karypis, G.: Introduction to Parallel Computing. Design and Analysis of Algorithms. The Benjamin/Cummings Publishing Company, Inc. (1994)
Message Passing Interface Forum, MPI: A Message Passing Interface standard. International Journal of Supercomputer Applications 8(3/4) (1994)
Tinetti, F., Quijano, A., De Giusti, A., Luque, E.: Heterogeneous Networks ofWorkstations and the Parallel Matrix Multiplication. In: Cotronis, Y., Dongarra, J. (eds.) PVM/MPI 2001. LNCS, vol. 2131, pp. 296–303. Springer, Heidelberg (2001)
Wilkinson, B., Allen, M.: Parallel Programming: Techniques and Applications Using Networked Workstations and Parallel Computers. Prentice-Hall, Inc., Englewood Cliffs (1999)
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Tinetti, F.G., Denham, M., De Giusti, A. (2003). Parallel Matrix Multiplication and LU Factorization on Ethernet-Based Clusters. In: Veidenbaum, A., Joe, K., Amano, H., Aiso, H. (eds) High Performance Computing. ISHPC 2003. Lecture Notes in Computer Science, vol 2858. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39707-6_38
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DOI: https://doi.org/10.1007/978-3-540-39707-6_38
Publisher Name: Springer, Berlin, Heidelberg
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