Abstract
In this contribution the vectorization technique on the current vector supercomputer are derived from the relation between the number of gridpoints in the x, y directions in three dimension. This technique is applied to vectorization of the SOR method. Moreover the actual efficiency on the vector supercomputer is examined, and it is shown that the SOR method vectorized by this technique has a high efficiency as more than 90% of the maximum speed of the vector supercomputer.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Adams, L.M., Jordan, H.F.: Is SOR color-blind ?. SIAM J. Sci. Stat. Comput. 7(1986) 490–506
Brand, C.W.: An incomplete-factorization preconditioning using repeated redblack ordering. Numer. Math. 61(1992) 433–454
Fujino, S., Tamura, T., and Kuwahara, K.: Multicolored Poisson Solver for Fluid Flow Problems. Proc. of the 8-th GAMM Conference on Numerical Methods in Fluid Mechanics The Netherlands (1989) 148–158
Hageman, L.A., Young, D.M.: Applied Iterative Methods Academic Press, New York 1981
Iwatsu, R., Hyun, J.M., and Kuwahara, K.: Driven Cavity Flow with Stabilizing Temperature Stratification. AIAA Paper 92-0713 Reno NV 1992
Jones, M.T., Plassmann, P.E.: The effect of many color orderings on the convergence of iterative methods. Proc. of Copper Mountain Conference on Iterative Methods s2 Colorado 1992
Poole, E., Ortega, J.M.: Multicolor ICCG Methods for Vector Computers. SIAM J. Numer. Anal. 24(1987) 1394–1418
Ramdas, M., Kincaid, D.R.: Parallelizing ITPACKV 2D for the CRAY Y-MP. Proc. of IMACS Int. Conference on Iterative Methods in Linear Algebra 1992 323–347
Young, D.M.: Iterative Solution of Large Linear Systems. Academic Press New York 1971
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Fujino, S., Himeno, R. (1996). A vectorization technique for a family of finite difference formulae and its performance evaluation. In: Waśniewski, J., Dongarra, J., Madsen, K., Olesen, D. (eds) Applied Parallel Computing Industrial Computation and Optimization. PARA 1996. Lecture Notes in Computer Science, vol 1184. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62095-8_30
Download citation
DOI: https://doi.org/10.1007/3-540-62095-8_30
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-62095-2
Online ISBN: 978-3-540-49643-4
eBook Packages: Springer Book Archive