Abstract
This work presents a parallelization of a recursive decoupling method for solving tridiagonal linear system on distributed memory computer. We study the fill-in in the algorithm to optimize the execution of the scalar algorithm and to perform the communications. Finally, we evaluate the algorithm through specific test on the Fujitsu AP3000.
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Amor, M., López, J., Argüello, F., Zapata, E. L.: Mapping Tridiagonal System Algorithms onto Mesh Connected Computers. International Journal of High Speed Computing 9 (1997) 101–126
Amodio, P., Brugnano, L.: The Parallel QR Factorization Algorithm for Tridiagonal Linear System. Parallel Computing 21 (1995) 1097–1110
Climent, J.-J., Tortosa, L., Zamora, A.: “A Recursive Decoupling Method for solving Tridiagonal Linear System in a BSP Computer”. Proceedings in X Jornadas de Paralelismo (1999) 73–78
Cox, C. L., Knisley, J. A.: A Tridiagonal System Solver for Distributed Memory Parallel Processors with Vector Nodes. Journal of Parallel and Distributed Computing 13 (1991) 325–331
Dodson, D. S., Levin, S. A.: A Tricyclic Tridiagonal Equation Solver. SIAM J. Matrix Anal. Appl. 13 (1992) 1246–1254
Eğecioğlu, Ö., Koç, Ç. K., Laub, A. J.: A Recursive Doubling Algorithm for Solution of Tridiagonal System on Hypercube Multiprocessor. J. of Computational and Applied Mathematics 27 (1985) 95–108
Golub, G. H., Van Loan, C. F.: Matrix Computations. The Johns Hopkins University Press (1989)
Groen, P. P. N. de: Base-p-Cyclic Reduction for Tridiagonal System of Equations. Applied Numerical Mathematics 8 (1991) 117–125
Hockney, R. W., Jesshope, C. R.: Parallel Computers. Adam Hilger (1988)
Krechel, A., Plum, H.-J., Stüben, K.: Parallelization and Vectorization Aspects of the Solution of Tridiagonal Linear System. Parallel Computing 14 (1990) 31–49
Lin, F. C., Chung, K. L.: “A Cost-Optimal Parallel Tridiagonal solver”. Parallel Computing 15 (1990) 189–199.
Lin, W.-Y., Chen, C.-L.: A Parallel Algorithm for Solving Tridiagonal Linear Systems on Distributed-Memory Multiprocessors. International Journal of High Speed Computing, 6 (1994) 375–386
Ishihata, H., Takahashi, M., Sato, H.: Hardware of AP3000 Scalar Parallel Server. FUJITSU Sci. Tech. J. 33(1) (1997) 24–30
Mattor, N., Williams, T. J., Hewett, D. W.: Algorithm for Solving Tridiagonal Matrix Problems in Parallel. Parallel Computing 21 (1995) 1769–1782
Müller, S. M., Scheerer, D.: A Method to Parallelixe Tridiagonal Solvers. Parallel Computing, 17 (1991) 181–188
Spaletta, G., Evans, D. J.: The Parallel Recursive Decoupling Algorithm for Solving Tridiagonal Linear Systems. Parallel Computing. 19 (1993) 563–576
Wang, X., Mou, Z. G.: The Parallel Recursive Decoupling Algorithm for Solving Tridiagonal Linear Systems. Proceedings of the third IEEE Symposium of Parallel and Distributed Processing (1991) 810–817
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© 2001 Springer-Verlag Berlin Heidelberg
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Amor, M., Argüello, F., López, J., Zapata, E.L. (2001). Parallelization of a Recursive Decoupling Method for Solving Tridiagonal Linear Systems on Distributed Memory Computer. In: Palma, J.M.L.M., Dongarra, J., Hernández, V. (eds) Vector and Parallel Processing — VECPAR 2000. VECPAR 2000. Lecture Notes in Computer Science, vol 1981. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44942-6_28
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DOI: https://doi.org/10.1007/3-540-44942-6_28
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