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SPARTH: A family of systems for parallel high-accuracy computations

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Parallel Computing Technologies (PaCT 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1277))

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Abstract

The methods are shown for overcoming rounding errors on different kinds of parallel computers. The typical problems are demonstrated and situation are investigated which lead to large increase of the errors mentioned. A family of packages are described for organizing the super-precision computations with dynamically changed length of operands for both SIMD and MIMD models of computations.

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References

  1. Aguliar M.F., Duprat J. 'Towards a high precision massively parallel computer' Proc. of PARLE'91, Parallel Architectures and Languages Europe, Athens, Greece, Springer-Verlag, Berlin, P. 73–84, 1994. (Lect. Not. in Comp. Sci., 817).

    Google Scholar 

  2. Batcher, K.E. Bit STARAN series E, Proc. of Int. Conf. Parallel Processing IEEE, New York, pp. 140–143, 1977.

    Google Scholar 

  3. Bleher J.H., Rump S.M., Kulisch U., et al. 'FORTRAN-SC: a Study of a FORTRAN Extension for Engineering/ Scientific Computation with Access to ACRITH', Computing, Springer, Vol. 39, P. 93–110, 1987.

    Google Scholar 

  4. Buell D., Ward R. 'A multiprecise integer arithmetic package' The Journal of Supercomputing, Vol. 3, N 2, P. 89–107, 1989.

    Google Scholar 

  5. Davidenkof A. ‘High accuracy arithmetic on transputers’ Computer Arithmetic, Scientific Computation and Mathematical Modelling. Proc. of SCAN'90. Albena, 1990. IMACS Annals on Computing and Applied Mathematic, Vol. 12, (1992), J.C. Baltzer AG, Basel, P. 45–61, 1991.

    Google Scholar 

  6. De Pinto P., Lauria Fr. E., Sette M. `Implementing arbitrary precision arithmetic in a general purpose neural networks' Parallel Computing: Problems, Methods and Applications, Elsevier Science Publ. B.V., P. 477–485, 1992.

    Google Scholar 

  7. Matte R., Kulisch U., Neaga M., Ratz D., Ullrich Ch. Pascal-XSC. Language Reference with Examples Springer-Verlag 1991. 5Vol.C-36, N 9, P. 1088–1096, 1987.

    Google Scholar 

  8. Michelucci D. ‘Arithmetic Issues in Geometric Computations’ Proc. Second Real Numbers and Computer Conference pages 43–69, CIRM, Marseille, France, April 1996.

    Google Scholar 

  9. D. Ratz, D. ‘The effects of the arithmetic of vector computers on basic numerical methods’ Contributions to Computer Arithmetic and Self-Validating numerical methods. IMACS Annals on Computing and Applied Mathematics, J.C.Baltzer AG, Basel, P. 499–514, 1990.

    Google Scholar 

  10. Vazhenin, A. ‘Programming system for high-accuracy computations for associative array processors’ Proc. of the Int. Conf. CONPAR 90-VAPP IV, Vol. of Special Technical Contributions, Zürich, 1990, pp. 69–72.

    Google Scholar 

  11. Vazhenin A.P., Mirenkov N.N. 'SCORE: Scientific Computers Overcoming Rounding Errors' PARALLEL COMPUTING: Trends and Applications, North-Holland, P. 387–394, 1994.

    Google Scholar 

  12. Vazhenin A. 'Efficient high-accuracy computations in massively parallel systems' Proc. “Workshop on Parallel Scientific Computing PARA94-L”, Lyngby, Denmark, Springer-Verlag, Berlin, 1994, P. 505–519. (Lect. Not. in Comp. Sci., 879).

    Google Scholar 

  13. Vazhenin A., Morozov V. Parallel iterative solution of linear equations with dynamically changed length of operands, Proc. of the Int. Conf. Parallel Computing Technilogies (PaCT-95), 1995, Springer-Verlag, Lect. Notes in Comp. Sci., Vol.964, pp. 294–303.

    Google Scholar 

  14. Vazhenin A., Morozov V. Portable Multiprecision Arithmetic Package Based on Message Passing Interface, Proc. of the International Conference “Parallel Algorithms/Architecture Sysnthesis” (pAs'97), 1997, IEEE Computer Society Press, Los Alamitos, California, pp. 324–331.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Computing Center of SD RAS, 6 Lavrentiev Ave., 630090, Novosibirsk, Russia

    Alexander Vazhenin

  2. Faculty of Mathematics and Informatic, Novosibirsk State Technical University, 20, K. Marx ave., 630092, Novosibirsk, Russia

    Vitaly Morozov

Authors
  1. Alexander Vazhenin
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  2. Vitaly Morozov
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Victor Malyshkin

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© 1997 Springer-Verlag Berlin Heidelberg

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Vazhenin, A., Morozov, V. (1997). SPARTH: A family of systems for parallel high-accuracy computations. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 1997. Lecture Notes in Computer Science, vol 1277. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63371-5_53

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  • DOI: https://doi.org/10.1007/3-540-63371-5_53

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63371-6

  • Online ISBN: 978-3-540-69525-7

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