Skip to main content
SpringerLink
Log in

Parallel iterative solution of systems of linear equations with dynamically changed length of operands

  • Conference paper
  • First Online:
Parallel Computing Technologies (PaCT 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 964))

Included in the following conference series:

Abstract

The paper deals with the development of parallel iterative algorithms for solving systems of linear equations in MIMD architecture. The problem is discussed taking into account factors, defining both the time and the accuracy of solution. The new parallel algorithm is described implementing the multistep refinement of results. The speedup is achieved using small operand length at early stages of solution. The results are presented of some numerical experiments executed in a multitransputer system.

This research was supported by a Russian Foundation for Basic Research grant No.95-01-01350a

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Buell, D., Ward, R.: A multiprecise integer arithmetic package. The Journal of Supercomputing. 3 No 2 (1989) 89–107

    Google Scholar 

  2. Vazhenin, A., Mirenkov, N.: SCORE: Scientific Computers for Overcoming Rounding Errors. PARALLEL COMPUTING: Trends and Applications. North-Holland (1994) 347–354

    Google Scholar 

  3. Aguliar, M.F., Duprat, J.: Towards a high precision massively parallel computer. Proc. of PARLE'94 Conference. Lect. Not. in Comp. Sci. Springer-Verlag. Berlin 817 (1994) 73–84

    Google Scholar 

  4. Vazhenin, A.P.: Efficient high-accuracy computations in massively parallel systems. Proc. of the Workshop on Parallel Scientific Computing (PARA'94-L). Lect. Not. in Comp. Sci. Berlin, Springer-Verlag 879 (1994) 505–519

    Google Scholar 

  5. Rice, J.R.: Matrix Computations and Mathematical Software. McGraw-Hill Book Company, New York (1981)

    Google Scholar 

  6. Fadeev, D.C., Fadeeva, V.N.: Computational Methods of Linear Algebra. FISMATGIS, Moscow, (1963)

    Google Scholar 

  7. Bakhvalov, N.S., Zhidkov, N.P., Kobelkov, G.M.: Numerical Methods. Nauka, Moscow, (1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Alexander Vazhenin

  2. Novosibirsk State University, 2 Pirogov Str., 630090, Novosibirsk, Russia

    Vitaly Morozov

Authors
  1. Alexander Vazhenin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Vitaly Morozov
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Victor Malyshkin

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Vazhenin, A., Morozov, V. (1995). Parallel iterative solution of systems of linear equations with dynamically changed length of operands. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 1995. Lecture Notes in Computer Science, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60222-4_119

Download citation

  • DOI: https://doi.org/10.1007/3-540-60222-4_119

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60222-4

  • Online ISBN: 978-3-540-44754-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation