Skip to main content
SpringerLink
Log in

Matrix inversion algorithm for linear array processor

  • Conference paper
  • First Online:
Parallel Processing: CONPAR 92—VAPP V (VAPP 1992, CONPAR 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 634))

  • 104 Accesses

Abstract

The paper presents parallel algorithm for computing the inversion of a dense matrix based on Gauss-Jordan elimination. The algorithm is proposed for the implementation on the linear array at a processor level which operate in a pipeline fashion. Two types of architectures are considered. One which uses serial data transfer (AP/S) and another which uses parallel data transfer (AP/P) between neighboring processors. The speed up of AP/S and AP/P are O(n/2) and O(4n/5), respectively.

This work was supported by the Serbian Sciense Council.

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. L.G. Aleksandrov and H.N. Djidjev, Solving systems of linear equations on a systolic processor, Technical Report, Center of Informatics And Computer Technology, BAN-Sofia, 1–8 (1989).

    Google Scholar 

  2. A. El-Amawy, A Systolic Architecture for Fast Dense Matrix Inversion, I.E.E.E. Transactions on Computers 38, 449–455 (1989).

    Google Scholar 

  3. A. El-Amawy and K.R. Dharmarajan, Parallel VLSI algorithm for stable inversion of dense matrices, IEE Proc.,Pt E. 136, 575–580 (1989).

    Google Scholar 

  4. L. Geus, W. Henning, M. Vajteri and J. Volkert, Matrix inversion algorithms for a pyramidal multiprocessor system, Computers and Artificial Intelligence 7, 65–79 (1988).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Electronic Engineering, University of Niš, P.O. Box 73, 18000, Niš, Yugoslavia

    E. I. Milovanović, I. Ž. Milovanović & M. K. Stojčev

Authors
  1. E. I. Milovanović
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. Ž. Milovanović
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. K. Stojčev
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Luc Bougé Michel Cosnard Yves Robert Denis Trystram

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Milovanović, E.I., Milovanović, I.Ž., Stojčev, M.K. (1992). Matrix inversion algorithm for linear array processor. In: Bougé, L., Cosnard, M., Robert, Y., Trystram, D. (eds) Parallel Processing: CONPAR 92—VAPP V. VAPP CONPAR 1992 1992. Lecture Notes in Computer Science, vol 634. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55895-0_432

Download citation

  • DOI: https://doi.org/10.1007/3-540-55895-0_432

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55895-8

  • Online ISBN: 978-3-540-47306-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation