Skip to main content
SpringerLink
Log in

An Improved Parallel Algorithm for Certain Toeplitz Cyclic Tridiagonal Systems on Distributed-Memory Multicomputer

  • Conference paper
Advanced Parallel Processing Technologies (APPT 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2834))

Included in the following conference series:

Abstract

Based on Luo’s parallel algorithm [4] for certain Toeplitz cyclic tridiagonal systems on distributed-memory multicomputer, we present an improved algorithm. Its communication mechanism is simple and redundant computing is small for solving massively systems. The numerical experiments show that the parallel efficiency of the improved algorithm is higher than Luo’s algorithm [4].

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Buckley, A.: On the solution of certain skew symmetric linear systems. SIAM Journal of Numerical Analysis 14, 566–570 (1977)

    Article  MATH  MathSciNet  Google Scholar 

  • Evans, D.J.: On the solution of certain Toeplitz tridiagonal linear systems. SIAM Journal of Numerical Analysis 17(5), 675–680 (1980)

    Article  MATH  Google Scholar 

  • Zhao, Z., Li, X.: Two parallel algorithms for tridiagonal Toeplitz systems. In: Proc China 1st National Conference on parallel algorithms in Science Computing, Beijing, pp. 125–130 (1989)

    Google Scholar 

  • Luo, Z., Li, X.: A parallel solver for certain cyclic tridiagonal Toeplitz systems on distributed-memory multicomputer. Journal of Computer Research and Development 38(2), 228–233 (2001)

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Equipment Command and Technology, Beijing, 101416, PRC

    Xuebo Zhang & Xiaomei Li

  2. National Laboratory for Parallel and Distributed Proccessing, Changsha, 410073, PRC

    Zhigang Luo & Xiaomei Li

Authors
  1. Xuebo Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhigang Luo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xiaomei Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. PDL, National University of Defense Technology, 410073, Changsha, China

    Xingming Zhou

  2. Department of Network Engineering, School of Computer Science, National University of Defense Technology, 410073, Changsha, China

    Ming Xu

  3. Fraunhofer FIRST, Kekuléstr. 7, D-12489, Berlin, Germany

    Stefan Jähnichen

  4. Department of Computing, Hong Kong Polytechnic University, Kowloon, Hong Kong, China

    Jiannong Cao

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, X., Luo, Z., Li, X. (2003). An Improved Parallel Algorithm for Certain Toeplitz Cyclic Tridiagonal Systems on Distributed-Memory Multicomputer. In: Zhou, X., Xu, M., Jähnichen, S., Cao, J. (eds) Advanced Parallel Processing Technologies. APPT 2003. Lecture Notes in Computer Science, vol 2834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39425-9_36

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-39425-9_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20054-3

  • Online ISBN: 978-3-540-39425-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation