Skip to main content

Parallelization of Characteristic Series

  • Conference paper
  • First Online:
  • 1408 Accesses

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 237))

Abstract

The algorithm of computing characteristic series is the core of Wu elimination method and its computation is very huge, so the common serial program usually cannot meet the speed requirement. To solve this problem, parallel computing is introduced. In this paper, the algorithm of computing characteristic sets is analyzed, firstly, and then the parallelization of computing characteristic series, which is implemented with distributed computing environment in Maple, is given. The experimental results verify the performance and the acceleration effect of the parallel algorithm.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   329.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

References

  1. Shi H (1988) Introduction to mechanized mathematics[M]. Hunan Education Press, Changsha, pp 5–46 (in Chinese)

    Google Scholar 

  2. Wu TJ (2007) On applications of Wu’s method in bilevel-programming problems[J]. Acta Math Sci 27A(1):176–183

    Google Scholar 

  3. Lü SZ, Zhang DW, Liu HN (2010) Solution of screw equation for inverse kinematics of 6R Robot based on Wu’s method[J]. J Mech Eng 46(17):35–41 (in Chinese)

    Article  Google Scholar 

  4. Chai F, Gao XS, Yuan C (2008) A characteristic set method for solving Boolean equations and applications in cryptanalysis of stream ciphers[J]. J Syst Sci Complex 21(2):191–208 (in Chinese)

    Article  MathSciNet  MATH  Google Scholar 

  5. Ajwa I, Wang P (1997) Applying parallel/distributed computing to advanced algebraic computations. In: Proceeding of the 1997 I.E. national aerospace and electronics conference, IEEE Press, Washington, pp 156–164

    Google Scholar 

  6. Wang DM (1991) On the parallelization of characteristic-set-based algorithms. In: Proceedings of the 1st international conference ACPC, Salzburg, pp 338–349

    Google Scholar 

  7. Wu YW, Yang GW, Yang H, Zheng WM, Lin DD (2005) A distributed computing model for Wu’s method[J]. J Softw 16(3):384–391 (in Chinese)

    Google Scholar 

  8. Lin DD, Liu J, Liu ZJ (1998) Mathematical research software: ELIMINO. In: Li ZB (ed) Proceeding of theACM’98, Lanzhou University Press, Lanzhou, pp 107–114

    Google Scholar 

  9. Li HB, Wu SP, Liu R, Yang J (2012) Improved parallel algorithm of solving characteristic sets[J]. Comput Simul 29(11):189–193 (in Chinese)

    Google Scholar 

  10. Wang DK (1993) A maple package for solving system of polynomial equations[M]. Math- Mech Res Prepr 10:11–14 (in Chinese)

    Google Scholar 

  11. Maplesoft Online Help (2011) http://www.maplesoft.com/support/help

Download references

Acknowledgements

This paper is funded by the National Natural Science Foundation of China (No. 60963004), and National Xinghuo project of China (No. 2011GA880001). We would like to express our sincere gratitude to the National Natural Science Foundation of China and National Xinghuo project of China for the financial support.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Suping Wu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Liu, J., Wu, S., Li, H., Yao, X., Du, F. (2014). Parallelization of Characteristic Series. In: Wang, W. (eds) Mechatronics and Automatic Control Systems. Lecture Notes in Electrical Engineering, vol 237. Springer, Cham. https://doi.org/10.1007/978-3-319-01273-5_40

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-01273-5_40

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01272-8

  • Online ISBN: 978-3-319-01273-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics