Skip to main content
SpringerLink
Log in

Experiments with a projection operator for algebraic decomposition

  • Gröbner Bases
  • Conference paper
  • First Online:
Symbolic and Algebraic Computation (ISSAC 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 358))

Included in the following conference series:

  • 158 Accesses

Research supported by the Swedish Board for Technological Development.

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. Arnborg S., Feng, H.: Algebraic decomposition of regular curves. J. Symb. Comp. 5 (1988) 131–140.

    Google Scholar 

  2. Arnon, D.S., Collins, G.E. and McCallum,S.: Cylindrical algebraic decomposition, SIAM J. Comp., 13, 865–877, 878–889.

    Google Scholar 

  3. Arnon, D.S. and Mignotte, M.: On mechanical quantifier elimination for elementary algebra and geometry, J. Symb. Comp. 5 (1988) 237–260.

    Google Scholar 

  4. Buchberger, B. (1985). Gröbner-bases: An algorithmic method in polynomial ideal theory. Multidimensional Systems Theory (Ed. N.K. Bose). D. Reidel Publishing Company 1985, 184–232.

    Google Scholar 

  5. Canny, J.: A new algebraic method for robot motion planning and real gemoetry. IEEE Fo CS 1987, 39–48.

    Google Scholar 

  6. Canny, J.: Some algebraic and geometric computations in PSPACE, ACM SToC 1988 460–467.

    Google Scholar 

  7. Davenport, J. H.: A ”Piano Mover's” Problem, SIGSAM Bulletin 20 (1986) 15–17.

    Google Scholar 

  8. Davenport, J. H.: Looking at a set of equations, Bath CS Tech. Report 87–06

    Google Scholar 

  9. Davenport, J.H., Siret, Y. and Tournier, E.: Computer Algebra, Academic Press, 1988.

    Google Scholar 

  10. Grigorev D.Yu. and Vorobjov, N.N.: Solving systems of polynomial equations in subexponential time. J. Symb. Comp. 5 (1988) 37–64.

    Google Scholar 

  11. Lazard, D.: Quantifier elimination: Optimal solution for two classical examples, J. Symb. Comp. 5 (1988) 261–266.

    Google Scholar 

  12. McCallum, S.: An improved projection operation for cylindrical algebraic decomposition of three-dimensional space. J: Symb. Comp. 5 (1988) 141–162

    Google Scholar 

  13. McCallum, S.: Solving polynomial inequalities using cylindrical algebraic decomposition. RISC-LINZ Series no. 87-25.0

    Google Scholar 

  14. Morse, M.: The critical points of a function of n variables, Trans. AMS, Jan 1931, 72–91

    Google Scholar 

  15. Seidenberg: A new decision method for elementary algebra. Annals of Mathematics 60 (1954), 365–374.

    Google Scholar 

  16. Whitney, H.: Elementary structure of real algebraic varietes. Annals of Mathematics 66 (1957) 545–556.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Numerical Analysis and Computing Science, The Royal Institute of Technology, S-100 44, Stockholm, Sweden

    Stefan Arnborg

Authors
  1. Stefan Arnborg
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

P. Gianni

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Arnborg, S. (1989). Experiments with a projection operator for algebraic decomposition. In: Gianni, P. (eds) Symbolic and Algebraic Computation. ISSAC 1988. Lecture Notes in Computer Science, vol 358. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51084-2_16

Download citation

  • DOI: https://doi.org/10.1007/3-540-51084-2_16

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51084-0

  • Online ISBN: 978-3-540-46153-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation