Skip to main content

Circular arithmetic and the determination of polynomial zeros

  • Invited Papers
  • Conference paper
  • First Online:
Conference on Applications of Numerical Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 228))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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

  1. I. Gargantini and P. Henrici: Circular arithmetic and the determination of polynomial zeros. Submitted for publication.

    Google Scholar 

  2. P. Henrici: Uniformly convergent algorithms for the simultaneous determination of all zeros of a polynomial. Studies in Numerical Analysis 2, 1–8 (1968).

    MathSciNet  Google Scholar 

  3. P. Henrici and I. Gargantini: Uniformly convergent algorithms for the simultaneous approximation of all zeros of a polynomial. Proc. Symp. on Constructive Aspects of the Fundamental Theorem of Algebra (B. Dejon and P. Henrici, eds.), Wiley-Interscience, London 1969, pp. 77–114.

    Google Scholar 

  4. E. Laguerre: Sur la résolution des équations numériques. Nouvelles Annales des Mathématiques, sér. 2, 17 (1878).

    Google Scholar 

  5. R. E. Moore: Interval Analysis. Prentice Hall, Englewood Cliffs 1966.

    Google Scholar 

  6. K. Nickel: Ueber die Notwendigkeit einer Fehlerschrankenarithmetik bei Rechenautomaten. Numer. Math. 9, 69–79 (1966).

    Article  MathSciNet  MATH  Google Scholar 

  7. J. Rokne and P. Lancaster: Complex Interval Arithmetic. Comm. Assoc. Comp. Mach. 14, 111–112 (1971).

    MATH  Google Scholar 

  8. A. M. Ostrowski: Solution of Equations and Systems of Equations, 2nd ed. Academic Press, New York 1966.

    MATH  Google Scholar 

Download references

Authors

Editor information

John Ll. Morris

Rights and permissions

Reprints and permissions

Copyright information

© 1971 Springer-Verlag

About this paper

Cite this paper

Henrici, P. (1971). Circular arithmetic and the determination of polynomial zeros. In: Morris, J.L. (eds) Conference on Applications of Numerical Analysis. Lecture Notes in Mathematics, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069450

Download citation

  • DOI: https://doi.org/10.1007/BFb0069450

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05656-0

  • Online ISBN: 978-3-540-36976-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics