Keywords
- Circular Region
- Interval Arithmetic
- Latin Letter
- Convergent Algorithm
- Polynomial Zero
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
I. Gargantini and P. Henrici: Circular arithmetic and the determination of polynomial zeros. Submitted for publication.
P. Henrici: Uniformly convergent algorithms for the simultaneous determination of all zeros of a polynomial. Studies in Numerical Analysis 2, 1–8 (1968).
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.
E. Laguerre: Sur la résolution des équations numériques. Nouvelles Annales des Mathématiques, sér. 2, 17 (1878).
R. E. Moore: Interval Analysis. Prentice Hall, Englewood Cliffs 1966.
K. Nickel: Ueber die Notwendigkeit einer Fehlerschrankenarithmetik bei Rechenautomaten. Numer. Math. 9, 69–79 (1966).
J. Rokne and P. Lancaster: Complex Interval Arithmetic. Comm. Assoc. Comp. Mach. 14, 111–112 (1971).
A. M. Ostrowski: Solution of Equations and Systems of Equations, 2nd ed. Academic Press, New York 1966.
Editor information
Editors and Affiliations
Rights 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
