On searching for roots of a polynomial in a circular annulus

Ph. Saux Picart

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1993)

  • Volume: 27, Issue: 2, page 163-172
  • ISSN: 0988-3754

How to cite

top

Saux Picart, Ph.. "On searching for roots of a polynomial in a circular annulus." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 27.2 (1993): 163-172. <http://eudml.org/doc/92444>.

@article{SauxPicart1993,
author = {Saux Picart, Ph.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
language = {eng},
number = {2},
pages = {163-172},
publisher = {EDP-Sciences},
title = {On searching for roots of a polynomial in a circular annulus},
url = {http://eudml.org/doc/92444},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Saux Picart, Ph.
TI - On searching for roots of a polynomial in a circular annulus
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1993
PB - EDP-Sciences
VL - 27
IS - 2
SP - 163
EP - 172
LA - eng
UR - http://eudml.org/doc/92444
ER -

References

top
  1. [BA] E. BAREISS, Resultant procedure and the mechanization of the Graeffe process. J. Assoc. Comp. Mach., 7, 1960, pp. 346-386. Zbl0109.08904MR119416
  2. [CO] G. E. COLLINS, Infallible calculation of polynomial zeroes to specified precision, Mathematical software III, New York, Academic Press, 1977. Zbl0407.68029MR474768
  3. [DM] J. H. DAVENPORT and M. MIGNOTTE, On finding the largest root of a polynomial, R.A.I.R.O., M.2A.N., 1990. Zbl0715.65033MR1080714
  4. [HE] P. HENRICI, Applied and Computational Complex Analysis, Vol. 1, New York, Wiley & Sons, 1974. Zbl0313.30001MR372162
  5. [KN] D. KNUTH, The Art of Computer Programming, Vol. 2, Addison-Wesley, New York, 1979. MR633878
  6. [MA] M. MARDEN, Geometry of polynomials, Amer. Math. Soc, Providence, Rhode Island, 1966. Zbl0162.37101
  7. [LE] D. H. LEHMER, The complete root squaring method, J. SIAM, 11, 1963, pp. 705-717. Zbl0123.11004MR157481
  8. [LO] R. LOOS, Generalized Polynomial Remainder Sequences in Computer Algebra, Vienne, Springer-Verlag, 1983. MR728969
  9. [PE] M. PETKOVIK, Iterative Methods for Simultaneous Inclusion of Polynomial Zeros, Lecture Notes in Mathematics, Berlin, Springer-Verlag, 1987. Zbl0689.65028MR1013787
  10. [SP] Ph. SAUX PICART, Thèse d'Université, Séparation des modules et des arguments des zéros d'un polynôme, Université de Strasbourg, 1991. MR1180077

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.