Distance entre les racines d'un polynôme

M. Mignotte; M. Payafar

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1979)

  • Volume: 13, Issue: 2, page 181-192
  • ISSN: 0764-583X

How to cite

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Mignotte, M., and Payafar, M.. "Distance entre les racines d'un polynôme." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 13.2 (1979): 181-192. <http://eudml.org/doc/193339>.

@article{Mignotte1979,
author = {Mignotte, M., Payafar, M.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Roots of Polynomials; Separation of Roots; Integer Coefficients},
language = {fre},
number = {2},
pages = {181-192},
publisher = {Dunod},
title = {Distance entre les racines d'un polynôme},
url = {http://eudml.org/doc/193339},
volume = {13},
year = {1979},
}

TY - JOUR
AU - Mignotte, M.
AU - Payafar, M.
TI - Distance entre les racines d'un polynôme
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1979
PB - Dunod
VL - 13
IS - 2
SP - 181
EP - 192
LA - fre
KW - Roots of Polynomials; Separation of Roots; Integer Coefficients
UR - http://eudml.org/doc/193339
ER -

References

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  1. 1. G.E. COLLINS and E. HOROWITZ, The Minimum Root Séparation of a Polynomial, Math Comp., vol.28, n°126, 1974, p. 589-597 Zbl0278.65049MR345940
  2. 2. G E COLLINS and R. Loos, Polynomial Real Root Isolation by Differentiation, Proceedings of the 1976 A.C.M. Symposium on Symbohc and Algebraïc Compilation, R D. JENKS, éd., p 15-25. Zbl0454.65036
  3. 3 R. GUTING, Polynomials with Multiple Zeroes, Mathematika, vol 14, 1967, p. 181-196. Zbl0173.05101MR223544
  4. 4. W. LAWTON, Heights of Algebraic Numbers and Szego's Theorem, Proc American Math. Soc, vol. 49, 1975, p. 47-50 Zbl0306.12002MR376628
  5. 5 M. MIGNOTTE, Sur la complexité de certains algorithmes ou intervient la séparation des racines d'un polynôme, R A.I.R.O Informatique théorique, vol 10, 1976, p 51-55. MR660696

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