On finding the largest root of a polynomial

J. H. Davenport; M. Mignotte

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1990)

  • Volume: 24, Issue: 6, page 693-696
  • ISSN: 0764-583X

How to cite

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Davenport, J. H., and Mignotte, M.. "On finding the largest root of a polynomial." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 24.6 (1990): 693-696. <http://eudml.org/doc/193611>.

@article{Davenport1990,
author = {Davenport, J. H., Mignotte, M.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {largest root of a polynomial; Graeffe's method; close bounds for the absolute value},
language = {eng},
number = {6},
pages = {693-696},
publisher = {Dunod},
title = {On finding the largest root of a polynomial},
url = {http://eudml.org/doc/193611},
volume = {24},
year = {1990},
}

TY - JOUR
AU - Davenport, J. H.
AU - Mignotte, M.
TI - On finding the largest root of a polynomial
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1990
PB - Dunod
VL - 24
IS - 6
SP - 693
EP - 696
LA - eng
KW - largest root of a polynomial; Graeffe's method; close bounds for the absolute value
UR - http://eudml.org/doc/193611
ER -

References

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  1. [1] A. L. CAUCHY, Exercices de Mathématiques. Quatrième année, De Bure Frères,Paris, 1829. Oeuvres Ser. II, Vol. IX, Gauthier-Villars, Paris, 1891. 
  2. [2] L. CERLIENCO, M. MIGNOTTE and F. PIRAS, Computing the measure of a polynomial. J. Symbolic Comp., vol. 4, 1987, pp. 21-33. Zbl0629.12002MR908409
  3. [3] J. DIEUDONNÉ, Calcul Infinitésimal Hermann, Paris, 1968. Zbl0155.10001MR226971
  4. [4] P. HENRICI, Applied and Computational Complex Analysis. Vol. 1, John Wiley & Sons, New York, 1974. Zbl0313.30001MR372162
  5. [5] D. KNUTH, The Art of Programming. Vol. 2, Addison-Wesley, New York, 1969. Zbl0191.18001
  6. [6] P. J. WEINBERGER, L. P. ROTHSCHILD, Factoring Polynomials over algebraic number fields. A.C.M. Trans. Math. Software 2, 1976, pp. 335-350. Zbl0352.12003MR450225

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