Bounds of the roots of the real polynomial

Imrich Komara

Aplikace matematiky (1987)

  • Volume: 32, Issue: 1, page 9-15
  • ISSN: 0862-7940

Abstract

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An algorithm for the calculation of a lower bound of the absolute values of the roots of a real algebraic polynomial, of an arbitrary degree, is derived. An example is given to compare the bounds calculated by the method proposed and by other methods.

How to cite

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Komara, Imrich. "Bounds of the roots of the real polynomial." Aplikace matematiky 32.1 (1987): 9-15. <http://eudml.org/doc/15475>.

@article{Komara1987,
abstract = {An algorithm for the calculation of a lower bound of the absolute values of the roots of a real algebraic polynomial, of an arbitrary degree, is derived. An example is given to compare the bounds calculated by the method proposed and by other methods.},
author = {Komara, Imrich},
journal = {Aplikace matematiky},
keywords = {algorithm; lower bound of the absolute value of the zeros of a real polynomial; algorithm; lower bound of the absolute value of the zeros of a real polynomial},
language = {eng},
number = {1},
pages = {9-15},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Bounds of the roots of the real polynomial},
url = {http://eudml.org/doc/15475},
volume = {32},
year = {1987},
}

TY - JOUR
AU - Komara, Imrich
TI - Bounds of the roots of the real polynomial
JO - Aplikace matematiky
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 1
SP - 9
EP - 15
AB - An algorithm for the calculation of a lower bound of the absolute values of the roots of a real algebraic polynomial, of an arbitrary degree, is derived. An example is given to compare the bounds calculated by the method proposed and by other methods.
LA - eng
KW - algorithm; lower bound of the absolute value of the zeros of a real polynomial; algorithm; lower bound of the absolute value of the zeros of a real polynomial
UR - http://eudml.org/doc/15475
ER -

References

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  1. Imrich Komara, Two notes about an algebraic equation of the n-th order, IV. scientific conference. VŠD Žilina 1973, Section I, pp. 121-125. (In Slovak). (1973) MR0395208
  2. Anthony Ralston, A First Course in Numerical Analysis, Praha 1973. (Czech translation). (1973) Zbl0273.41011
  3. Oldřich Slavíček, al., The Basic Numerical Methods, (Czech) SNTL, Praha 1964. (1964) 
  4. B. P. Demidowitch I. A. Maron, The Basics of the Numerical Mathematics, (Russian) FIZMATGIZ, Moscow 1963. (1963) 

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