Geodesic
Bounds of the roots of the real polynomial
Applications of Mathematics, Tome 32 (1987) no. 1, pp. 9-15
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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.
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.
DOI : 10.21136/AM.1987.104231
Classification : 12D10, 26C10, 30C15, 65H05
Keywords: algorithm; lower bound of the absolute value of the zeros of a real polynomial 
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Komara, Imrich. Bounds of the roots of the real polynomial. Applications of Mathematics, Tome 32 (1987) no. 1, pp. 9-15. doi: 10.21136/AM.1987.104231

[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). | MR

[2] Anthony Ralston: A First Course in Numerical Analysis. Praha 1973. (Czech translation).

[3] Oldřich Slavíček, al.: The Basic Numerical Methods. (Czech) SNTL, Praha 1964.

[4] B. P. Demidowitch I. A. Maron: The Basics of the Numerical Mathematics. (Russian) FIZMATGIZ, Moscow 1963.

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