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Komara, Imrich
Bounds of the roots of the real polynomial. (English). Aplikace matematiky, vol. 32 (1987), issue 1, pp. 9-15
MSC: 12D10, 26C10, 30C15, 65H05 | MR 0879325 | Zbl 0622.65033 | DOI: 10.21136/AM.1987.104231
Keywords:
algorithm; lower bound of the absolute value of the zeros of a real polynomial
Summary:
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.
References:
[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 0395208
[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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