Factorization of a polynomial into quadratic factors by Newton method

Dvorčuk, Josef. "Factorization of a polynomial into quadratic factors by Newton method." Aplikace matematiky 14.1 (1969): 54-80. <http://eudml.org/doc/14577>.

@article{Dvorčuk1969,
abstract = {In this paper the method for simultaneous finding of all the roots of a polynomial is derived. The method is based on the factorization of a polynomial into quadratic factors. The method is designed for the polynomial with real coefficients. It is derived by using the Newton method. The quadratic convergence of this method is proved for given good guesses of the roots and for the polynomial with distinct roots. Algorithm of the method is described in Algol 60.},
author = {Dvorčuk, Josef},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {eng},
number = {1},
pages = {54-80},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Factorization of a polynomial into quadratic factors by Newton method},
url = {http://eudml.org/doc/14577},
volume = {14},
year = {1969},
}

TY - JOUR
AU - Dvorčuk, Josef
TI - Factorization of a polynomial into quadratic factors by Newton method
JO - Aplikace matematiky
PY - 1969
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 14
IS - 1
SP - 54
EP - 80
AB - In this paper the method for simultaneous finding of all the roots of a polynomial is derived. The method is based on the factorization of a polynomial into quadratic factors. The method is designed for the polynomial with real coefficients. It is derived by using the Newton method. The quadratic convergence of this method is proved for given good guesses of the roots and for the polynomial with distinct roots. Algorithm of the method is described in Algol 60.
LA - eng
KW - numerical analysis
UR - http://eudml.org/doc/14577
ER -