Finding the roots of polynomial equations: an algorithm with linear command.

Bernard Beauzamy

Revista Matemática Complutense (2000)

  • Volume: 13, Issue: 2, page 305-323
  • ISSN: 1139-1138

Abstract

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We show how an old principle, due to Walsh (1922), can be used in order to construct an algorithm which finds the roots of polynomials with complex coefficients. This algorithm uses a linear command. From the very first step, the zero is located inside a disk, so several zeros can be searched at the same time.

How to cite

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Beauzamy, Bernard. "Finding the roots of polynomial equations: an algorithm with linear command.." Revista Matemática Complutense 13.2 (2000): 305-323. <http://eudml.org/doc/44480>.

@article{Beauzamy2000,
abstract = {We show how an old principle, due to Walsh (1922), can be used in order to construct an algorithm which finds the roots of polynomials with complex coefficients. This algorithm uses a linear command. From the very first step, the zero is located inside a disk, so several zeros can be searched at the same time.},
author = {Beauzamy, Bernard},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones polinómicas; Algoritmos numéricos; algorithm; roots of polynomials; linear command},
language = {eng},
number = {2},
pages = {305-323},
title = {Finding the roots of polynomial equations: an algorithm with linear command.},
url = {http://eudml.org/doc/44480},
volume = {13},
year = {2000},
}

TY - JOUR
AU - Beauzamy, Bernard
TI - Finding the roots of polynomial equations: an algorithm with linear command.
JO - Revista Matemática Complutense
PY - 2000
VL - 13
IS - 2
SP - 305
EP - 323
AB - We show how an old principle, due to Walsh (1922), can be used in order to construct an algorithm which finds the roots of polynomials with complex coefficients. This algorithm uses a linear command. From the very first step, the zero is located inside a disk, so several zeros can be searched at the same time.
LA - eng
KW - Ecuaciones polinómicas; Algoritmos numéricos; algorithm; roots of polynomials; linear command
UR - http://eudml.org/doc/44480
ER -

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