TY - JOUR
T1 - A Family of High-Order Parallel Rootfinders for Polynomials
AU - Zheng , Shi-Ming
JO - Journal of Computational Mathematics
VL - 3
SP - 283
EP - 288
PY - 2000
DA - 2000/06
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9042.html
KW - Parallel iteration, zeros of polynomial,  order of convergence.
AB - <p style="text-align: justify;">In this paper we present a family of parallel iterations of order $m+2$ with parameter $m=0,1,...$ for simultaneous finding all zeros of a polynomial without evaluation of derivatives, which includes the well known Weierstrass-Durand-Dochev-Kerner and Börsch-Supan-Nourein iterations as the special cases for $m$=0 and $m$=1, respectively. Some numerical examples are given.&nbsp;&nbsp;</p>