Convergence Analysis of a Modified Weierstrass Method for the Simultaneous Determination of Polynomial Zeros
Year: 2020
Type: article
Abstract: In 2016, Nedzhibov constructed a modification of the Weierstrass method for simultaneous computation of polynomial zeros. In this work, we obtain local and semilocal convergence theorems that improve and complement the previous results about this method. The semilocal result is of significant practical importance because of its computationally verifiable initial condition and error estimate. Numerical experiments to show the applicability of our semilocal theorem are also presented. We finish this study with a theoretical and numerical comparison between the modified Weierstrass method and the classical Weierstrass method.
Source: Symmetry
DOI: 10.3390/sym12091408
Authors: Plamena I. Marcheva, Stoil I. Ivanov
Institution: Plovdiv University
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,479
OpenAlex ID: W3080177293