On the Q-Convergence and Dynamics of a Modified Weierstrass Method for the Simultaneous Extraction of Polynomial Zeros

On the Q-Convergence and Dynamics of a Modified Weierstrass Method for the Simultaneous Extraction of Polynomial Zeros

In the present paper, we prove a new local convergence theorem with initial conditions and error estimates that ensure the Q-quadratic convergence of a modification of the famous Weierstrass method. Afterward, we prove a semilocal convergence theorem that is of great practical importance owing to it...

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Bibliographic Details
Main Authors: Plamena I. Marcheva, Ivan K. Ivanov, Stoil I. Ivanov
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Algorithms
Subjects:
iteration methods
polynomial zeros
simultaneous methods
modified Weierstrass method
local convergence
semilocal convergence
Online Access:https://www.mdpi.com/1999-4893/18/4/205
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