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Unified Convergence Analysis of Chebyshev–Halley Methods for Multiple Polynomial Zeros

In this paper, we establish two local convergence theorems that provide initial conditions and error estimates to guarantee the <i>Q</i>-convergence of an extended version of Chebyshev–Halley family of iterative methods for multiple polynomial zeros due to Osada (<i>J. Comput. Appl. Math.</i> 2008,...

Ausführliche Beschreibung

Gespeichert in:
1. Verfasser: Stoil I. Ivanov
Format: Artigo
Sprache:Inglês
Veröffentlicht: MDPI AG 2022-01-01
Schriftenreihe:Mathematics
Schlagworte:
iteration methods
Chebyshev–Halley family
polynomial zeros
multiple zeros
local convergence
error estimates
Online-Zugang:https://www.mdpi.com/2227-7390/10/1/135
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