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...

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Bibliographic Details

Published in:	Mathematics
Main Author:	Stoil I. Ivanov
Format:	Article
Language:	English
Published:	MDPI AG 2022-01-01
Subjects:	iteration methods Chebyshev–Halley family polynomial zeros multiple zeros local convergence error estimates
Online Access:	https://www.mdpi.com/2227-7390/10/1/135