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

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
Main Author: Stoil I. Ivanov
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Mathematics
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

Internet

https://www.mdpi.com/2227-7390/10/1/135

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