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...
Main Author: | Stoil I. Ivanov |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2022-01-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/10/1/135 |
Similar Items
-
General Local Convergence Theorems about the Picard Iteration in Arbitrary Normed Fields with Applications to Super–Halley Method for Multiple Polynomial Zeros
by: Stoil I. Ivanov
Published: (2020-09-01) -
Chebyshev’s Method for Multiple Zeros of Analytic Functions: Convergence, Dynamics and Real-World Applications
by: Stoyanka G. Kostadinova, et al.
Published: (2024-09-01) -
General convergence of the methods from Chebyshev-Halley family
by: Raluca Anamaria Pomian
Published: (2008-02-01) -
General convergence of the methods from Chebyshev-Halley family
by: Raluca Anamaria Pomian
Published: (2008-02-01) -
On the Convergence of a New Family of Multi-Point Ehrlich-Type Iterative Methods for Polynomial Zeros
by: Petko D. Proinov, et al.
Published: (2021-07-01)