Stability Analysis and Local Convergence of a New Fourth-Order Optimal Jarratt-Type Iterative Scheme

In this work, using the weight function technique, we introduce a new family of fourth-order iterative methods optimal in the sense of Kung and Traub for scalar equations, generalizing Jarratt’s method. Through Taylor series expansions, we confirm that all members of this family achieve fourth-order...

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Bibliographic Details
Main Authors: Eulalia Martínez, José A. Reyes, Alicia Cordero, Juan R. Torregrosa
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Computation
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Online Access:https://www.mdpi.com/2079-3197/13/6/142
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