Using Matrix Eigenvalues to Construct an Iterative Method with the Highest Possible Efficiency Index Two

Using Matrix Eigenvalues to Construct an Iterative Method with the Highest Possible Efficiency Index Two

In this paper, we first derive a family of iterative schemes with fourth order. A weight function is used to maintain its optimality. Then, we transform it into methods with several self-accelerating parameters to reach the highest possible convergence rate 8. For this aim, we employ the property of...

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Bibliographic Details
Main Authors: Malik Zaka Ullah, Vali Torkashvand, Stanford Shateyi, Mir Asma
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Mathematics
Subjects:
with-memory method
accelerator parameter
<i>R</i>-order convergence
eigenvalues
Online Access:https://www.mdpi.com/2227-7390/10/9/1370

Internet

https://www.mdpi.com/2227-7390/10/9/1370

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