A New Class of Iterative Processes for Solving Nonlinear Systems by Using One Divided Differences Operator

A New Class of Iterative Processes for Solving Nonlinear Systems by Using One Divided Differences Operator

In this manuscript, a new family of Jacobian-free iterative methods for solving nonlinear systems is presented. The fourth-order convergence for all the elements of the class is established, proving, in addition, that one element of this family has order five. The proposed methods have four steps an...

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Bibliographic Details
Main Authors: Alicia Cordero, Cristina Jordán, Esther Sanabria, Juan R. Torregrosa
Format: Article
Language:English
Published: MDPI AG 2019-08-01
Series:Mathematics
Subjects:
nonlinear systems
multipoint iterative methods
divided difference operator
order of convergence
Newton’s method
computational efficiency index
Online Access:https://www.mdpi.com/2227-7390/7/9/776

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