On a Steffensen-Hermite type method for approximating the solutions of nonlinear equations

On a Steffensen-Hermite type method for approximating the solutions of nonlinear equations

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It is well known that the Steffensen and Aitken-Steffensen type methods are obtained from the chord method, using controlled nodes. The chord method is an interpolatory method, with two distinct nodes. Using this remark, the Steffensen and Aitken-Steffensen methods have been generalized using interp...

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Bibliographic Details
Main Author: Ion Păvăloiu
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2006-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
nonlinear equations in \({\mathbb R}\)
Steffensen and Aitken-Steffensen methods
inverse interpolatory polynomial of Hermite type
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/1015

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