Bilateral approximations for some Aitken–Steffensen–Hermite type methods of order three

Author:

Păvăloiu I.,Cătinaş E.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference18 articles.

1. On a Steffensen’s type method and its behavior for semismooth equations;Amat;Appl. Math. Comput.,2006

2. A two-step Steffensen’s method under modified convergence conditions;Amat;J. Math. Anal. Appl.,2006

3. A class of quasi-Newton generalized Steffensen methods on Banach spaces;Amat;J. Comput. Appl. Math.,2002

4. A new convergence theorem for the Steffensen method in Banach space and applications;Argyros;Rev. Anal. Numér. Théor. Approx.,2000

5. On some Steffensen-type iterative methods for a class of nonlinear equations;Cătinaş;Rev. Anal. Numér. Théor. Approx.,1995

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1. A New Optimal Method of Order Four of Hermite–Steffensen Type;Mediterranean Journal of Mathematics;2022-05-19

2. Accelerating the convergence of Newton-type iterations;Journal of Numerical Analysis and Approximation Theory;2017-10-13

3. On a robust Aitken–Newton method based on the Hermite polynomial;Applied Mathematics and Computation;2016-09

4. Two-sided approximation for some Newton’s type methods;Applied Mathematics and Computation;2014-06

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