Memory in the iterative processes for nonlinear problems
- Alicia Cordero
, - Neus Garrido,
- Juan Ramon Torregrosa,
- Paula Triguero-Navarro
Alicia Cordero
Universidad Politécnica de Valencia
Corresponding Author:acordero@mat.upv.es
Author ProfileJuan Ramon Torregrosa
Universidad Politécnica de Valencia
Author ProfilePaula Triguero-Navarro
Universidad Politécnica de Valencia
Author ProfileAbstract
In this paper, we study different ways for introducing memory to a
parametric family of optimal two-step iterative methods. We study the
convergence and the stability, by means of real dynamics, of the methods
obtained by introducing memory in order to compare them. We also perform
several numerical experiments to see how the methods behave.15 Oct 2021Submitted to Mathematical Methods in the Applied Sciences 16 Oct 2021Submission Checks Completed
16 Oct 2021Assigned to Editor
25 Oct 2021Reviewer(s) Assigned
18 Feb 2022Review(s) Completed, Editorial Evaluation Pending
25 Feb 2022Editorial Decision: Revise Minor
28 Feb 20221st Revision Received
01 Mar 2022Submission Checks Completed
01 Mar 2022Assigned to Editor
14 Mar 2022Reviewer(s) Assigned
14 Jul 2022Review(s) Completed, Editorial Evaluation Pending
14 Jul 2022Editorial Decision: Accept
26 Sep 2022Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8746 
