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Three-step iterative weight function scheme with memory for solving nonlinear problems
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  • Alicia Cordero,
  • Neus Garrido,
  • Juan Ramon Torregrosa,
  • Paula Triguero-Navarro
Alicia Cordero
Universitat Politecnica de Valencia

Corresponding Author:acordero@mat.upv.es

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Neus Garrido
Universidad Internacional de La Rioja
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Juan Ramon Torregrosa
Universitat Politecnica de Valencia
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Paula Triguero-Navarro
Universitat Politecnica de Valencia
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Abstract

In this manuscript,we present a parametric family of derivative-free 3-steps iterative methods with a weight function for solving nonlinear equations. We study various ways of introducing memory to this parametric family in order to increase the order of convergence without new functional evaluations. We also performed numerical experiments to compare the iterative methods fromdifferent points of view.
29 Mar 2022Submitted to Mathematical Methods in the Applied Sciences
30 Mar 2022Submission Checks Completed
30 Mar 2022Assigned to Editor
05 Apr 2022Reviewer(s) Assigned
16 Jan 2023Review(s) Completed, Editorial Evaluation Pending
19 Jan 2023Editorial Decision: Revise Minor
24 Jan 20231st Revision Received
25 Jan 2023Submission Checks Completed
25 Jan 2023Assigned to Editor
25 Jan 2023Review(s) Completed, Editorial Evaluation Pending
25 Jan 2023Reviewer(s) Assigned
22 Feb 2023Editorial Decision: Revise Minor
24 Feb 20232nd Revision Received
25 Feb 2023Submission Checks Completed
25 Feb 2023Assigned to Editor
25 Feb 2023Review(s) Completed, Editorial Evaluation Pending
28 Apr 2023Reviewer(s) Assigned
12 May 2023Editorial Decision: Revise Minor
12 May 20233rd Revision Received
14 May 2023Submission Checks Completed
14 May 2023Assigned to Editor
14 May 2023Review(s) Completed, Editorial Evaluation Pending
24 May 2023Reviewer(s) Assigned
19 Jun 2023Editorial Decision: Accept