English

Iterative process of order 2 without inverting the derivative

Numerical Analysis 2021-05-13 v1 Numerical Analysis

Abstract

We prove the sufficient conditions for convergence of a certain iterative process of order 2 for solving nonlinear functional equations, which does not require inverting the derivative. We translate and detail our results for a system of nonlinear equations, and apply it for some numerical example which illustrates our theorems.

Keywords

Cite

@article{arxiv.2105.05740,
  title  = {Iterative process of order 2 without inverting the derivative},
  author = {Tamara Kogan and Luba Sapir and Amir Sapir and Eytan Sapir},
  journal= {arXiv preprint arXiv:2105.05740},
  year   = {2021}
}

Comments

11 papers, 5 appendix pages, 2 figures

R2 v1 2026-06-24T02:02:37.852Z