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A Newton method without evaluation of nonlinear function values

Computational Engineering, Finance, and Science 2024-09-21 v1 Numerical Analysis Numerical Analysis

Abstract

The present author recently proposed and proved a relationship theorem between nonlinear polynomial equations and the corresponding Jacobian matrix. By using this theorem, this paper derives a Newton iterative formula without requiring the evaluation of nonlinear function values in the solution of nonlinear polynomial-only problems.

Cite

@article{arxiv.cs/9906011,
  title  = {A Newton method without evaluation of nonlinear function values},
  author = {W. Chen},
  journal= {arXiv preprint arXiv:cs/9906011},
  year   = {2024}
}

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