A Newton method without evaluation of nonlinear function values
<|reference_start|>A Newton method without evaluation of nonlinear function values: 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.<|reference_end|>
@article{chen1999a,
    title={A Newton method without evaluation of nonlinear function values},
    author={W. Chen},
    journal={arXiv preprint arXiv:cs/9906011},
    year={1999},
    archivePrefix={arXiv},
    eprint={cs/9906011},
    primaryClass={cs.CE cs.NA math.NA}
}