• Corpus ID: 238856923

# A more direct and better variant of New Q-Newton's method Backtracking for m equations in m variables

@article{Truong2021AMD,
title={A more direct and better variant of New Q-Newton's method Backtracking for m equations in m variables},
author={Tuyen Trung Truong},
journal={ArXiv},
year={2021},
volume={abs/2110.07403}
}
• T. Truong
• Published 14 October 2021
• Computer Science, Mathematics
• ArXiv
In some (joint) recent papers, the authors have developed a new family of modifications of Newton’s method, for which Backtracking line search can be incorporated, for optimization. The new method, called New Q-Newton’s method (and its Backtracking version), has good theoretical guarantee (concerning convergence to critical points, avoidance of saddle points and rate of convergence). This method can be used to solve a system of equations g1 = . . . = gN = 0, by applying to the function f = g 1…

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