A Newton method without evaluation of nonlinear function values

Details A Newton method without evaluation of nonlinear function values A Newton method without evaluation of nonlinear function values

1999-06-09

arxiv.org/abs/cs/9906011v1

Computer Science

Computational Engineering, Finance, and Science

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Scientific paper

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.

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