A Newton method without evaluation of nonlinear function values

Fuente: arXiv
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1. Verfasser: Chen, W.
Format: Preprint
Veröffentlicht: 1999
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_version_ 1866913508481826816
author Chen, W.
author_facet Chen, W.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_cs_9906011
institution arXiv
publishDate 1999
record_format arxiv
spellingShingle A Newton method without evaluation of nonlinear function values
Chen, W.
Computational Engineering, Finance, and Science
Numerical Analysis
G.1.3; G.1.5; G.1.2
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.
title A Newton method without evaluation of nonlinear function values
topic Computational Engineering, Finance, and Science
Numerical Analysis
G.1.3; G.1.5; G.1.2
url https://arxiv.org/abs/cs/9906011