Inexact Newton Methods

A classical algorithm for solving the system of nonlinear equations F(x) = 0 is Newton's method:$x_{k + 1} = x_k + s_k, \quad \text{where} F'(x_k)s_k = -F(x_k), x_0 \text{given}.$The method is attractive because it converges rapidly from any sufficiently good initial guess x0. However, sol...

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Bibliographische Detailangaben

Veröffentlicht in:	SIAM journal on numerical analysis 1982-04, Vol.19 (2), p.400-408
Hauptverfasser:	Dembo, Ron S., Eisenstat, Stanley C., Steihaug, Trond
Format:	Artikel
Sprache:	eng
Schlagworte:	Grants Initial guess Iterative methods Mathematical functions Mathematical sequences Methods Newton approximation methods Newtons method Nonlinear equations Norms Perceptron convergence procedure
Online-Zugang:	Volltext
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