Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0923.65028
Wang, Xinghua
Convergence of Newton's method and inverse function theorem in Banach space. (English)
[J] Math. Comput. 68, No.225, 169-186 (1999). ISSN 0025-5718; ISSN 1088-6842/e

The author studies the convergence of the Newton's method under some Lipschitz-type conditions and gives exact estimates for the radius of the ball in the inverse function theorem. The best possible a priori and a posteriori error bounds are also obtained. Improvements of convergence theorems under Kantorovich and respectively Smale type assumptions are obtained as particular cases of the main results in this paper.
[V.Berinde (Baia Mare)]

MSC 2000:: *65J15 Equations with nonlinear operators (numerical methods)
47J25 Methods for solving nonlinear operator equations (general)

Keywords: operator equation; Banach space; Newton method; inverse function theorem; Lipschitz type conditions; error bounds; convergence

Cited in: Zbl 1176.65058 Zbl 1153.90012

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]