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Zbl 0653.65044
Moret, Igor
A Kantorovich-type theorem for inexact Newton methods. (English)
[J] Numer. Funct. Anal. Optimization 10, No.3-4, 351-365 (1989). ISSN 0163-0563; ISSN 1532-2467/e

The author proves a general semilocal convergence theorem for the so- called inexact Newton methods, under Kantorovich-type assumptions. To do this suitable ``majorizing sequences'' are used. The results are applied to various situations considered in the literature.
[I.Moret]
MSC 2000:
*65J15 Equations with nonlinear operators (numerical methods)
47J25 Methods for solving nonlinear operator equations (general)

Keywords: Kantorovich-type theorem; semilocal convergence theorem; inexact Newton methods; majorizing sequences

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