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Zbl 0833.65045
Martínez, José Mario; Qi, Liqun
Inexact Newton methods for solving nonsmooth equations. (English)
[J] J. Comput. Appl. Math. 60, No.1-2, 127-145 (1995). ISSN 0377-0427

The authors investigate three types of inexact Newton methods. They prove local convergence for two stopping criteria provided that the nonlinear system is semismooth and BD regular. They also define an iteration function based inexact Newton method and prove its global convergence. Implementation details and numerical experiments are also discussed.
[A.Galántai (Miskolc-Egyetemvaros)]

MSC 2000:: *65H10 Systems of nonlinear equations (numerical methods)

Keywords: inexact Newton methods; local convergence; stopping criteria; iteration function; global convergence; numerical experiments

Cited in: Zbl 1214.65024 Zbl 1028.90063 Zbl 0932.65072

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