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Globally convergent inexact Newton methods. (English) Zbl 0814.65049
Inexact Newton methods are formulated that incorporate features designed to improve convergence from arbitrary starting points. For each method, a basic global convergence result is established to the effect that, under reasonable assumption, if a sequence of iterates has a limit point at which $$F'$$ is invertible, then that limit point is a solution and a sequence converges to it.

##### MSC:
 65H10 Numerical computation of solutions to systems of equations
##### Keywords:
inexact Newton methods; global convergence
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