## 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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