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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
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