Annegret Hoy

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A Gauss-Newton-like method for solving singular nonlinear equations is presented. The local convergence analysis shows that this method converges quadratically. The algorithm requires second derivative information in the formF″ ab only, which makes it attractive from the viewpoint of computational effort. Ein Gauß-Newton-ähnliches Verfahren zur Lösung(More)
The Gauss-Newton step belonging to an appropriately chosen bordered nonlinear system is analyzed. It is proved that the Gauss-Newton step calculated after a sequence of Newton steps is equal to the doubled Newton step within the accuracy ofO(‖x−x *‖2). The theoretical insight given by the proof can be exploited to derive a Gauss-Newton-like algorithm for(More)
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