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- W2170051184 abstract "Das bekannte Intervall-Newton-Verfahren wird so modifiziert, daß das Minimum einer streng konvexen Funktion über einem Intervall aus I(R) eingeschlossen wird. Dabei werden auch eingangsbedingte Fehler berücksichtigt. Mit Hilfe dieses Verfahrens wird ein Algorithmus angegeben, der die gleiche Optimierungsaufgabe löst, wobei die Zielfunktion nicht konvex zu sein braucht. Weiterhin wird mit dem angegebenen Verfahren das mehrdimensionale Problem der Minimierung einer streng konvexen Funktion über einem Quader gelöst. The well known interval Newton method is modified so that error bounds can be found for the minimum of a strictly convex function over an interval, which is element of I(R). In this problem we have to consider data errors. With the help of this method an algorithm is developed, with solves the same problem with a nonconvex function. Furthermore the method can be extended to the multidimensional problem with a strictly convex function and a given interval vector." @default.
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- W2170051184 date "2008-04-16" @default.
- W2170051184 modified "2023-10-16" @default.
- W2170051184 title "Optimierung mit Hilfe des Intervall-Newton-Verfahrens" @default.
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- W2170051184 doi "https://doi.org/10.1002/zamm.19810610607" @default.
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