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Interval operators of a function of which the Lipschitz matrix is an interval M-matrix

Intervalloperatoren einer Funktion, deren Lipschitzmatrix eine M-Intervallmatrixist

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Abstract

There are several interval iterations by applying interval operators which supply an interval sequence including all solutions of an equationf(x)=0 in a given intervalX 0 and which require the knowledge of an interval Lipschitz matrixL off. In this paper statements are made about existence and convergence in case thatL is an intervalM-matrix.

Zusammenfassung

Es gibt verschiedene Intervalliterationen unter Verwendung von Intervalloperatoren, welche eine Folge von Intervallen zur Einschließung aller Lösungen einer Gleichungf(x)=0 in einem gegebenen IntervallX 0 liefern und welche die Kenntnis einer Lipschitz-IntervallmatrixL vonf erfordern. In dieser Arbeit werden Existenz-und Konvergenzaussagen für den Fall gemacht, daßL eineM-Intervallmatrix ist.

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  1. Bohlweg 2, D-3392, Clausthal-Zellerfeld, Federal Republic of Germany

    R. Krawczyk

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  1. R. Krawczyk
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Krawczyk, R. Interval operators of a function of which the Lipschitz matrix is an interval M-matrix. Computing 31, 245–253 (1983). https://doi.org/10.1007/BF02263434

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  • DOI: https://doi.org/10.1007/BF02263434

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