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Erschienen in:
1993 | OriginalPaper | Buchkapitel
Two-Stage Interval Iterative Methods
verfasst von : A. Frommer, G. Mayer
Erschienen in: Validation Numerics
Verlag: Springer Vienna
Enthalten in: Professional Book Archive
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Two-Stage Interval Iterative Methods. We present an interval version of the well-known two-stage iterative methods to approximate solutions of linear systems of equations. By using interval arithmetical tools we are able to verify such solutions within interval bounds. The method can also guarantee the non-singularity of the underlying coefficient matrices of the systems. We prove criteria of convergence for the method and we report on an optimality result for the enclosure.