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A remark about the convergence of interval sequences

Eine Bemerkung zur Konvergenz von Intervallfolgen

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Abstract

By some interval iterations the condition σ(r)<1 will be assumed for the convergence of the corresponding interval sequence by which σ denotes the spectral radius ofr, andr is a nonnegative Lipschitz matrix. In this paper the theorems are extended for the case σ (r)=1.

Zusammenfassung

Bei manchen Intervalliterationen wird zur Konvergenz einer entsprechenden Intervallfolge vorausgesetzt, daß σ(r)<1 ist, wobei σ den Spektralradius vonr bezeichnet undr eine nichtnegative Lipschitzmatrix ist. In dieser Arbeit werden die Aussagen auf den Fall σ(r)=1 erweitert.

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References

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Krawczyk, R. A remark about the convergence of interval sequences. Computing 31, 255–259 (1983). https://doi.org/10.1007/BF02263435

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  • DOI: https://doi.org/10.1007/BF02263435

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