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On the R-order of some recurrences with applications to inclusion-methods II

Über die R-Ordnung einiger Rekursionsfolgen bei Einschließungsverfahren II

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Abstract

In this note we are considering a class of recurrences which is a generalization of those in [3]. Estimates for theirR-order are derived and the results are then applied to a family of higher-order interval methods for the inclusion of the inverse of a matrix. An efficient algorithm is determined.

Zusammenfassung

Wir betrachten hier eine Klasse von Rekursionsfolgen, die eine Verallgemeinerung von den in [3] behandelten ist. Dazu werden Abschätzungen für dieR-Ordnung hergeleitet und dann auf eine Klasse von Iterationsverfahren zur Einschließung der Inversen einer Matrix angewendet.

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References

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Added in proof

  1. Burmeister, W., Schmidt, J. W.: Characterization of the bestR-orders of coupled sequences arising in iterative processes. Numerical Methods and Applications '84, Sofia, 191–202 (1985).

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Authors and Affiliations

  1. Fachbereich Mathematik, Universität Oldenburg, D-2900, Oldenburg, Federal Republic of Germany

    J. Herzberger

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  1. J. Herzberger
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Herzberger, J. On the R-order of some recurrences with applications to inclusion-methods II. Computing 37, 255–259 (1986). https://doi.org/10.1007/BF02252516

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  • DOI: https://doi.org/10.1007/BF02252516

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