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A low complexity explicit rational centered form

Eine explizite rationale zentrische Form niedriger Komplexität

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Abstract

A centered form of very low complexity is defined for rational functions. Some numerical examples are calculated.

Zusammenfassung

Eine zentrische Form kleiner Komplexität für rationale Funktionen wird definiert. Einige numerische Beispiele werden angegeben.

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References

  1. Alefeld, G., Herzberger, J.: Introduction to Interval Computations. New York: Academic Press 1984.

    Google Scholar 

  2. Cornelius, H., Lohner, R.: Computing the range of real functions with accuracy higher than second order. Manuscript, Karlsruhe, 1983.

  3. Hansen, E.: The centered form. In: Topics in Interval Analysis (Hansen, E., ed.), 102–105. Oxford: 1969.

  4. Krawczyk, R.: Intervallsteigerungen für rationale Funktionen und zugeordnete zentrische Formen. Freiburger Intervall-Berichte 83/2.

  5. Krawczyk, R., Nickel, K.: Die zentrische Form in der Intervallarithmetik, ihre quadratische Konvergenz und ihre Inklusionsisotonie. Computing28, 117–132 (1982).

    Article  Google Scholar 

  6. Moore, R.: Interval Arithmetic. Englewood Cliffs, N. J.: Prentice-Hall 1966.

    Google Scholar 

  7. Ratschek, H.: Centered forms. SIAM J. Numer. Anal.17, 656–662 (1980).

    Article  Google Scholar 

  8. Ratschek, H., Rokne, J.: Computer Methods for the Range of Functions. Chichester: Ellis Horwood 1984.

    Google Scholar 

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Rokne, J. A low complexity explicit rational centered form. Computing 34, 261–263 (1985). https://doi.org/10.1007/BF02253321

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  • DOI: https://doi.org/10.1007/BF02253321

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