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New condition numbers for matrices and linear systems

Neue Konditionszahlen für Matrizen und lineare Gleichungssysteme

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Abstract

New condition numbers for matrices and linear systems are proposed, based on the dependence of the relative errors in the result upon the relative errors of the data.

Zusammenfassung

Neue Konditionszahlen für Matrizen und lineare Gleichungssysteme werden eingeführt, die auf der Abhängigkeit der relativen Fehler des Resultats von den relativen Datenfehlern basieren.

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References

  1. Alefeld, G., Herzberger, J.: Introduction to Interval Computations. New York: Academic Press 1983.

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  2. Deif, A.: Sensitivity Analysis in Linear Systems. Berlin-Heidelberg-New York: Springer 1986.

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  3. Miller, W.: On an interval-arithmetic matrix method. BIT12 213–219 (1972).

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University, Malostranské nám. 25, CS-11800, Prague 1, Czechoslovakia

    J. Rohn

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  1. J. Rohn
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Cite this article

Rohn, J. New condition numbers for matrices and linear systems. Computing 41, 167–169 (1989). https://doi.org/10.1007/BF02238741

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  • DOI: https://doi.org/10.1007/BF02238741

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