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
Alefeld, G., Herzberger, J.: Introduction to Interval Computations. New York: Academic Press 1983.
Deif, A.: Sensitivity Analysis in Linear Systems. Berlin-Heidelberg-New York: Springer 1986.
Miller, W.: On an interval-arithmetic matrix method. BIT12 213–219 (1972).
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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