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A Farkas-type theorem for linear interval equations

Ein Satz von Farkasschen Type für lineare Intervallgleichungssysteme

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Abstract

We give a Farkas-type necessary and sufficient condition for a system of linear interval equations to have a nonnegative solution, and derive a consequence of it.

Zusammenfassung

Notwendige und hinreichende Bedingungen für die Existenz einer nichtnegativen Lösung eines linearen Intervallgleichungssystems werden angegeben.

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References

  1. Oettli, W., and Prager, W.: Compatibility of Approximate Solution of Linear Equations with Given Error Bounds for Coefficients and Right-Hand Sides, Numerische Mathematik 6(1964), 405–409.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University, Malostranské nám. 25, CS-118 00, Prague, Czechoslovakia

    J. Rohn

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  1. J. Rohn
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Rohn, J. A Farkas-type theorem for linear interval equations. Computing 43, 93–95 (1989). https://doi.org/10.1007/BF02243809

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  • DOI: https://doi.org/10.1007/BF02243809

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