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On the Hull of the Solution Sets of Interval Linear Equations

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Scientific Computing, Validated Numerics, Interval Methods
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Abstract

We show the formulas for the exact interval bounds of the solution set of interval linear equations. The algorithm for computing the enclosure for this interval bounds will be presented.

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References

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

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  2. Dantzig, G., B. Linear Programming and Extensions, Princeton University Press, Princeton, New Jersey, 1963.

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  3. Chvâtal, V. Linear Programming, Freeman and Company, New York, 1983.

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  4. Neumaier, A. Interval Methods for Systems of Equations, Cambridge University Press, Cambridge, 1990.

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  5. 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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  6. Rohn, J. Systems of linear interval equations,Linear Algebra and Its Applications 126 (1989), 39–78.

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© 2001 Springer Science+Business Media New York

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Konickova, J. (2001). On the Hull of the Solution Sets of Interval Linear Equations. In: Krämer, W., von Gudenberg, J.W. (eds) Scientific Computing, Validated Numerics, Interval Methods. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6484-0_8

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  • DOI: https://doi.org/10.1007/978-1-4757-6484-0_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-3376-8

  • Online ISBN: 978-1-4757-6484-0

  • eBook Packages: Springer Book Archive

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