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Linear Interval Equations: Computing Enclosures with Bounded Relative Overestimation is NP-Hard

  • Jiří Rohn
Part of the Applied Optimization book series (APOP, volume 3)

Abstract

It is proved that if there exists a polynomial-time algorithm for enclosing solutions of linear interval equations with relative overestimation better than \(\frac{4}{{{n^2}}}\) (where n is the number of equations), then P=NP. The result holds for the symmetric case as well.

Keywords

Symmetric Matrice Symmetric Case Rational Bound Interval Matrix Linear Interval System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Jiří Rohn
    • 1
    • 2
  1. 1.Faculty of Mathematics and PhysicsCharles UniversityPragueCzech Republic
  2. 2.Institute of Computer ScienceAcademy of SciencesPragueCzech Republic

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