Extension of the Hansen-Bliek method to right-quantified linear systems

DOI10.1007/s11155-007-9037-6zbMath1128.65025OpenAlexW2066483414MaRDI QIDQ2641465

Gilles Chabert, Alexandre Goldsztejn

Publication date: 20 August 2007

Published in: Reliable Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11155-007-9037-6

zbMATH Keywords

numerical examplesinterval arithmeticpolynomial-time algorithmlinear interval systeminterval hullAE-solution setright-quantified linear system

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

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• Solving linear interval systems is NP-hard even if we exclude overflow and underflow
• The solution of linear interval equations by a linear programming method
• A simple derivation of the Hansen-Bliek-Rohn-Ning-Kearfott enclosure for linear interval equations
• A new technique in systems analysis under interval uncertainty and ambiguity
• Outer estimation of generalized solution sets to interval linear systems
• A right-preconditioning process for the formal-algebraic approach to inner and outer estimation of AE-solution sets.
• Interval Methods for Systems of Equations
• Bounding the Solution of Interval Linear Equations
• A Comparison of some Methods for Solving Linear Interval Equations
• On the Solution Set of a Linear System with Inaccurate Coefficients
• Interval Gauss-Seidel method for generalized solution sets to interval linear systems

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