A Generalized Interval LU Decomposition for the Solution of Interval Linear Systems

DOI10.1007/978-3-540-70942-8_37zbMath1137.65333OpenAlexW1558715006MaRDI QIDQ5756207

Gilles Chabert, Alexandre Goldsztejn

Publication date: 3 September 2007

Published in: Numerical Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-70942-8_37

zbMATH Keywords

LU decompositiongeneralized interval matricesgeneralized interval arithmetic

Mathematics Subject Classification ID

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

Related Items (5)

Inner and outer estimations of the generalized solution sets and an application in economic ⋮ Solving interval systems of equations obtained during the numerical solution of boundary value problems ⋮ Concept of modeling uncertainly defined shape of the boundary in two-dimensional boundary value problems and verification of its reliability ⋮ The influence of interval arithmetic on the shape of uncertainly defined domains modelled by closed curves ⋮ Uncertainty analysis of large structures using universal grey number theory

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