Using interval unions to solve linear systems of equations with uncertainties

DOI10.1007/s10543-017-0657-xzbMath1380.65070OpenAlexW2606460999WikidataQ59607679 ScholiaQ59607679MaRDI QIDQ2411656

Arnold Neumaier, Ferenc Domes, Hermann Schichl, Tiago Montanher

Publication date: 24 October 2017

Published in: BIT (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc6399682

zbMATH Keywords

preconditioningnumerical testGauss-Seidel type iterationinterval union arithmetricinterval union linear system

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items

Interval tensors and their application in solving multi-linear systems of equations

Uses Software

• UniCalc
• INTOPT_90
• JGloptLab
• InC++
• NeMo+

Cites Work

• Rigorous filtering using linear relaxations
• Constraint propagation on quadratic constraints
• A comparison of some methods for bounding connected and disconnected solution sets of interval linear systems
• Constraint reasoning based on interval arithmetic: The tolerance propagation approach
• Rigorous global search: continuous problems
• Computational complexity and feasibility of data processing and interval computations
• Interval unions
• Optimal Preconditioning for the Interval Parametric Gauss–Seidel Method
• Interval Methods for Systems of Equations
• Linear Optimization Problems with Inexact Data
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