Computation of Algebraic Solutions to Interval Systems Via Systems of Coordinates

DOI10.1007/978-1-4757-6484-0_9zbMath1391.65131OpenAlexW135106132MaRDI QIDQ4577108

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Publication date: 16 July 2018

Published in: Scientific Computing, Validated Numerics, Interval Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4757-6484-0_9

zbMATH Keywords

interval arithmeticinclusion isotonicitysystems of linear interval equationsmidpoint-radius coordinatescentered outward interval multiplication

Mathematics Subject Classification ID

General methods in interval analysis (65G40)

Related Items (6)

Extended gradual interval (EGI) arithmetic and its application to gradual weighted averages ⋮ Stochastic arithmetic: Addition and multiplication by scalars ⋮ Solving systems of linear fuzzy equations by parametric functions -- an improved algorithm ⋮ On the algebraic Properties of Stochastic Arithmetic. Comparison to Interval Arithmetic ⋮ A midpoint-radius approach to regression with interval data ⋮ On quasilinear spaces of convex bodies and intervals.

Uses Software

• INTLAB

Cites Work

• Systems of linear interval equations
• Representation of interval operations by coordinates
• Fast and parallel interval arithmetic
• Interval solutions of linear interval equations
• Interval Methods for Systems of Equations
• Diagrammatic representation for interval arithmetic
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