Titel
Using interval unions to solve linear systems of equations with uncertainties
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Abstract
An interval union is a finite set of closed and disjoint intervals. In this paper we introduce the interval union Gauss–Seidel procedure to rigorously enclose the solution set of linear systems with uncertainties given by intervals or interval unions. We also present the interval union midpoint and Gauss–Jordan preconditioners. The Gauss–Jordan preconditioner is used in a mixed strategy to improve the quality and efficiency of the algorithm. Numerical experiments on interval linear systems generated at random show the capabilities of our approach.
Stichwort
Interval union arithmeticInterval union linear systemsInterval union Gauss–SeidelRigorous numerical linear algebra
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
Erschienen in
Titel
BIT Numerical Mathematics
Band
57
Ausgabe
3
Seitenanfang
901
Seitenende
926
Publication
Springer Nature
Erscheinungsdatum
2017
Zugänglichkeit
Rechte
Rechteangabe
© The Author(s) 2017
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