Abstract | ||
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We deal with real preconditioned interval linear systems of equations. We present a new operator, which generalizes the interval Gauss-Seidel operator. Also, based on the new operator and properties of well-known methods, we propose a new algorithm, called the magnitude method. We illustrate by numerical examples that our approach outperforms some classical methods with respect to both time and sharpness of enclosures. |
Year | DOI | Venue |
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2014 | 10.1137/130914358 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
linear interval systems,solution set,interval matrix | Linear equation,Magnitude (mathematics),Mathematical optimization,Semi-elliptic operator,Linear system,Multiplication operator,Mathematical analysis,Operator (physics),Solution set,Operator (computer programming),Mathematics | Journal |
Volume | Issue | ISSN |
52 | 1 | 0036-1429 |
Citations | PageRank | References |
6 | 0.55 | 0 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Milan Hladík | 1 | 268 | 36.33 |