Abstract | ||
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In many interval computation methods, if we cannot guarantee a solution within a given interval, it often makes sense to "inflate" this interval a little bit. There exist many different "inflation" methods. The authors of PASCAL-XSC, after empirically comparing the behavior of different inflation methods, decided to implement the formula [x-,x+]e = [(1 + e)x- - e · x+, (1 + e)x+ - e · x-]. A natural question is: Is this choice really optimal (in some reasonable sense), or is it only an empirical approximation to the truly optimal choice? |
Year | DOI | Venue |
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1997 | 10.1023/A:1009905822286 | Reliable Computing |
Keywords | Field | DocType |
Mathematical Modeling, Computational Mathematic, Computation Method, Industrial Mathematic, Optimal Choice | Discrete mathematics,Mathematical optimization,Interval arithmetic,Inflation,Mathematics | Journal |
Volume | Issue | ISSN |
3 | 4 | 1573-1340 |
Citations | PageRank | References |
2 | 0.80 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Vladik Kreinovich | 1 | 1091 | 281.07 |
Scott A. Starks | 2 | 61 | 12.76 |
Günter Mayer | 3 | 40 | 15.29 |