Abstract | ||
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Abstract: In interval computations, the range of each intermediate result r is described by an intervalr. To decrease excess interval width, we can keep some information on how r depends on theinput x = (x 1 ; : : : ; xn ). There are several successful methods of approximating this dependence;in these methods, the dependence is approximated by linear functions (affine arithmetic) or bygeneral polynomials (Taylor series methods). Why linear functions and polynomials? Whatother classes can we... |
Year | DOI | Venue |
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2004 | 10.1023/B:NUMA.0000049478.42605.cf | Numerical Algorithms |
Keywords | Field | DocType |
affine arithmetic,interval arithmetic,taylor series | Discrete mathematics,Mathematical optimization,Algebra,Polynomial,Mathematical analysis,Affine arithmetic,Interval arithmetic,Linear function,Mathematics,Taylor series,Computation | Journal |
Volume | Issue | ISSN |
37 | 1-4 | 1572-9265 |
Citations | PageRank | References |
13 | 0.83 | 6 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nedialko S. Nedialkov | 1 | 137 | 15.82 |
Vladik Kreinovich | 2 | 1091 | 281.07 |
Scott A. Starks | 3 | 61 | 12.76 |