Title
Interval Arithmetic, Affine Arithmetic, Taylor Series Methods: Why, What Next?
Abstract
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
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. Nedialkov113715.82
Vladik Kreinovich21091281.07
Scott A. Starks36112.76