A Survey of Methods for the Estimation Ranges of Functions Using Interval Arithmetic

Julius Žilinskas () and Ian David Lockhart Bogle ()
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Julius Žilinskas: Institute of Mathematics and Informatics
Ian David Lockhart Bogle: University College London

A chapter in Models and Algorithms for Global Optimization, 2007, pp 97-108 from Springer

Abstract: Abstract Interval arithmetic is a valuable tool in numerical analysis and modeling. Interval arithmetic operates with intervals defined by two real numbers and produces intervals containing all possible results of corresponding real operations with real numbers from each interval. An interval function can be constructed replacing the usual arithmetic operations by interval arithmetic operations in the algorithm calculating values of functions. An interval value of a function can be evaluated using the interval function with interval arguments and determines the lower and upper bounds for the function in the region defined by the vector of interval arguments.

Keywords: Global Optimization; Interval Function; Interval Arithmetic; Sample Standard Deviation; Estimation Range (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/978-0-387-36721-7_6

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