Before using interval analysis as a basic tool in the following chapters, we shall now introduce its main concepts. Section 2.2 recalls fundamental notions on set operators, set functions and set calculus. Section 2.3 then presents basic notions of interval analysis. Section 2.4 is dedicated to the important notion of inclusion function. Finally, Section 2.5 deals with the extension to intervals of logical tests that are almost invariably present in the algorithms of interest to us.
CITATION STYLE
Jaulin, L., Kieffer, M., Didrit, O., & Walter, É. (2001). Interval Analysis. In Applied Interval Analysis (pp. 11–43). Springer London. https://doi.org/10.1007/978-1-4471-0249-6_2
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