Power and beauty of interval methods

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dc.creatorGutowski, Marek W.
dc.date2003-02-11
dc.date2003-02-20
dc.date.accessioned2026-07-07T05:48:46Z
dc.date.available2026-07-07T05:48:46Z
dc.descriptionInterval calculus is a relatively new branch of mathematics. Initially understood as a set of tools to assess the quality of numerical calculations (rigorous control of rounding errors), it became a discipline in its own rights today. Interval methods are usefull whenever we have to deal with uncertainties, which can be rigorously bounded. Fuzzy sets, rough sets and probability calculus can perform similar tasks, yet only the interval methods are able to (dis)prove, with mathematical rigor, the (non)existence of desired solution(s). Known are several problems, not presented here, which cannot be effectively solved by any other means. This paper presents basic notions and main ideas of interval calculus and two examples of useful algorithms.
dc.descriptionShort, yet highly informative introduction into interval methods with immediate application to experimental data analysis. To be presented on May 26-29, 2003, VI Domestic Conference on Evolutionary Algorithms and Global Optimization, Poland (invited talk). 8 pages, no figures, LaTex2e. Improved layout, simplified notation, keyword list extended
dc.identifierhttps://arxiv.org/abs/physics/0302034
dc.identifierhttp://arxiv.org/abs/physics/0302034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85151
dc.subjectData Analysis, Statistics and Probability
dc.subjectData Structures and Algorithms
dc.subjectGeneral Physics
dc.titlePower and beauty of interval methods
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