Practical Need for Algebraic (Equality-Type) Solutions of Interval Equations and for Extended-Zero Solutions
| Autor: | Andrzej Pownuk, Pavel Sevastjanov, Vladik Kreinovich, Ludmila Dymova |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Discrete mathematics
Computer science Algebraic solution Computation 0102 computer and information sciences 02 engineering and technology Interval (mathematics) Type (model theory) System of linear equations 01 natural sciences Interval arithmetic 010201 computation theory & mathematics 0202 electrical engineering electronic engineering information engineering Real algebraic geometry Applied mathematics 020201 artificial intelligence & image processing Algebraic number Differential algebraic geometry |
| Zdroj: | Parallel Processing and Applied Mathematics ISBN: 9783319780535 PPAM (2) |
| DOI: | 10.1007/978-3-319-78054-2_39 |
| Popis: | One of the main problems in interval computations is solving systems of equations under interval uncertainty. Usually, interval computation packages consider united, tolerance, and control solutions. In this paper, we explain the practical need for algebraic (equality-type) solutions, when we look for solutions for which both sides are equal. In situations when such a solution is not possible, we provide a justification for extended-zero solutions, in which we ignore intervals of the type \([-a,a]\). |
| Databáze: | OpenAIRE |
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