Characterization of AE solution sets of parametric linear systems based on the techniques of convex sets
| Autor: | J. Wa̧sowski, T. Rzeżuchowski |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Convex analysis
Numerical Analysis Mathematical optimization Algebra and Number Theory Linear system 0211 other engineering and technologies Convex set Solution set Proper convex function 021107 urban & regional planning 010103 numerical & computational mathematics 02 engineering and technology Support function 01 natural sciences Minkowski addition Convex polytope Discrete Mathematics and Combinatorics Applied mathematics Geometry and Topology 0101 mathematics Mathematics |
| Zdroj: | Linear Algebra and its Applications. 533:468-490 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2017.07.035 |
| Popis: | New approach to linear systems with uncertain parameters is proposed. The notion of AE solution sets is extended to the case when the domain of parameters need not be an interval vector. The tools from the theory of convex sets are applied to the characterization of AE solution sets. The description of these sets by systems of inequalities is presented. Some examples are included. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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