Enhancing monotonicity checking in parametric interval linear systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10385573" target="_blank" >RIV/00216208:11320/18:10385573 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.29007/1vkp" target="_blank" >https://doi.org/10.29007/1vkp</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.29007/1vkp" target="_blank" >10.29007/1vkp</a>

Result language
angličtina
Original language name
Enhancing monotonicity checking in parametric interval linear systems
Original language description
Solving systems of parametric linear equations with parameters varying within closed intervals is a hard computational problem. However, we may reduce the problem dimension and thus make the problem more tractable by utilizing the monotonicity of the solution components with respect to the parameters. In this paper, we propose two improvements of the standard monotonicity checking techniques. The first improvement relies on creating a system with original variables and their derivatives as unknowns, and the second one employs the so-called p-solution. By a series of numerical experiments we show that the improved monotonicity approach outperforms the standard one.
Czech name
—
Czech description
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Project
<a href="/en/project/GA18-04735S" target="_blank" >GA18-04735S: Novel approaches for relaxation and approximation techniques in deterministic global optimization</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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