Affine trajectories in a field of strictly convex functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F15%3A%230001128" target="_blank" >RIV/46747885:24510/15:#0001128 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4902487" target="_blank" >http://dx.doi.org/10.1063/1.4902487</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4902487" target="_blank" >10.1063/1.4902487</a>

Result language
angličtina
Original language name
Affine trajectories in a field of strictly convex functions
Original language description
The paper presents one important and interesting property of strictly convex functions. On the base of previously proved properties of these functions, we can generalize some global-geometric conclusions, without the even assumption of their differentiability, and also point out some geometric characteristics of the sets of all solutions of parametric optimization problems. Two specific nonlinear parametric optimizations of nonlinear problems - the minimization and the maximization problems - exist forthem. They express a pair of dual optimization problems. The set of all optimal points has an important geometric interpretation. This paper connects the proved properties of a specific case and a geometric sense.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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