GLOBAL OPTIMIZATION USING SPACE FILLING CURVES
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F17%3A10238523" target="_blank" >RIV/61989100:27240/17:10238523 - isvavai.cz</a>
Result on the web
<a href="http://advances.utc.sk/index.php/AEEE/index" target="_blank" >http://advances.utc.sk/index.php/AEEE/index</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.15598/aeee.v15i2.2303" target="_blank" >10.15598/aeee.v15i2.2303</a>
Alternative languages
Result language
angličtina
Original language name
GLOBAL OPTIMIZATION USING SPACE FILLING CURVES
Original language description
The existence of space filling curves opens the way to reducing multivariate optimization problems to the minimization of univariate functions. In this paper, we analyze the Hoelder continuity of space filling curves and exploit this property in the solution of global optimization problems. Subsequently, an algorithm for minimizing univariate Hoelder continuous functions is presented and analyzed. It is shown that the algorithm computes the approximate minimum with the guaranteed precision. The algorithm is tested on some types of two-dimensional functions.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Electrical and Electronic Engineering
ISSN
1336-1376
e-ISSN
—
Volume of the periodical
15
Issue of the periodical within the volume
2
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
7
Pages from-to
251-257
UT code for WoS article
000409044400016
EID of the result in the Scopus database
2-s2.0-85025599892