This HTML5 document contains 43 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
n18http://localhost/temp/predkladatel/
n4http://linked.opendata.cz/resource/domain/vavai/projekt/
n17http://linked.opendata.cz/resource/domain/vavai/subjekt/
n16http://linked.opendata.cz/ontology/domain/vavai/
n13http://linked.opendata.cz/resource/domain/vavai/vysledek/RIV%2F68407700%3A21230%2F12%3A00194284%21RIV13-GA0-21230___/
shttp://schema.org/
skoshttp://www.w3.org/2004/02/skos/core#
rdfshttp://www.w3.org/2000/01/rdf-schema#
n3http://linked.opendata.cz/ontology/domain/vavai/riv/
n20http://bibframe.org/vocab/
n2http://linked.opendata.cz/resource/domain/vavai/vysledek/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n8http://linked.opendata.cz/ontology/domain/vavai/riv/klicoveSlovo/
n19http://linked.opendata.cz/ontology/domain/vavai/riv/duvernostUdaju/
xsdhhttp://www.w3.org/2001/XMLSchema#
n12http://linked.opendata.cz/ontology/domain/vavai/riv/jazykVysledku/
n5http://linked.opendata.cz/ontology/domain/vavai/riv/aktivita/
n7http://linked.opendata.cz/ontology/domain/vavai/riv/druhVysledku/
n6http://linked.opendata.cz/ontology/domain/vavai/riv/obor/
n15http://reference.data.gov.uk/id/gregorian-year/

Statements

Subject Item
n2:RIV%2F68407700%3A21230%2F12%3A00194284%21RIV13-GA0-21230___
rdf:type
skos:Concept n16:Vysledek
rdfs:seeAlso
http://dx.doi.org/10.1080/10556788.2010.547580
dcterms:description
We consider the problem of minimizing a functional (such as the area, perimeter and surface) within the class of convex bodies whose support functions are trigonometric polynomials. The convexity constraint is transformed via the Fejér-Riesz theorem on positive trigonometric polynomials into a semidefinite programming problem. Several problems such as the minimization of the area in the class of constantwidth planar bodies, rotors and space bodies of revolution are revisited. The approach seems promising to investigate more difficult optimization problems in the class of three-dimensional convex bodies. We consider the problem of minimizing a functional (such as the area, perimeter and surface) within the class of convex bodies whose support functions are trigonometric polynomials. The convexity constraint is transformed via the Fejér-Riesz theorem on positive trigonometric polynomials into a semidefinite programming problem. Several problems such as the minimization of the area in the class of constantwidth planar bodies, rotors and space bodies of revolution are revisited. The approach seems promising to investigate more difficult optimization problems in the class of three-dimensional convex bodies.
dcterms:title
Semidefinite programming for optimizing convex bodies under width constraints Semidefinite programming for optimizing convex bodies under width constraints
skos:prefLabel
Semidefinite programming for optimizing convex bodies under width constraints Semidefinite programming for optimizing convex bodies under width constraints
skos:notation
RIV/68407700:21230/12:00194284!RIV13-GA0-21230___
n16:predkladatel
n17:orjk%3A21230
n3:aktivita
n5:P
n3:aktivity
P(GAP103/10/0628)
n3:cisloPeriodika
6
n3:dodaniDat
n15:2013
n3:domaciTvurceVysledku
Henrion, Didier
n3:druhVysledku
n7:J
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n13:predkladatel
n3:idSjednocenehoVysledku
167401
n3:idVysledku
RIV/68407700:21230/12:00194284
n3:jazykVysledku
n12:eng
n3:klicovaSlova
convexity; optimization; semidefinite programming; support function
n3:klicoveSlovo
n8:semidefinite%20programming n8:optimization n8:convexity n8:support%20function
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[00758F18C446]
n3:nazevZdroje
Optimization Methods and Software
n3:obor
n6:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n4:GAP103%2F10%2F0628
n3:rokUplatneniVysledku
n15:2012
n3:svazekPeriodika
27
n3:tvurceVysledku
Bayen, T. Henrion, Didier
n3:wos
000306841500009
s:issn
1055-6788
s:numberOfPages
27
n20:doi
10.1080/10556788.2010.547580
n18:organizacniJednotka
21230