About: Quadratic Programming and Scalable Algorithms for Variational Inequalities

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We first review our recent results concerning optimal algorithms for the solution of bound and/or equality constrained quadratic programming problems. The unique feature of these algorithms is the rate of convergence in terms of bounds on the spectrum of the Hessian of the cost function. Then we combine these estimates with some results on the FETI method (FETI-DP, FETI and Total FETI) to get the convergence bounds that guarantee the scalability of the algorithms. i.e. asymptotically linear complexity and the time of solution inverse proportional to the number of processors. The results are confirmed by numerical experiments. We first review our recent results concerning optimal algorithms for the solution of bound and/or equality constrained quadratic programming problems. The unique feature of these algorithms is the rate of convergence in terms of bounds on the spectrum of the Hessian of the cost function. Then we combine these estimates with some results on the FETI method (FETI-DP, FETI and Total FETI) to get the convergence bounds that guarantee the scalability of the algorithms. i.e. asymptotically linear complexity and the time of solution inverse proportional to the number of processors. The results are confirmed by numerical experiments. (en) V práci jsou popsány výsledky autorů v oblas ti vývoje asymptoticky optimálních algoritmů pro řešení úloh kvadratického programování (cs)
Title	Quadratic Programming and Scalable Algorithms for Variational Inequalities Kvadratické programování a škálovatelné algoritmy pro variační nerovnice (cs) Quadratic Programming and Scalable Algorithms for Variational Inequalities (en)
skos:prefLabel	Quadratic Programming and Scalable Algorithms for Variational Inequalities Kvadratické programování a škálovatelné algoritmy pro variační nerovnice (cs) Quadratic Programming and Scalable Algorithms for Variational Inequalities (en)
skos:notation	RIV/61989100:27240/06:00013630!RIV07-GA0-27240___
http://linked.open.../vavai/riv/strany	61-76
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA101/04/1145)
http://linked.open...vai/riv/dodaniDat	2007
http://linked.open...aciTvurceVysledku	Dostál, Zdeněk Horák, David
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / Fakulta elektrotechniky a informatiky
http://linked.open...dnocenehoVysledku	496144
http://linked.open...ai/riv/idVysledku	RIV/61989100:27240/06:00013630
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Quadratic programming; variational inequalities; optimal algorithms (en)
http://linked.open.../riv/klicoveSlovo	variational inequalities Quadratic programming optimal algorithms
http://linked.open...ontrolniKodProRIV	[924AFC2B20ED]
http://linked.open...i/riv/mistoVydani	Berlin
http://linked.open...i/riv/nazevZdroje	Numerical Mathematics and Advanced Applications - ENUMATH 2005
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Development and implementation of scalable numerical methods for solving physically realistic models of contact problems with friction in 2D and 3D
http://linked.open...UplatneniVysledku	2006
http://linked.open...iv/tvurceVysledku	Dostál, Zdeněk Horák, David Stefanica, Dan
number of pages	16 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	3-540-34287-7
http://localhost/t...ganizacniJednotka	27240
is http://linked.open...avai/riv/vysledek of	Quadratic Programming and Scalable Algorithms for Variational Inequalities Quadratic Programming and Scalable Algorithms for Variational Inequalities

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