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  • Zavedeme nový axiomatický rámec pro popis optimalizačních problémů, takzvané porušovačské prostory, což je pojem obecnější než problémy typu LP, zavedené Sharirem a Welzlem. Ukážeme, že Clarksonův pravděpodobnostní algoritmus pro lineární programování v malé dimenzi se dá použít v kontextu porušovačských prostorů. Například tak dostaneme nejrychlejší známý algoritmus pro zobecněný problém lineární komplementarity s P-maticí s počtem bloků omezeným konstantou. Také podáme dvě nové charakterizace problémů typu LP. (cs)
  • We define a new abstract framework for optimization problems, violator spaces, which is a proper generalization of the LP-type problems introduced by Sharir and Welzl. We show that Clarkson's randomized algorithm for low-dimensional linear programming works in the context of violator spaces. For example, in this way we obtain the fastest known algorithm for the P-matrix generalized linear complementarity problem with a constant number of blocks. We also give two new characterizations of LP-type problems.
  • We define a new abstract framework for optimization problems, violator spaces, which is a proper generalization of the LP-type problems introduced by Sharir and Welzl. We show that Clarkson's randomized algorithm for low-dimensional linear programming works in the context of violator spaces. For example, in this way we obtain the fastest known algorithm for the P-matrix generalized linear complementarity problem with a constant number of blocks. We also give two new characterizations of LP-type problems. (en)
Title
  • Violator spaces: structure and algorithms
  • Porušovačské prostory - struktura a algoritmy (cs)
  • Violator spaces: structure and algorithms (en)
skos:prefLabel
  • Violator spaces: structure and algorithms
  • Porušovačské prostory - struktura a algoritmy (cs)
  • Violator spaces: structure and algorithms (en)
skos:notation
  • RIV/00216208:11320/08:00100875!RIV09-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), Z(MSM0021620838)
http://linked.open...iv/cisloPeriodika
  • 11
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  • 402710
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  • RIV/00216208:11320/08:00100875
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  • Violator; spaces; structure; algorithms (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [61F2A8BC7C18]
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  • Discrete Applied Mathematics
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  • 156
http://linked.open...iv/tvurceVysledku
  • Matoušek, Jiří
  • Gärtner, Bernd
  • Škovroň, Petr
  • Rüst, Leo
http://linked.open...ain/vavai/riv/wos
  • 000258804700015
http://linked.open...n/vavai/riv/zamer
issn
  • 0166-218X
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  • 11320
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