Copied Parametrisierte uniforme Berechnungskomplexitt in Geometrie und Numerik
Parametrisierte uniforme Berechnungskomplexitt in Geometrie und Numerik
Carsten Rsnick legt seiner Arbeit die Frage nach der algorithmischen Komplexitt der approximativen Berechnung von Operatoren aus Geometrie, Topologie und Analysis zugrunde. Er betrachtet Operatoren wie Mengendurchschnitt, Projektion, Maximierung, Integration und Funktionsinversion. Der Begriff der Komplexitt ist hierbei im rigorosen Sinne von garantierten Laufzeitschranken und asymptotischen Optimalittsbeweisen zu verstehen. Dazu fhrt der Autor Kodierungen fr Mengen und Funktionen ein und untersucht sie hinsichtlich ihrer (Polynomialzeit-)quivalenz, um schlielich in der Bestimmung parametrisierter Komplexittsschranken fr obige Operatoren Verwendung zu finden.
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