Abstract-ZusammenfassungInterval Analytic Treatment of Convex Programming Problems. A nonlinear convex programming problem is solved by methods of interval arithmetic which take into account the input errors and the round-off errors. The problem is reduced to the solution of a nonlinear parameter dependent system of equations. Moreover error estimations are developed for special problems with uniformly convex cost functions.Intervallanalytische Behandlung konvexer Optimierungsaufgaben. Es wird ein nichtlineares konvexes Optimiertmgsproblem mit Hilfe der Intervallarithmetik gel6st, wobei die Eingangs-und Rundungsfehler beriicksichtigt werden. Dieses Problem wird zuriickgefithrt auf die L6sung eines parameterabh~ingigen nichtlinearen Gleichungssystems. AuBerdem werden Fehlerabschatzungen for spezielle Probleme mit stark konvexen Zielfunktionen angegeben.,
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.