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» On the functional form of convex underestimators for twice c...
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ADCM
2010
129views more  ADCM 2010»
13 years 5 months ago
Construction of positive definite cubature formulae and approximation of functions via Voronoi tessellations
Let Rd be a compact convex set of positive measure. In a recent paper, we established a definiteness theory for cubature formulae of order two on . Here we study extremal propert...
Allal Guessab, Gerhard Schmeisser
SIAMCO
2010
119views more  SIAMCO 2010»
13 years 2 days ago
On the Structure of the Minimum Time Function
A minimum time problem with a nonlinear smooth dynamics and a target satisfying an internal sphere condition is considered. Under the assumption that the minimum time T be continu...
Giovanni Colombo, Khai T. Nguyen
SIAMCO
2002
81views more  SIAMCO 2002»
13 years 5 months ago
Optimality Conditions for Irregular Inequality-Constrained Problems
Abstract. We consider feasible sets given by conic constraints, where the cone defining the constraints is convex with nonempty interior. We study the case where the feasible set i...
Alexey F. Izmailov, Mikhail V. Solodov
HIS
2007
13 years 6 months ago
Exploration of Pareto Frontier Using a Fuzzy Controlled Hybrid Line Search
This paper proposes a new approach for multicriteria optimization which aggregates the objective functions and uses a line search method in order to locate an approximate efficien...
Crina Grosan, Ajith Abraham