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» Smoothing by mollifiers. Part II: nonlinear optimization
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JGO
2008
53views more  JGO 2008»
13 years 4 months ago
Smoothing by mollifiers. Part II: nonlinear optimization
This article complements the paper [7], where we showed that a compact feasible set of a standard semi-infinite optimization problem can be approximated arbitrarily well by a leve...
Hubertus Th. Jongen, Oliver Stein
JGO
2008
115views more  JGO 2008»
13 years 4 months ago
Smoothing by mollifiers. Part I: semi-infinite optimization
We show that a compact feasible set of a standard semi-infinite optimization problem can be approximated arbitrarily well by a level set of a single smooth function with certain r...
Hubertus Th. Jongen, Oliver Stein
SIAMNUM
2011
144views more  SIAMNUM 2011»
12 years 12 months ago
Continuous Mesh Framework Part II: Validations and Applications
This paper gives a numerical validation of the continuous mesh framework introduced in Part I [23]. We numerically show that the interpolation error can be evaluated analytically o...
Adrien Loseille, Frédéric Alauzet
CCE
2004
13 years 4 months ago
Part II. Future perspective on optimization
Following from part I, which presents a retrospective on optimization, we focus here on areas that are recent active research topics and are likely to strongly influence the futur...
Ignacio E. Grossmann, Lorenz T. Biegler
ISAAC
2005
Springer
127views Algorithms» more  ISAAC 2005»
13 years 10 months ago
Decision Making Based on Approximate and Smoothed Pareto Curves
Abstract. We consider bicriteria optimization problems and investigate the relationship between two standard approaches to solving them: (i) computing the Pareto curve and (ii) the...
Heiner Ackermann, Alantha Newman, Heiko Rögli...