Results 1 to 10 of about 16 (16)

On duality principles and related convex dual formulations suitable for local and global non-convex variational optimization

Nonlinear Engineering, 2023
This article develops duality principles, a related convex dual formulation and primal dual formulations suitable for the local and global optimization of non convex primal formulations for a large class of models in physics and engineering.
Botelho Fabio Silva
doaj   +1 more source

Dualization and discretization of linear-quadratic control problems with bang–bang solutions

EURO Journal on Computational Optimization, 2016
We consider linear-quadratic (LQ) control problems, where the control variable appears linearly and is box-constrained. It is well-known that these problems exhibit bang–bang and singular solutions. We assume that the solution is of bang–bang type, which
Walter Alt, C. Yalçın Kaya, Christopher Schneider   +2 more
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Quasiconvex bulk and surface energies: C1,α regularity

Advances in Nonlinear Analysis
We establish regularity results for equilibrium configurations of vectorial multidimensional variational problems, involving bulk and surface energies.
Carozza Menita, Esposito Luca, Lamberti Lorenzo   +2 more
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Variational formulations for the Euler and Navier–Stokes systems in fluid mechanics and related models

Nonlinear Engineering
In its first part, this article develops a variational formulation for the incompressible Euler system in fluid mechanics. The results are based on standard tools of calculus of variations and constrained optimization.
Botelho Fabio Silva
doaj   +1 more source

Sufficiency of $\boldsymbol{c}$ -cyclical monotonicity in a class of multi-marginal optimal transport problems

European Journal of Applied Mathematics
$c$ -cyclical monotonicity is the most important optimality condition for an optimal transport plan. While the proof of necessity is relatively easy, the proof of sufficiency is often more difficult or even elusive.
Luigi De Pascale, Anna Kausamo
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Optimization of Lagrange problem with higher-order differential inclusion and special boundary-value conditions

Demonstratio Mathematica
This article concerns about optimality conditions for boundary-value problems related to differential inclusions (DFIs) of higher orders. We intend to attain optimality conditions when a general Lagrange functional takes place in the cost function ...
Yıldırım Uğur, Mastaliyeva Dilara I., Mahmudov Elimhan N.   +2 more
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New duality results for evenly convex optimization problems. [PDF]

Optimization, 2021
Fajardo MD, Grad SM, Vidal J.
europepmc   +1 more source

Employing different loss functions for the classification of images via supervised learning

Open Mathematics, 2014
Boţ Radu, Heinrich André, Wanka Gert
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Duality in nonlinear programming problems under fuzzy environment with exponential membership functions. [PDF]

J Inequal Appl, 2018
Gupta SK, Dangar D, Ahmad I, Al-Homidan S.   +3 more
europepmc   +1 more source

Revisiting the construction of gap functions for variational inequalities and equilibrium problems via conjugate duality

Open Mathematics, 2013
Cioban Liana, Csetnek Ernö
doaj   +1 more source