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Displaying 201 – 220 of 450

Locally Lipschitz vector optimization with inequality and equality constraints

Ivan Ginchev, Angelo Guerraggio, Matteo Rocca (2010)

Applications of Mathematics

The present paper studies the following constrained vector optimization problem: ${min}_{C} f (x)$ , $g (x) \in - K$ , $h (x) = 0$ , where $f : ℝ^{n} \to ℝ^{m}$ , $g : ℝ^{n} \to ℝ^{p}$ are locally Lipschitz functions, $h : ℝ^{n} \to ℝ^{q}$ is $C^{1}$ function, and $C \subset ℝ^{m}$ and $K \subset ℝ^{p}$ are closed convex cones. Two types of solutions are important for the consideration, namely $w$ -minimizers (weakly efficient points) and $i$ -minimizers (isolated minimizers of order 1). In terms of the Dini directional derivative first-order necessary conditions for a point $x^{0}$ to be a $w$ -minimizer and first-order sufficient conditions for $x^{0}$ ...

Lösungsalgorithmen für quadratische Optimierungsaufgaben mit nicht notwendig konvexer Zielfunktion

Klaus Lommatzsch (1974)

Aplikace matematiky

Mathematical and numerical analysis of an alternative well-posed two-layer turbulence model

Bijan Mohammadi, Guillaume Puigt (2001)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

In this article, we wish to investigate the behavior of a two-layer $k - ε$ turbulence model from the mathematical point of view, as this model is useful for the near-wall treatment in numerical simulations. First, we explain the difficulties inherent in the model. Then, we present a new variable $θ$ that enables the mathematical study. Due to a problem of definition of the turbulent viscosity on the wall boundary, we consider an alternative version of the original equation. We show that some physical aspects...

Mathematical and Numerical Analysis of an Alternative Well-Posed Two-Layer Turbulence Model

Bijan Mohammadi, Guillaume Puigt (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

In this article, we wish to investigate the behavior of a two-layer k - ε turbulence model from the mathematical point of view, as this model is useful for the near-wall treatment in numerical simulations. First, we explain the difficulties inherent in the model. Then, we present a new variable θ that enables the mathematical study. Due to a problem of definition of the turbulent viscosity on the wall boundary, we consider an alternative version of the original equation. We show that some physical...

Mathematical programming problems involving continuum of inequality constraints

Jaroslav Doležal (1982)

Kybernetika

Matrice pseudo-inverse de Moore-Penrose et variables duales généralisées en programmation mathématique

M. Desplas (1992)

RAIRO - Operations Research - Recherche Opérationnelle

Maximal monotone relations and the second derivatives of nonsmooth functions

R. T. Rockafellar (1985)

Annales de l'I.H.P. Analyse non linéaire

Maximisation globale de la norme euclidienne sur un compact : résolution approchée par utilisation des problèmes projetés

Bernard Lacolle (1979)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Maximum likelihood estimates with order restrictions on probabilities and odds ratios: A geometric programming approach.

Bricker, D.L., Kortanek, K.O., Xu, L. (1997)

Journal of Applied Mathematics and Decision Sciences

Max-separable equations and the set covering

Amer F. Jajou, Karel Zimmermann (1989)

Acta Universitatis Carolinae. Mathematica et Physica

Méthode de recherche d'un extremum d'une fonction monodimensionnelle

Odile Mignotte (1975)

RAIRO - Operations Research - Recherche Opérationnelle

Méthode du GRG, méthode de Newton globale et application à la programmation mathématique

Jean Abadie, Gabriel Guerrero (1984)

RAIRO - Operations Research - Recherche Opérationnelle

Méthode du sous-gradient réduit généralisé comme extension du GRG d'Abadie au cas non différentiable

A. El Ghali (1992)

RAIRO - Operations Research - Recherche Opérationnelle

Metodi ibridi per equazioni non lineari non differenziabili di tipo «semismooth»

Sandra Pieraccini (2001)

Bollettino dell'Unione Matematica Italiana

Metodi lagrangiani per problemi di controllo ottimo nel discreto

Carla Durazzi (2000)

Bollettino dell'Unione Matematica Italiana

Metodi numerici per la minimizzazione di funzioni

Germana Landi (2001)

Bollettino dell'Unione Matematica Italiana

Minimization of nonsmooth convex functionals in Banach spaces.

Alber, Ya.I., Iusem, A.N., Solodov, M.V. (1997)

Journal of Convex Analysis

Minimizing the fuel consumption of a vehicle from the Shell Eco-marathon: a numerical study

Sophie Jan (2013)

ESAIM: Control, Optimisation and Calculus of Variations

We apply four different methods to study an intrinsically bang-bang optimal control problem. We study first a relaxed problem that we solve with a naive nonlinear programming approach. Since these preliminary results reveal singular arcs, we then use Pontryagin’s Minimum Principle and apply multiple indirect shooting methods combined with homotopy approach to obtain an accurate solution of the relaxed problem. Finally, in order to recover a purely bang-bang solution for the original problem, we...

Min-max pour des critères multiples

Constantin Drăgusin (1978)

RAIRO - Operations Research - Recherche Opérationnelle

Mise à jour de la métrique dans les méthodes de quasi-Newton réduites en optimisation avec contraintes d'égalité

Jean Charles Gilbert (1988)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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