O ptimal control problems governed by partial differential equations with state constraints are considered. The state constraints are treated by two types of regularization techniques, namely the Lavrentiev type and the Moreau-Yosida type regularization. For the realization of the numerical solution, a multigrid method is applied to the regularized problems. The main purpose of this research is...

This article examines the problem of depicting a home interior as setting with reference to French literary illustration eighteenth century. Referring scenes from two different series illustrations same texts, author considers role texts in formation visual images interior; methods by artists; prototypes image interior. The main sources research are editions Molière’s Works: engravings based on...

the object of this cross sectional study was to determine the hcv subtype 3a envelope protein binding affinity with human leukocyte antigen. envelope 1 (e1) protein is one of the structural proteins responsible for entering the cells through the receptors. the binding affinity of e1 protein epitopes to the selected human leukocyte antigen (hla) class i alleles was investigated using the compute...

In this paper, we conduct a thorough study on the first and second order properties of the Moreau-Yosida regularization of the vector k-norm function, the indicator function of its epigraph, and the indicator function of the vector k-norm ball. We start with settling the vector k-norm case via applying the existing breakpoint searching algorithms to the metric projector over its dual norm ball....

NeuroPXI : un système multi-électrode temps-réel pour l’enregistrement, le traitement et la stimulation de réseaux neuronaux et le contrôle d’implants à haute résolution spatiale pour la réhabilitation S. Bonnet a,∗, J.-F. Bêche a, S. Gharbi a, O. Abdoun b,c, F. Bocquelet b,c, S. Joucla b,c, V. Agache a, . Sauter a, P. Pham a, F. Dupont a, F. Matonti d, L. Hoffart d, S. Roux d, M. Djilas e,f, B...

We consider conceptual optimization methods combining two ideas: the Moreau-Yosida regularization in convex analysis, and quasi-Newton approximations of smooth functions. We outline several approaches based on this combination, and establish their global convergence. Then we study theoretically the local convergence properties of one of these approaches, which uses quasi-Newton updates of the o...

I N T R O D U C T I O N During the experiments with their bathyscaphe P6r£s, Picard, and Ruivo (1958) at a depth of 2200 m observed fishes (Halosaurus johnsonii) which floated. These fishes have therefore the same density as the surrounding water. T h e density of a fish without a gas-filled swim-bladder is practically independent of depth and it is a few percent higher than the density of the ...

Data Envelopment Analysis (DEA) is a mathematical programming-based approach for evaluates the relative efficiency of a set of DMUs (Decision Making Units). The relative efficiency of a DMU is the result of comparing the inputs and outputs of the DMU and those of other DMUs in the PPS (Production Possibility Set). Also, in Data Envelopment Analysis various models have been developed in order to...

As well known, the Moreau-Rockafellar-Robinson internal point qualification condition is sufficient to ensure that the infimal convolution of the conjugates of two extended-real-valued convex lower semi-continuous functions defined on a locally convex space is exact, and that the sub-differential of the sum of these functions is the sum of their sub-differentials. This note is devoted to provin...